Optimal Control And Analysis For Constrained Piecewise Affine Systems
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Optimal Control Of Constrained Piecewise Affine Systems
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Author : Frank Christophersen
language : en
Publisher: Springer
Release Date : 2007-09-11
Optimal Control Of Constrained Piecewise Affine Systems written by Frank Christophersen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-11 with Technology & Engineering categories.
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.
Optimal Control And Analysis For Constrained Piecewise Affine Systems
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Author : Frank J. Christophersen
language : en
Publisher:
Release Date : 2006
Optimal Control And Analysis For Constrained Piecewise Affine Systems written by Frank J. Christophersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Optimal Control Of Constrained Piecewise Affine Systems
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Author : Frank Christophersen
language : en
Publisher: Springer
Release Date : 2009-09-02
Optimal Control Of Constrained Piecewise Affine Systems written by Frank Christophersen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Technology & Engineering categories.
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.
Constrained Optimal Control Of Linear And Hybrid Systems
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Author : Francesco Borrelli
language : en
Publisher: Springer
Release Date : 2003-09-04
Constrained Optimal Control Of Linear And Hybrid Systems written by Francesco Borrelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-04 with Mathematics categories.
Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.
Piecewise Affine Control Continuous Time Sampled Data And Networked Systems
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Author : Luis Rodrigues
language : en
Publisher: SIAM
Release Date : 2019-11-06
Piecewise Affine Control Continuous Time Sampled Data And Networked Systems written by Luis Rodrigues and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Mathematics categories.
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.
Control And Estimation Of Piecewise Affine Systems
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Author : Jun Xu
language : en
Publisher: Elsevier
Release Date : 2014-04-21
Control And Estimation Of Piecewise Affine Systems written by Jun Xu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-21 with Technology & Engineering categories.
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
Predictive Control For Linear And Hybrid Systems
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Author : Francesco Borrelli
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-22
Predictive Control For Linear And Hybrid Systems written by Francesco Borrelli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-22 with Mathematics categories.
With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).
Numerical Analysis And Its Applications
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Author : Svetozar Margenov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-09
Numerical Analysis And Its Applications written by Svetozar Margenov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.
Nonlinear Observers And Applications
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Author : Gildas Besançon
language : en
Publisher: Springer
Release Date : 2007-10-11
Nonlinear Observers And Applications written by Gildas Besançon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-11 with Technology & Engineering categories.
The purpose of this fantastically useful book is to lay out an overview on possible tools for state reconstruction in nonlinear systems. Here, basic observability notions and observer structures are recalled, together with ingredients for advanced designs on this basis. The problem of state reconstruction in dynamical systems, known as observer problem, is crucial for controlling or even merely monitoring processes. For linear systems, the theory has been well established for several years, so this book attempts to tackle the problem for non-linear systems.
Recent Progress In Robotics Viable Robotic Service To Human
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Author : Sukhan Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-14
Recent Progress In Robotics Viable Robotic Service To Human written by Sukhan Lee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-14 with Language Arts & Disciplines categories.
th This volume is an edition of the papers selected from the 13 International Conference on Advanced Robotics, ICAR 2007, held in Jeju, Korea, August 22-25, 2007, with the theme: “Viable Robotics Service to Human. ” It is intended to deliver readers the most recent technical progress in robotics, in particular, toward the advancement of robotic service to human. To ensure its quality, this volume took only 28 papers out of the 214 papers accepted for publication for ICAR 2007. The selection was based mainly on the technical merit, but also took into consideration whether the subject represents a theme of current interest. For the final inclusion, authors of the selected papers were requested for another round of revision and expansion. In this volume, we organize the 28 contributions into three chapters. Chapter 1 covers Novel Mechanisms, Chapter 2 deals with perception guided navigation and manipulation, and Chapter 3 addresses human-robot interaction and intelligence. Chapters 1, 2 and 3 consist of 7, 13 and 8 contributions, respectively. For the sake of clarity, Chapter 2 is divided further into two parts with Part 1 for Perception Guided Navigation and Part 2 for Perception Guided Manipulation. Chapter 3 is also divided into two parts with Part 1 for Human- Robot Interaction and Part 2 for Intelligence. For the convenience of readers, a ch- ter summary is introduced as an overview in the beginning of each chapter. The chapter summaries were prepared by Dr. Munsang Kim for Chapter 1, Prof.