Sistemas com saturação no controle  VII. VII. Discussões e extensões


 Claud Carpenter
 1 years ago
 Views:
Transcription
1 1 Sistemas com saturação no controle VII. Discussões e extensões Sophie Tarbouriech LAAS  CNRS, Toulouse, France Colaboradores principais : J.M. Gomes da Silva Jr (UFRGS), G. Garcia (LAASCNRS), I. Queinnec (LAASCNRS)
2 Outline 2 Few comments and discussions relative to analysis and synthesis of saturated systems 1. General question 2. Complexity analysis 3. Main remarks 4. Some applications 5. Some extensions 6. Further extensions
3 1. General question 3 Question Is it the effective saturation useful to enlarge the ellipsoidal estimates of the domain of attraction? [Iwasaki, SCL 2002] NO The larger ellipsoidal stability set is achieved for a linear control law (unsaturated) [Gomes da Silva Jr. et al, IEEETAC 2003] YES The larger ellipsoidal stability set is achieved for a linear control law (u = Kx), but in this case K is such that the eigenvalues of (A + BK) have real part ɛ 0 poor performance. If timedomain performances constraints are taken into account, the best ellipsoidal domain is obtained with saturating control laws. Tradeoffs: performance size of the stability region.
4 2. Complexity analysis 4 Saturation regions approaches: BMI (if the set E(c) is unknown) LMI otherwise 3 m constraints Polytopic LDI approaches: BMI (approach 1) LMI (approach 2) 2 m + m constraints Sector Nonlinearities approaches: BMI (approach 1) LMI (approach 2) 1+m constraints
5 2. Complexity analysis 5 Relative to the complexity analysis of the different approaches, the computation of the number of lines and number of variables (elements of the variables) of the LMIs considered is crucial. Indeed, the computation becomes more complex as these numbers increase. In the contexts of the polytopic LDI approaches (1 and 2) and saturation region approaches, one can verify that the complexity analysis exponentially increases. In the context of the sector nonlinearities approach, the complexity only linearly increases. The approach 2 in the context of sector nonlinearities approaches is very interesting and allows to obtain less complex numerical procedures. Generally, the sector nonlinearities approaches allow to obtain larger domains of stability, but there is no mathematical proof they outclass the other ones.
6 Saturation regions approaches: Useful only for stability analysis. Conditions difficult to test. Conservatism of the method. Polytopic LDI approaches: 3. Main remarks 6 Synthesis conditions similar to analysis condition with the classical change of variables K = YW 1. Approach 1 allows: to deal with global asymptotic stability; to consider LPV problems in the discretetime case. Approach 2 main advantage is that it provides LMIs conditions. Sector Nonlinearities approaches: Synthesis conditions similar to analysis condition with the classical change of variables K = YW 1. The computation of global stabilizing gains is direct. Lure type domains of stability can be considered, but only approximation can be plotted.
7 4. Some applications 7 Aeronautics (GARTEUR projects): avoidance of PIO Polytopic LDI approaches (past project) Sector nonlinearities approaches (current project) Spatial (Launcher Ariane 5+) Sector nonlinearities approaches Telecommunication networks Sector nonlinearities approaches
8 5. Some extensions 8 Discretetime systems Control laws via output feedback Static Dynamic It is possible to deal with performance taken into account through LMI regions For example by using Finsler Lemma to do multiobjective Additive disturbance and L 2 problems. Systems subject to uncertainties Timedelay systems Other limitations can be considered such as limitations on the state: Linear limitations Saturation
9 6. Further extensions 9 An interesting problem is to consider systems presenting nested saturations. Such functions appear in: The modelling of nonlinear actuators actuators presenting both amplitude and dynamics saturations [Tarbouriech et al], [Bateman & Lin] The modelling of systems presenting both actuator and sensor amplitude saturation [Tarbouriech et al] The context of some nonlinear control laws [Sontag], [Sussman], [Castelan et al] The forwarding techniques for cascade systems [Teel], [Kokotovic]
