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Control And Estimation Of Piecewise Affine Systems

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Control and Estimation of Piecewise Affine Systems

Control and Estimation of Piecewise Affine Systems Book
Author : Jun Xu
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Control and Estimation of Piecewise Affine Systems book written by Jun Xu, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Control and Estimation of Piecewise Affine Systems

Control and Estimation of Piecewise Affine Systems Book
Author : Jun Xu,Lihua Xie
Publisher : Elsevier
Release : 2014-04-21
ISBN : 1782421629
Language : En, Es, Fr & De

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Book Description :

As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view. Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods. Provides new insights on properties of PWA systems, including stability, stabilizability, reachability and controllability Presents a unified framework for analysis and synthesis of both continuous-time and discrete-time PWA systems Presents novel approaches for stability analysis and control design based on the promising SOS techniques

Optimal Control of Constrained Piecewise Affine Systems

Optimal Control of Constrained Piecewise Affine Systems Book
Author : Frank Christophersen
Publisher : Springer
Release : 2007-09-11
ISBN : 3540727019
Language : En, Es, Fr & De

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Book Description :

One of the most important and challenging problems in control is the derivation of systematic tools for the computation of controllers for constrained nonlinear systems that can guarantee closed-loop stability, feasibility, and optimality with respect to some performance index. This book focuses on the efficient and systematic computation of closed-form optimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. These systems may exhibit rather complex behavior and are equivalent to many other hybrid system formalisms (combining continuous-valued dynamics with logic rules) reported in the literature. Furthermore, piecewise affine systems are a useful modeling tool that can capture general nonlinearities (e.g. by local approximation), constraints, saturations, switches, and other hybrid modeling phenomena. The first part of the book presents an introduction to the mathematical and control theoretical background material needed for the full understanding of the book. The second part provides an in depth look at the computational and control theoretic properties of the controllers and part three presents different analysis and post-processing techniques.

Fault Tolerant Control for Bimodal Piecewise Affine Systems

Fault Tolerant Control for Bimodal Piecewise Affine Systems Book
Author : Nastaran Nayebpanah
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Fault Tolerant Control for Bimodal Piecewise Affine Systems book written by Nastaran Nayebpanah, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Piecewise Affine Control Continuous Time Sampled Data and Networked Systems

Piecewise Affine Control  Continuous Time  Sampled Data  and Networked Systems Book
Author : Luis Rodrigues ,Behzad Samadi ,Miad Moarref
Publisher : SIAM
Release : 2019-11-06
ISBN : 1611975905
Language : En, Es, Fr & De

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Book Description :

Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems. They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications. Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry. It is also appropriate for engineers working on applications where switched linear and affine models are important.

Piecewise Linear Control Systems

Piecewise Linear Control Systems Book
Author : Mikael K.-J. Johansson
Publisher : Springer
Release : 2003-07-01
ISBN : 3540368019
Language : En, Es, Fr & De

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Book Description :

2. Piecewise Linear Modeling . . . . . . . . . . . . . . . . . . . . . 9 2. 1 Model Representation . . . . . . . . . . . . . . . . . . . . . 9 2. 2 Solution Concepts . . . . . . . . . . . . . . . . . . . . . . . 2. 3 Uncertainty Models . . . . . . . . . . . . . . . . . . . . . . 2. 4 Modularity and Interconnections . . . . . . . . . . . . . . 26 2. 5 Piecewise Linear Function Representations . . . . . . . . . 28 2. 6 Comments and References . . . . . . . . . . . . . . . . . . 30 3. Structural Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 1 Equilibrium Points and the Steady State Characteristic . . 32 3. 2 Constraint Verification and Invariance . . . . . . . . . . . 35 3. 3 Detecting Attractive Sliding Modes on Cell Boundaries 37 3. 4 Comments and References . . . . . . . . . . . . . . . . . . 39 4. Lyapunov Stability . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4. 1 Exponential Stability . . . . . . . . . . . . . . . . . . . . . . 41 4. 2 Quadratic Stability . . . . . . . . . . . . . . . . . . . . . . . 42 4. 3 Conservatism of Quadratic Stability . . . . . . . . . . . . . 46 4. 4 From Quadratic to Piecewise Quadratic . . . . . . . . . . . 48 4. 5 Interlude: Describing Partition Properties . . . . . . . . . 51 4. 6 Piecewise Quadratic Lyapunov Functions . . . . . . . . . 55 4. 7 Analysis of Piecewise Linear Differential Inclusions . . . . 61 4. 8 Analysis of Systems with Attractive Sliding Modes . . . . 63 4. 9 Improving Computational Efficiency . . . . . . . . . . . . 66 4. 10 Piecewise Linear Lyapunov Functions . . . . . . . . . . . 72 4. 11 A Unifying View . . . . . . . . . . . . . . . . . . . . . . . . 77 4. 12 Comments and References . . . . . . . . . . . . . . . . . . 82 5. Dissipativity Analysis . . . . . . . . . . . . . . . . . . . . . . . . 85 5. 1 Dissipativity Analysis via Convex Optimization . . . . . . 86 21 14 Contents Contents 5. 2 Computation of £2 induced Gain . . . . . . . . . . . . . . 88 5. 3 Estimation of Transient Energy . . . . . . . . . . . . . . . . 89 5. 4 Dissipative Systems with Quadratic Supply Rates . . . . . 91 5. 5 Comments and References . . . . . . . . . . . . . . . . . . 95 Controller Design . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 6. 1 Quadratic Stabilization of Piecewise Linear" Systems . . . 97 6. 2 Controller Synthesis based on Piecewise Quadratics . . . 98 6. 3 Comments and References . . . . . . . . . . . . . . . . . . 105 7. Selected Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7. 1 Estimation of Regions of Attraction . . . . . . . . . . . . .