10 6. Further extensions 10 To study such systems we use an extension of Lemma 4 of chapter III. Lemma 1 A generic nonlinearity ψ(v) =sat(v) v satisfies the sector condition: ψ(v) T [ψ(v)+w] 0, v, w S(v 0 ) (1) where T is a positive diagonal matrix and the set S(u 0 ) isapolyhedralsetdefinedas follows: S(v 0 )={v R m,w R m ; v 0(i) v (i) w (i) v 0(i), i =1,...,m}
11 6. Further extensions 11 Example. Consider the system: ẋ = A 2 x + B 2 sat u2 (A 1 x + B 1 sat u1 (A 0 x)) This system reads: ẋ =[A 2 + B 2 (A 1 + B 1 A 0 )]x + B 2 ψ 2 + B 2 B 1 ψ 1 with ψ 1 = sat u1 (A 0 x) A 0 x ψ 2 = sat u2 (A 1 x + B 1 sat u1 (A 0 x)) (A 1 x + B 1 sat u1 (A 0 x)) = sat u2 ((A 1 + B 1 A 0 )x + B 1 ψ 1 ) ((A 1 + B 1 A 0 )x + B 1 ψ 1 ) Relation (1) applies for ψ 1 with: Relation (1) applies for ψ 2 with: T = T 1 ; v = A 0 x ; w = G 0 x ; v 0 = u 1 T = T 2 ; v =(A 1 + B 1 A 0 )x + B 1 ψ 1 ; w = G 1 x + G 2 ψ 1 ; v 0 = u 2
Sistemas com saturação no controle
1 Sistemas com saturação no controle VIII. Estratégias antiwindup  Introdução SOPHIE TARBOURIECH LAAS  CNRS, Toulouse, France Colaboradores principais : J.M. Gomes da Silva Jr (UFRGS), G. Garcia (LAASCNRS),
More informationControl Systems with Actuator Saturation
Control Systems with Actuator Saturation Analysis and Design Tingshu Hu Zongli Lin With 67 Figures Birkhauser Boston Basel Berlin Preface xiii 1 Introduction 1 1.1 Linear Systems with Actuator Saturation
More informationACTIVE Queue Management (AQM) on Transmission
INTERNATIONAL JOURNAL OF INTELLIGENT CONTROL AND SYSTEMS VOL. 17, NO. 2, JUNE 212, 4752 Towards Linear Control Approach to AQM in TCP/IP Networks Ricardo Augusto BORSOI, and Fernando Augusto BENDER Abstract
More informationPID Controller Design for Nonlinear Systems Using DiscreteTime Local Model Networks
PID Controller Design for Nonlinear Systems Using DiscreteTime Local Model Networks 4. Workshop für Modellbasierte Kalibriermethoden Nikolaus EulerRolle, Christoph Hametner, Stefan Jakubek Christian
More informationLinearQuadratic Optimal Controller 10.3 Optimal Linear Control Systems
LinearQuadratic Optimal Controller 10.3 Optimal Linear Control Systems In Chapters 8 and 9 of this book we have designed dynamic controllers such that the closedloop systems display the desired transient
More informationLecture 13 Linear quadratic Lyapunov theory
EE363 Winter 289 Lecture 13 Linear quadratic Lyapunov theory the Lyapunov equation Lyapunov stability conditions the Lyapunov operator and integral evaluating quadratic integrals analysis of ARE discretetime
More informationA Passivity Measure Of Systems In Cascade Based On Passivity Indices
49th IEEE Conference on Decision and Control December 57, Hilton Atlanta Hotel, Atlanta, GA, USA A Passivity Measure Of Systems In Cascade Based On Passivity Indices Han Yu and Panos J Antsaklis Abstract
More informationINPUTTOSTATE STABILITY FOR DISCRETETIME NONLINEAR SYSTEMS
INPUTTOSTATE STABILITY FOR DISCRETETIME NONLINEAR SYSTEMS ZhongPing Jiang Eduardo Sontag,1 Yuan Wang,2 Department of Electrical Engineering, Polytechnic University, Six Metrotech Center, Brooklyn,
More informationRealTime Systems Versus CyberPhysical Systems: Where is the Difference?
RealTime Systems Versus CyberPhysical Systems: Where is the Difference? Samarjit Chakraborty www.rcs.ei.tum.de TU Munich, Germany Joint work with Dip Goswami*, Reinhard Schneider #, Alejandro Masrur
More informationIntroduction to Engineering System Dynamics
CHAPTER 0 Introduction to Engineering System Dynamics 0.1 INTRODUCTION The objective of an engineering analysis of a dynamic system is prediction of its behaviour or performance. Real dynamic systems are
More informationCONTROL SYSTEMS, ROBOTICS AND AUTOMATION Vol. XVI  Fault Accomodation Using Model Predictive Methods  Jovan D. Bošković and Raman K.