H infinity Control and Estimation of State multiplicative Linear Systems

H infinity Control and Estimation of State multiplicative Linear Systems Book
Author : Eli Gershon,Uri Shaked,Isaac Yaesh
Publisher : Springer Science & Business Media
Release : 2005-06-24
ISBN : 9781852339975
Language : En, Es, Fr & De

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Book Description :

Multiplicative noise appears in systems where the process or measurement noise levels depend on the system state vector. Such systems are relevant, for example, in radar measurements where larger ranges involve higher noise level. This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions. Topics covered include: convex H2 and H-infinity norms analysis of systems with multiplicative noise; state feedback control and state estimation of systems with multiplicative noise; dynamic and static output feedback of stochastic bilinear systems; tracking controllers for stochastic bilinear systems utilizing preview information. Various examples which demonstrate the applicability of the theory to practical control engineering problems are considered; two such examples are taken from the aerospace and guidance control areas.

Hybrid Systems Computation and Control

Hybrid Systems  Computation and Control Book
Author : Maria D. Di Benedetto,Alberto Sangiovanni-Vincentelli
Publisher : Springer Science & Business Media
Release : 2001-03-14
ISBN : 3540418660
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings of the Fourth Workshop on Hybrid - stems: Computation and Control (HSCC 2001) held in Rome, Italy on March 28-30, 2001. The Workshop on Hybrid Systems attracts researchers from in- stry and academia interested in modeling, analysis, synthesis, and implemen- tion of dynamic and reactive systems involving both discrete (integer, logical, symbolic) and continuous behaviors. It is a forum for the discussion of the - test developments in all aspects of hybrid systems, including formal models and computational representations, algorithms and heuristics, computational tools, and new challenging applications. The Fourth HSCC International Workshop continues the series of workshops held in Grenoble, France (HART’97), Berkeley, California, USA (HSCC’98), N- megen, The Netherlands (HSCC’99), and Pittsburgh, Pennsylvania, USA (HSCC 2000). Proceedings of these workshops have been published in the Lecture Notes in Computer Science (LNCS) series by Springer-Verlag. In line with the beautiful work that led to the design of the palace in which the workshop was held, Palazzo Lancellotti in Rome, resulting from the col- boration of many artists and architects of di erent backgrounds, the challenge faced by the hybrid system community is to harmonize and extract the best from two main research areas: computer science and control theory.

Constrained Control and Estimation

Constrained Control and Estimation Book
Author : Graham Goodwin,María M. Seron,José A. de Doná
Publisher : Springer Science & Business Media
Release : 2006-03-30
ISBN : 184628063X
Language : En, Es, Fr & De

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Book Description :

Recent developments in constrained control and estimation have created a need for this comprehensive introduction to the underlying fundamental principles. These advances have significantly broadened the realm of application of constrained control. - Using the principal tools of prediction and optimisation, examples of how to deal with constraints are given, placing emphasis on model predictive control. - New results combine a number of methods in a unique way, enabling you to build on your background in estimation theory, linear control, stability theory and state-space methods. - Companion web site, continually updated by the authors. Easy to read and at the same time containing a high level of technical detail, this self-contained, new approach to methods for constrained control in design will give you a full understanding of the subject.

Hybrid Systems Computation and Control

Hybrid Systems  Computation and Control Book
Author : Magnus Egerstedt,Bud Mishra
Publisher : Springer
Release : 2008-07-18
ISBN : 3540789294
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings ofthe 11th Workshop on Hybrid Systems: Computation and Control (HSCC 2008) held in St. Louis, Missouriduring April 22–24,2008.The annual workshop on hybrid systems focuses on researchin - bedded,reactivesystemsinvolvingtheinterplaybetweensymbolic/switchingand continuous dynamical behaviors. HSCC attracts academic as well as industrial researchers to exchange information on the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems. New for this year was that HSCC was part of the inaugural CPSWEEK (Cyber-Physical Systems Week) – a co-located cluster of three conferences: HSCC, RTAS (Real-Time and Embedded Technology and Applications Sym- sium), and IPSN (International Conference on Information Processing in Sensor Networks). The previous workshops in the series of HSCC were held in Berkeley, USA (1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome,Italy (2001), Palo Alto, USA (2002), Prague, Czech Republic (2003), Philadelphia, USA (2004),Zurich, Switzerland (2005) , Santa Barbara,USA (2006), and Pisa, Italy (2007). We would like to thank the Program Committee members and the reviewers for an excellent job of evaluating the submissions and participating in the online Program Committee discussions. We are grateful to the Steering Committee for their helpful guidance and support. We would also like to thank Patrick Martin for putting together these proceedings, and Jiuguang Wang for developing and maintaining the HSCC 2008 website. January 2008 Magnus Egerstedt Bud Mishra Organization HSCC 2008 was technically co-sponsored by the IEEE Control Systems Society and organized in cooperation with ACM/SIGBED.

Optimal Control and Estimation

Optimal Control and Estimation Book
Author : Robert F. Stengel
Publisher : Courier Corporation
Release : 2012-10-16
ISBN : 0486134814
Language : En, Es, Fr & De

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Book Description :

Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems Book
Author : Thomas Meurer,Knut Graichen,Ernst-Dieter Gilles
Publisher : Springer Science & Business Media
Release : 2005-09-19
ISBN : 9783540279389
Language : En, Es, Fr & De

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Book Description :

This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bio–) chemical engineering, and fluid dynamics. The unique combination of results of finite as well as infinite–dimensional systems makes this book a remarkable contribution addressing postgraduates, researchers, and engineers both at universities and in industry. The contributions to this book were presented at the Symposium on Nonlinear Control and Observer Design: From Theory to Applications (SYNCOD), held September 15–16, 2005, at the University of Stuttgart, Germany. The conference and this book are dedicated to the 65th birthday of Prof. Dr.–Ing. Dr.h.c. Michael Zeitz to honor his life – long research and contributions on the fields of nonlinear control and observer design.

Stable Adaptive Control and Estimation for Nonlinear Systems

Stable Adaptive Control and Estimation for Nonlinear Systems Book
Author : Jeffrey T. Spooner,Manfredi Maggiore,Raúl Ordóñez,Kevin M. Passino
Publisher : John Wiley & Sons
Release : 2004-04-07
ISBN : 0471460974
Language : En, Es, Fr & De

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Book Description :

Includes a solution manual for problems. Provides MATLAB code for examples and solutions. Deals with robust systems in both theory and practice.

Hybrid Systems Computation and Control

Hybrid Systems  Computation and Control Book
Author : Alberto Bemporad
Publisher : Springer Science & Business Media
Release : 2007-03-20
ISBN : 3540714928
Language : En, Es, Fr & De

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Book Description :

This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. The 44 revised full papers and 39 revised short papers presented together with the abstracts of 3 keynote talks were carefully reviewed and selected from 167 submissions. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, tools for analysis, verification, control, and design, programming languages support and implementation, applications, including automotive, communication networks, avionics, energy systems, transportation networks, biology and other sciences, manufacturing, and robotics.

Nonlinear Industrial Control Systems

Nonlinear Industrial Control Systems Book
Author : Michael J. Grimble,Paweł Majecki
Publisher : Springer Nature
Release : 2020-05-19
ISBN : 1447174577
Language : En, Es, Fr & De

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Book Description :

Nonlinear Industrial Control Systems presents a range of mostly optimisation-based methods for severely nonlinear systems; it discusses feedforward and feedback control and tracking control systems design. The plant models and design algorithms are provided in a MATLAB® toolbox that enable both academic examples and industrial application studies to be repeated and evaluated, taking into account practical application and implementation problems. The text makes nonlinear control theory accessible to readers having only a background in linear systems, and concentrates on real applications of nonlinear control. It covers: different ways of modelling nonlinear systems including state space, polynomial-based, linear parameter varying, state-dependent and hybrid; design techniques for nonlinear optimal control including generalised-minimum-variance, model predictive control, quadratic-Gaussian, factorised and H∞ design methods; design philosophies that are suitable for aerospace, automotive, marine, process-control, energy systems, robotics, servo systems and manufacturing; steps in design procedures that are illustrated in design studies to define cost-functions and cope with problems such as disturbance rejection, uncertainties and integral wind-up; and baseline non-optimal control techniques such as nonlinear Smith predictors, feedback linearization, sliding mode control and nonlinear PID. Nonlinear Industrial Control Systems is valuable to engineers in industry dealing with actual nonlinear systems. It provides students with a comprehensive range of techniques and examples for solving real nonlinear control design problems.