FAULT ACCOMMODATION USING MODEL PREDICTIVE METHODS Scientific Systems Company, Inc., Woburn, Massachusetts, USA. Keywords: Fault accommodation, Model Predictive Control (MPC), Failure Detection, Identification
More informationLecture 7: Finding Lyapunov Functions 1
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.243j (Fall 2003): DYNAMICS OF NONLINEAR SYSTEMS by A. Megretski Lecture 7: Finding Lyapunov Functions 1
More informationFormulations of Model Predictive Control. Dipartimento di Elettronica e Informazione
Formulations of Model Predictive Control Riccardo Scattolini Riccardo Scattolini Dipartimento di Elettronica e Informazione Impulse and step response models 2 At the beginning of the 80, the early formulations
More informationLOOP TRANSFER RECOVERY FOR SAMPLEDDATA SYSTEMS 1
LOOP TRANSFER RECOVERY FOR SAMPLEDDATA SYSTEMS 1 Henrik Niemann Jakob Stoustrup Mike Lind Rank Bahram Shafai Dept. of Automation, Technical University of Denmark, Building 326, DK2800 Lyngby, Denmark
More informationUniversità degli Studi di Roma Tor Vergata. Facoltà di Ingegneria
Università degli Studi di Roma Tor Vergata Facoltà di Ingegneria Corso di laurea in ingegneria dell Automazione Tesi di Laurea Magistrale On Quantization in Control Systems: Stabilization of Saturated
More informationitesla Project Innovative Tools for Electrical System Security within Large Areas
itesla Project Innovative Tools for Electrical System Security within Large Areas Samir ISSAD RTE France samir.issad@rtefrance.com PSCC 2014 Panel Session 22/08/2014 Advanced datadriven modeling techniques
More informationNonlinear Systems and Control Lecture # 15 Positive Real Transfer Functions & Connection with Lyapunov Stability. p. 1/?
Nonlinear Systems and Control Lecture # 15 Positive Real Transfer Functions & Connection with Lyapunov Stability p. 1/? p. 2/? Definition: A p p proper rational transfer function matrix G(s) is positive
More informationDynamical Systems Analysis II: Evaluating Stability, Eigenvalues
Dynamical Systems Analysis II: Evaluating Stability, Eigenvalues By Peter Woolf pwoolf@umich.edu) University of Michigan Michigan Chemical Process Dynamics and Controls Open Textbook version 1.0 Creative
More informationFeedback Control RealTime Scheduling: Framework, Modeling, and Algorithms *
Journal of RealTime Systems, Special Issue on ControlTheoretical Approaches to RealTime Computing Feedback Control RealTime Scheduling: Framework, Modeling, and Algorithms * Chenyang Lu John A. Stankovic
More informationChristophe PRIEUR. oct. 2010 sept. 2011 CNRS Associate Researcher at Gipsalab, Grenoble, France
Christophe PRIEUR CNRS Senior Researcher (Directeur de Recherche CNRS) Born on May 14, 1974 at EsseylèsNancy, France Married, three children French Organization: CNRS Laboratory: Gipsalab, Grenoble,
More informationFull day Workshop on Online and offline optimization for humanoid robots. at IEEE IROS 2013 in Tokyo
Full day Workshop on Online and offline optimization for humanoid robots at IEEE IROS 2013 in Tokyo Organizers: Eiichi Yoshida, Katja Mombaur, Tom Erez, Yuval Tassa Nov 7, 2013 TALK ABSTRACTS Tamim Asfour
More informationDimension Theory for Ordinary Differential Equations
Vladimir A. Boichenko, Gennadij A. Leonov, Volker Reitmann Dimension Theory for Ordinary Differential Equations Teubner Contents Singular values, exterior calculus and Lozinskiinorms 15 1 Singular values
More informationLinear Programming. Widget Factory Example. Linear Programming: Standard Form. Widget Factory Example: Continued.
Linear Programming Widget Factory Example Learning Goals. Introduce Linear Programming Problems. Widget Example, Graphical Solution. Basic Theory:, Vertices, Existence of Solutions. Equivalent formulations.
More informationStability Assessment of a Manufacturing Process Using Grey Relationship Theory Based on Two Unsorted Data Series
International Journal of New Technology and Research (IJNTR) ISSN:24544116, Volume2, Issue6, June 2016 Pages 109112 Stability Assessment of a Manufacturing Process Using Grey Relationship Theory Based
More informationLinear Programming I
Linear Programming I November 30, 2003 1 Introduction In the VCR/guns/nuclear bombs/napkins/star wars/professors/butter/mice problem, the benevolent dictator, Bigus Piguinus, of south Antarctica penguins
More informationC21 Model Predictive Control
C21 Model Predictive Control Mark Cannon 4 lectures Hilary Term 2161 Lecture 1 Introduction 12 Organisation 4 lectures: week 3 week 4 { Monday 111 am LR5 Thursday 111 am LR5 { Monday 111 am LR5 Thursday
More informationFrom Control Loops to Software
CNRSVERIMAG Grenoble, France October 2006 Executive Summary Embedded systems realization of control systems by computers Computers are the major medium for realizing controllers There is a gap between
More informationBrief Paper. of discretetime linear systems. www.ietdl.org
Published in IET Control Theory and Applications Received on 28th August 2012 Accepted on 26th October 2012 Brief Paper ISSN 17518644 Temporal and onestep stabilisability and detectability of discretetime
More informationDegrees of Freedom. This suggests a possible definition: degrees of freedom = # variables  # equations. Definition:
To determine the degrees of freedom (the number of variables whose values may be independently specified) in our model we could simply count the number of independent variables (the number of variables
More informationModel Predictive Control Lecture 5
Model Predictive Control Lecture 5 Klaus Trangbæk ktr@es.aau.dk Automation & Control Aalborg University Denmark. http://www.es.aau.dk/staff/ktr/mpckursus/mpckursus.html mpc5 p. 1 Exercise from last time
More informationKalman Filter Applied to a Active Queue Management Problem
IOSR Journal of Electrical and Electronics Engineering (IOSRJEEE) eissn: 22781676,pISSN: 23203331, Volume 9, Issue 4 Ver. III (Jul Aug. 2014), PP 2327 Jyoti Pandey 1 and Prof. Aashih Hiradhar 2 Department
More informationCommunication on the Grassmann Manifold: A Geometric Approach to the Noncoherent MultipleAntenna Channel
IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 2, FEBRUARY 2002 359 Communication on the Grassmann Manifold: A Geometric Approach to the Noncoherent MultipleAntenna Channel Lizhong Zheng, Student
More informationCONTRIBUTIONS TO THE AUTOMATIC CONTROL OF AERIAL VEHICLES
1 / 23 CONTRIBUTIONS TO THE AUTOMATIC CONTROL OF AERIAL VEHICLES MINH DUC HUA 1 1 INRIA Sophia Antipolis, AROBAS team I3SCNRS Sophia Antipolis, CONDOR team Project ANR SCUAV Supervisors: Pascal MORIN,
More informationLecture 8 : Dynamic Stability
Lecture 8 : Dynamic Stability Or what happens to small disturbances about a trim condition 1.0 : Dynamic Stability Static stability refers to the tendency of the aircraft to counter a disturbance. Dynamic
More informationSYSTEMS AND SIGNALS ONLINE QUESTIONS AND GRADING
In proceedings of ETFA 2005, the 10th IEEE International Conference on Emerging Technologies and Factory Automation Catania, Italy, 1922 September 2005, pp. 4147 SYSTEMS AND SIGNALS ONLINE QUESTIONS
More information7. Show that the expectation value function that appears in Lecture 1, namely
Lectures on quantum computation by David Deutsch Lecture 1: The qubit Worked Examples 1. You toss a coin and observe whether it came up heads or tails. (a) Interpret this as a physics experiment that ends
More informationModeling, Analysis, and Control of Dynamic Systems
Modeling, Analysis, and Control of Dynamic Systems Second Edition William J. Palm III University of Rhode Island John Wiley Sons, Inc. New York Chichester Weinheim Brisbane Singapore Toronto To Louise.
More informationLinear Equations ! 25 30 35$ & " 350 150% & " 11,750 12,750 13,750% MATHEMATICS LEARNING SERVICE Centre for Learning and Professional Development
MathsTrack (NOTE Feb 2013: This is the old version of MathsTrack. New books will be created during 2013 and 2014) Topic 4 Module 9 Introduction Systems of to Matrices Linear Equations Income = Tickets!