Optimal Linear Controller Design for Periodic Inputs

Optimal Linear Controller Design for Periodic Inputs Book
Author : Goele Pipeleers,Bram Demeulenaere,Jan Swevers
Publisher : Springer
Release : 2009-12-07
ISBN : 1848829752
Language : En, Es, Fr & De

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Book Description :

Optimal Linear Controller Design for Periodic Inputs proposes a general design methodology for linear controllers facing periodic inputs which applies to all feedforward control, estimated disturbance feedback control, repetitive control and feedback control. The design methodology proposed is able to reproduce and outperform the major current design approaches, where this superior performance stems from the following properties: uncertainty on the input period is explicitly accounted for, periodic performance being traded-off against conflicting design objectives and controller design being translated into a convex optimization problem, guaranteeing the efficient computation of its global optimum. The potential of the design methodology is illustrated by both numerical and experimental results.

Robust Control for Uncertain Networked Control Systems with Random Delays

Robust Control for Uncertain Networked Control Systems with Random Delays Book
Author : Dan Huang,Sing Kiong Nguang
Publisher : Springer Science & Business Media
Release : 2009-07-06
ISBN : 1848826788
Language : En, Es, Fr & De

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Book Description :

"Robust Control for Uncertain Networked Control Systems with Random Delays" addresses the problem of analysis and design of networked control systems when the communication delays are varying in a random fashion. The random nature of the time delays is typical for commercially used networks, such as a DeviceNet (which is a controller area network) and Ethernet network. The main technique used in this book is based on the Lyapunov-Razumikhin method, which results in delay-dependent controllers. The existence of such controllers and fault estimators are given in terms of the solvability of bilinear matrix inequalities. Iterative algorithms are proposed to change this non-convex problem into quasi-convex optimization problems, which can be solved effectively by available mathematical tools. Finally, to demonstrate the effectiveness and advantages of the proposed design method in the book, numerical examples are given in each designed control system.

Handbook of Hybrid Systems Control

Handbook of Hybrid Systems Control Book
Author : Jan Lunze,Françoise Lamnabhi-Lagarrigue
Publisher : Cambridge University Press
Release : 2009-10-15
ISBN : 0521765056
Language : En, Es, Fr & De

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Book Description :

Setting out core theory and reviewing a range of new methods, theoretical problems and applications, this handbook shows how hybrid dynamical systems can be modelled and understood. Sixty expert authors involved in the recent research activities and industrial application studies provide practical insights on topics ranging from the theoretical investigations over computer-aided design to applications in energy management and the process industry. Structured into three parts, the book opens with a thorough introduction to hybrid systems theory, illustrating new dynamical phenomena through numerous examples. Part II then provides a survey of key tools and tool integration activities. Finally, Part III is dedicated to applications, implementation issues and system integration, considering different domains such as industrial control, automotive systems and digital networks. Three running examples are referred to throughout the book, together with numerous illustrations, helping both researchers and industry professionals to understand complex theory, recognise problems and find appropriate solutions.

Emergent Problems in Nonlinear Systems and Control

Emergent Problems in Nonlinear Systems and Control Book
Author : Bijoy Ghosh,Clyde F. Martin,Yishao Zhou
Publisher : Springer
Release : 2009-10-13
ISBN : 3642036279
Language : En, Es, Fr & De

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Book Description :

Papers in this collection partly represent the set of talks that were presented at Texas Tech University on the occasion of Daya’s memorial workshop in the year 2007. Daya had a varied interest in the field of Dynamics and Control Theory and the papers bring out the essence of his involvement in these activities. He also had a large number of collaborators and this collection represent a good fraction of them. The papers included here cover his interest in control theory. Also included are papers from application areas that we believe are of strong interest to him.

Adaptive Backstepping Control of Uncertain Systems

Adaptive Backstepping Control of Uncertain Systems Book
Author : Jing Zhou,Changyun Wen
Publisher : Springer Science & Business Media
Release : 2008-02-07
ISBN : 3540778063
Language : En, Es, Fr & De

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Book Description :

This book employs the powerful and popular adaptive backstepping control technology to design controllers for dynamic uncertain systems with non-smooth nonlinearities. Various cases including systems with time-varying parameters, multi-inputs and multi-outputs, backlash, dead-zone, hysteresis and saturation are considered in design and analysis. For multi-inputs and multi-outputs systems, both centralized and decentralized controls are addressed. This book not only presents recent research results including theoretical success and practical development such as the proof of system stability and the improvement of system tracking and transient performance, but also gives self-contained coverage of fundamentals on the backstepping approach illustrated with simple examples. Detail description of methodologies for the construction of adaptive laws, feedback control laws and associated Lyapunov functions is systematically provided in each case. Approaches used for the analysis of system stability and tracking and transient performances are elaborated. Two case studies are presented to show how the presented theories are applied.