More informationThe PredatorPrey Equations. x = a x α xy y = c y + γ xy
The PredatorPrey Equations An application of the nonlinear system of differential equations in mathematical biology / ecology: to model the predatorprey relationship of a simple ecosystem. Suppose in
More informationDesignSimulationOptimization Package for a Generic 6DOF Manipulator with a Spherical Wrist
DesignSimulationOptimization Package for a Generic 6DOF Manipulator with a Spherical Wrist MHER GRIGORIAN, TAREK SOBH Department of Computer Science and Engineering, U. of Bridgeport, USA ABSTRACT Robot
More information3.1 State Space Models
31 State Space Models In this section we study state space models of continuoustime linear systems The corresponding results for discretetime systems, obtained via duality with the continuoustime models,
More informationOverview of Missile Flight Control Systems
Overview of Missile Flight Control Systems Paul B. Jackson he flight control system is a key element that allows the missile to meet its system performance requirements. The objective of the flight control
More informationDynamic Eigenvalues for Scalar Linear TimeVarying Systems
Dynamic Eigenvalues for Scalar Linear TimeVarying Systems P. van der Kloet and F.L. Neerhoff Department of Electrical Engineering Delft University of Technology Mekelweg 4 2628 CD Delft The Netherlands
More informationNotes from February 11
Notes from February 11 Math 130 Course web site: www.courses.fas.harvard.edu/5811 Two lemmas Before proving the theorem which was stated at the end of class on February 8, we begin with two lemmas. The
More informationSOLVING A STABILITY PROBLEM BY POLYA S FOUR STEPS
INTERNATIONAL JOURNAL OF ELECTRONICS MECHANICAL AND MECHATRONICS ENGINEERING Volume. Number. pp.(98) SOLVING A STABILITY PROBLEM BY POLYA S FOUR STEPS Cengiz Alacacı Murat Doğruel Bilent University Graduate
More informationECE 516: System Control Engineering
ECE 516: System Control Engineering This course focuses on the analysis and design of systems control. This course will introduce timedomain systems dynamic control fundamentals and their design issues
More informationMapping an Application to a Control Architecture: Specification of the Problem
Mapping an Application to a Control Architecture: Specification of the Problem Mieczyslaw M. Kokar 1, Kevin M. Passino 2, Kenneth Baclawski 1, and Jeffrey E. Smith 3 1 Northeastern University, Boston,
More informationPiecewise Cubic Splines
280 CHAP. 5 CURVE FITTING Piecewise Cubic Splines The fitting of a polynomial curve to a set of data points has applications in CAD (computerassisted design), CAM (computerassisted manufacturing), and
More informationChapter 7 Robust Stabilization and Disturbance Attenuation of Switched Linear ParameterVarying Systems in Discrete Time
Chapter 7 Robust Stabilization and Disturbance Attenuation of Switched Linear ParameterVarying Systems in Discrete Time JiWoong Lee and Geir E. Dullerud Abstract Nonconservative analysis of discretetime
More information19 LINEAR QUADRATIC REGULATOR
19 LINEAR QUADRATIC REGULATOR 19.1 Introduction The simple form of loopshaping in scalar systems does not extend directly to multivariable (MIMO) plants, which are characterized by transfer matrices instead
More informationImprovements on flow/guard intersection for nonlinear hybrid reachability
Improvements on flow/guard intersection for nonlinear hybrid reachability M. Maïga 1,2, N. Ramdani 1, and L. TravéMassuyès 2 1 Université d Orléans, PRISME, 18020 Bourges, France 2 CNRS, LAAS, 31400 Toulouse,
More informationA Simulink Modeling to Develop a Control System of Stirred Tank Heater with Multifarious Operating Conditions
A Simulink Modeling to Develop a Control System of Stirred Tank Heater with Multifarious Operating Conditions Abdur Raquib Ridwan Lecturer Islamic University of Technology, EEE Department Ishtiza Ibne
More informationEssential spectrum of the Cariñena operator
Theoretical Mathematics & Applications, vol.2, no.3, 2012, 3945 ISSN: 17929687 (print), 17929709 (online) Scienpress Ltd, 2012 Essential spectrum of the Cariñena operator Y. Mensah 1 and M.N. Hounkonnou
More informationELECTRICAL ENGINEERING
EE ELECTRICAL ENGINEERING See beginning of Section H for abbreviations, course numbers and coding. The * denotes labs which are held on alternate weeks. A minimum grade of C is required for all prerequisite
More informationArticle received on February 28, 2007; accepted on September 04, 2007
Stability Analysis of ProportionalIntegral AQM Controllers Supporting TCP Flows Análisis de Estabilidad de Controladores AQM ProporcionalIntegral Suportando Flujos TCP División de Matemáticas Aplicadas,
More informationFeedback Control Theory
Feedback Control Theory John Doyle, Bruce Francis, Allen Tannenbaum c Macmillan Publishing Co., 1990 Contents Preface iii 1 Introduction 1 1.1 Issues in Control System Design.............................
More informationSemidefinite characterisation of invariant measures for onedimensional discrete dynamical systems
Semidefinite characterisation of invariant measures for onedimensional discrete dynamical systems Didier Henrion 1,2,3 April 24, 2012 Abstract Using recent results on measure theory and algebraic geometry,
More informationApplied mathematics and mathematical statistics
Applied mathematics and mathematical statistics The graduate school is organised within the Department of Mathematical Sciences.. Deputy head of department: Aila Särkkä Director of Graduate Studies: Marija
More informationMECE 102 Mechatronics Engineering Orientation
MECE 102 Mechatronics Engineering Orientation Mechatronic System Components Associate Prof. Dr. of Mechatronics Engineering Çankaya University Compulsory Course in Mechatronics Engineering Credits (2/0/2)
More informationFACTORING POLYNOMIALS IN THE RING OF FORMAL POWER SERIES OVER Z
FACTORING POLYNOMIALS IN THE RING OF FORMAL POWER SERIES OVER Z DANIEL BIRMAJER, JUAN B GIL, AND MICHAEL WEINER Abstract We consider polynomials with integer coefficients and discuss their factorization
More informationStatistics Graduate Courses
Statistics Graduate Courses STAT 7002Topics in StatisticsBiological/Physical/Mathematics (cr.arr.).organized study of selected topics. Subjects and earnable credit may vary from semester to semester.
More informationTHE PREDICTIVE MODELLING PROCESS
THE PREDICTIVE MODELLING PROCESS Models are used extensively in business and have an important role to play in sound decision making. This paper is intended for people who need to understand the process
More informationAN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS
AN INTRODUCTION TO NUMERICAL METHODS AND ANALYSIS Revised Edition James Epperson Mathematical Reviews BICENTENNIAL 0, 1 8 0 7 z ewiley wu 2007 r71 BICENTENNIAL WILEYINTERSCIENCE A John Wiley & Sons, Inc.,
More informationUsing MATLAB in a Graduate Electrical Engineering Optimal Control Course
Using MATLAB in a Graduate Electrical Engineering Optimal Control Course Asad Azemi Department of Electrical Engineering Penn State University Great Valley Campus Malvern, PA 193551443 Abstract  Control
More informationPositive Feedback and Oscillators
Physics 3330 Experiment #6 Fall 1999 Positive Feedback and Oscillators Purpose In this experiment we will study how spontaneous oscillations may be caused by positive feedback. You will construct an active
More informationOPTIMAL DESIGN OF DISTRIBUTED SENSOR NETWORKS FOR FIELD RECONSTRUCTION
OPTIMAL DESIGN OF DISTRIBUTED SENSOR NETWORKS FOR FIELD RECONSTRUCTION Sérgio Pequito, Stephen Kruzick, Soummya Kar, José M. F. Moura, A. Pedro Aguiar Department of Electrical and Computer Engineering
More informationPID Control. Chapter 10
Chapter PID Control Based on a survey of over eleven thousand controllers in the refining, chemicals and pulp and paper industries, 97% of regulatory controllers utilize PID feedback. Desborough Honeywell,
More informationSimilarity and Diagonalization. Similar Matrices
MATH022 Linear Algebra Brief lecture notes 48 Similarity and Diagonalization Similar Matrices Let A and B be n n matrices. We say that A is similar to B if there is an invertible n n matrix P such that
More informationState Observer Design for a Class of TakagiSugeno DiscreteTime Descriptor Systems
Applied Mathematical Sciences, Vol. 9, 2015, no. 118, 58715885 HIKARI Ltd, www.mhikari.com http://dx.doi.org/10.12988/ams.2015.54288 State Observer Design for a Class of TakagiSugeno DiscreteTime Descriptor
More informationDynamically Managing the Realtime Fabric of a Wireless SensorActuator Network
Dynamically Managing the Realtime Fabric of a Wireless SensorActuator Network Award No: CNS0931195 Duration: Sept. 1 2009  Aug. 31 2012 M.D. Lemmon, Univ. of Notre Dame (PI) S.X. Hu, Univ. of Notre
More informationCARTAN S GENERALIZATION OF LIE S THIRD THEOREM
CARTAN S GENERALIZATION OF LIE S THIRD THEOREM ROBERT L. BRYANT MATHEMATICAL SCIENCES RESEARCH INSTITUTE JUNE 13, 2011 CRM, MONTREAL In many ways, this talk (and much of the work it reports on) owes its
More information2003 2008 Ph.D., Middle East Technical University, Ankara, Grade: High Honours. Ph.D. in Electrical & Electronic Engineering, Control Theory
Reşat Özgür Doruk Curriculum Vitae Personal Date of Birth Oct 22, 1978 Place of Birth Ankara, TURKEY Education 2003 2008 Ph.D., Middle East Technical University, Ankara, Grade: High Honours. Ph.D. in Electrical
More informationGraduate Certificate in Systems Engineering
Graduate Certificate in Systems Engineering Systems Engineering is a multidisciplinary field that aims at integrating the engineering and management functions in the development and creation of a product,
More informationLas Vegas and Monte Carlo Randomized Algorithms for Systems and Control
Las Vegas and Monte Carlo Randomized Algorithms for Systems and Control Roberto Tempo IEIITCNR Politecnico di Torino roberto.tempo@polito.it BasarFest,, Urbana RT 2006 1 CSL UIUC Six months at CSL in
More informationPhD Program in Aerospace Engineering
PhD Program in Aerospace Engineering INTEGRATED PROJECT IN AEROSPACE VEHICLES AND SYSTEMS 1. Summary of the motivation for the Project Aerospace Engineering is a synthesis of advanced technologies: aerodynamics,
More informationController Design in Frequency Domain
ECSE 4440 Control System Engineering Fall 2001 Project 3 Controller Design in Frequency Domain TA 1. Abstract 2. Introduction 3. Controller design in Frequency domain 4. Experiment 5. Colclusion 1. Abstract
More informationResearch Article The General Traveling Wave Solutions of the Fisher Equation with Degree Three
Advances in Mathematical Physics Volume 203, Article ID 65798, 5 pages http://dx.doi.org/0.55/203/65798 Research Article The General Traveling Wave Solutions of the Fisher Equation with Degree Three Wenjun
More informationKalibrierung von Materialparametern und Optimierung eines Elektromotors mit optislang
Kalibrierung von Materialparametern und Optimierung eines Elektromotors mit optislang  Calibration of material parameters and optimization
More informationFeedback Autonomic Provisioning for guaranteeing performance (and reliability.  application to Big Data Systems
Feedback Autonomic Provisioning for guaranteeing performance (and reliability)  application to Big Data Systems Bogdan Robu bogdan.robu@gipsalab.fr HIPEAC  HPES Workshop Amsterdam 1921.01.2015 Context
More informationState Feedback Stabilization with Guaranteed Transient Bounds
State Feedback Stabilization with Guaranteed Transient Bounds D. Hinrichsen, E. Plischke, F. Wirth Zentrum für Technomathematik Universität Bremen 28334 Bremen, Germany Abstract We analyze under which
More informationSpacecraft Dynamics and Control. An Introduction
Brochure More information from http://www.researchandmarkets.com/reports/2328050/ Spacecraft Dynamics and Control. An Introduction Description: Provides the basics of spacecraft orbital dynamics plus attitude
More informationOrthogonal Diagonalization of Symmetric Matrices
MATH10212 Linear Algebra Brief lecture notes 57 Gram Schmidt Process enables us to find an orthogonal basis of a subspace. Let u 1,..., u k be a basis of a subspace V of R n. We begin the process of finding
More informationTechniques of the simplex basis LU factorization update
Techniques of the simplex basis L factorization update Daniela Renata Cantane Electric Engineering and Computation School (FEEC), State niversity of Campinas (NICAMP), São Paulo, Brazil Aurelio Ribeiro
More information26. Determinants I. 1. Prehistory
26. Determinants I 26.1 Prehistory 26.2 Definitions 26.3 Uniqueness and other properties 26.4 Existence Both as a careful review of a more pedestrian viewpoint, and as a transition to a coordinateindependent
More informationElastMan: Autonomic Elasticity Manager for CloudBased KeyValue Stores
ElastMan: Autonomic Elasticity Manager for CloudBased KeyValue Stores Ahmad AlShishtawy KTH Royal Institute of Technology Stockholm, Sweden Doctoral School Day in Cloud Computing LouvainlaNeuve, Belgium,
More informationarxiv:1501.05890v4 [math.oc] 18 Nov 2015
Distributed Control of InverterBased Lossy Microgrids for Power Sharing and Frequency Regulation Under Voltage Constraints arxiv:1501.05890v4 [math.oc] 18 Nov 2015 Abstract ChinYao Chang a and Wei Zhang
More informationAdministrative  Master Syllabus COVER SHEET
Administrative  Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for
More informationTutorial on Using Excel Solver to Analyze SpinLattice Relaxation Time Data
Tutorial on Using Excel Solver to Analyze SpinLattice Relaxation Time Data In the measurement of the SpinLattice Relaxation time T 1, a 180 o pulse is followed after a delay time of t with a 90 o pulse,
More informationIEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 56, NO. 10, OCTOBER 2011 2345
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL 56, NO 10, OCTOBER 2011 2345 Compositional Modeling and Analysis of MultiHop Control Networks Rajeev Alur, Fellow, IEEE, Alessandro D Innocenzo, Karl H Johansson,
More informationLinear Matrix Inequalities in System and Control Theory
Linear Matrix Inequalities in System and Control Theory SIAM Studies in Applied Mathematics This series of monographs focuses on mathematics and its applications to problems of current concern to industry,
More informationDegrees that are not degrees of categoricity
Degrees that are not degrees of categoricity Bernard A. Anderson Department of Mathematics and Physical Sciences Gordon State College banderson@gordonstate.edu www.gordonstate.edu/faculty/banderson Barbara
More informationDisjunction of NonBinary and Numeric Constraint Satisfaction Problems
Disjunction of NonBinary and Numeric Constraint Satisfaction Problems Miguel A. Salido, Federico Barber Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia Camino
More informationElasticity Theory Basics
G22.3033002: Topics in Computer Graphics: Lecture #7 Geometric Modeling New York University Elasticity Theory Basics Lecture #7: 20 October 2003 Lecturer: Denis Zorin Scribe: Adrian Secord, Yotam Gingold
More informationInstituto de Engenharia de Sistemas e Computadores de Coimbra Institute of Systems Engineering and Computers
Instituto de Engenharia de Sistemas e Computadores de Coimbra Institute of Systems Engineering and Computers IESC  Coimbra Carlos Gomes da Silva and Pedro M.R. Carreira Selecting Audit Targets Using Benford
More informationDiscuss the size of the instance for the minimum spanning tree problem.
3.1 Algorithm complexity The algorithms A, B are given. The former has complexity O(n 2 ), the latter O(2 n ), where n is the size of the instance. Let n A 0 be the size of the largest instance that can
More informationDistributionally robust workforce scheduling in call centers with uncertain arrival rates
Distributionally robust workforce scheduling in call centers with uncertain arrival rates S. Liao 1, C. van Delft 2, J.P. Vial 3,4 1 Ecole Centrale, Paris, France 2 HEC. Paris, France 3 Prof. Emeritus,
More informationScicos is a Scilab toolbox included in the Scilab package. The Scicos editor can be opened by the scicos command
7 Getting Started 7.1 Construction of a Simple Diagram Scicos contains a graphical editor that can be used to construct block diagram models of dynamical systems. The blocks can come from various palettes
More informationPolitecnico di Torino. Porto Institutional Repository
Politecnico di Torino Porto Institutional Repository [Proceeding] Multiport network analyzer selfcalibration: a new approach and some interesting results Original Citation: G.L. Madonna, A. Ferrero, U.
More informationLPV model identification for power management of Web service systems Mara Tanelli, Danilo Ardagna, Marco Lovera
LPV model identification for power management of Web service systems Mara Tanelli, Danilo Ardagna, Marco Lovera, Politecnico di Milano {tanelli, ardagna, lovera}@elet.polimi.it Outline 2 Reference scenario:
More informationlaboratory guide 2 DOF Inverted Pendulum Experiment for MATLAB /Simulink Users
laboratory guide 2 DOF Inverted Pendulum Experiment for MATLAB /Simulink Users Developed by: Jacob Apkarian, Ph.D., Quanser Hervé Lacheray, M.A.SC., Quanser Michel Lévis, M.A.SC., Quanser Quanser educational
More information