› › Linear Matrix Inequalities In System And Control Theory

Linear Matrix Inequalities in System and Control Theory

Author : Stephen Boyd

Publisher : SIAM

Page : 203 pages

File Size : 38,25 MB

Release : 1994-01-01

Category : Mathematics

ISBN : 9781611970777

Get eBook

Book Description

In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.



Advances in Linear Matrix Inequality Methods in Control

Author : Laurent El Ghaoui

Publisher : SIAM

Page : 399 pages

File Size : 25,77 MB

Release : 2000-01-01

Category : Mathematics

ISBN : 9780898719833

Get eBook

Book Description

Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control.



Mathematical Methods for Robust and Nonlinear Control

Author : Matthew C. Turner

Publisher : Springer Science & Business Media

Page : 444 pages

File Size : 14,96 MB

Release : 2007-10-23

Category : Technology & Engineering

ISBN : 1848000251

Get eBook

Book Description

The underlying theory on which much modern robust and nonlinear control is based can be difficult to grasp. This volume is a collection of lecture notes presented by experts in advanced control engineering. The book is designed to provide a better grounding in the theory underlying several important areas of control. It is hoped the book will help the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems.



Linear Matrix Inequalities in System and Control Theory

Author : Stephen Boyd

Publisher : SIAM

Page : 193 pages

File Size : 30,56 MB

Release : 1994-01-01

Category : Mathematics

ISBN : 0898714850

Get eBook

Book Description

In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.



Fuzzy Control Systems Design and Analysis

Author : Kazuo Tanaka

Publisher : John Wiley & Sons

Page : 321 pages

File Size : 13,60 MB

Release : 2004-04-07

Category : Science

ISBN : 0471465224

Get eBook

Book Description

A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.



LMIs in Control Systems

Author : Guang-Ren Duan

Publisher : CRC Press

Page : 483 pages

File Size : 47,59 MB

Release : 2013-06-17

Category : Computers

ISBN : 1466583002

Get eBook

Book Description

Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and d



Unsolved Problems in Mathematical Systems and Control Theory

Author : Vincent D. Blondel

Publisher : Princeton University Press

Page : 351 pages

File Size : 42,59 MB

Release : 2009-04-11

Category : Mathematics

ISBN : 1400826152

Get eBook

Book Description

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.



Robust Control of Linear Descriptor Systems

Author : Yu Feng

Publisher : Springer

Page : 148 pages

File Size : 19,1 MB

Release : 2017-03-02

Category : Technology & Engineering

ISBN : 9811036772

Get eBook

Book Description

This book develops original results regarding singular dynamic systems following two different paths. The first consists of generalizing results from classical state-space cases to linear descriptor systems, such as dilated linear matrix inequality (LMI) characterizations for descriptor systems and performance control under regulation constraints. The second is a new path, which considers descriptor systems as a powerful tool for conceiving new control laws, understanding and deciphering some controller’s architecture and even homogenizing different—existing—ways of obtaining some new and/or known results for state-space systems. The book also highlights the comprehensive control problem for descriptor systems as an example of using the descriptor framework in order to transform a non-standard control problem into a classic stabilization control problem. In another section, an accurate solution is derived for the sensitivity constrained linear optimal control also using the descriptor framework. The book is intended for graduate and postgraduate students, as well as researchers in the field of systems and control theory.



Interior-point Polynomial Algorithms in Convex Programming

Author : Yurii Nesterov

Publisher : SIAM

Page : 414 pages

File Size : 11,24 MB

Release : 1994-01-01

Category : Mathematics

ISBN : 9781611970791

Get eBook

Book Description

Specialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice.



Trends in Control

Author : Alberto Isidori

Publisher : Springer Science & Business Media

Page : 424 pages

File Size : 42,40 MB

Release : 2012-12-06

Category : Technology & Engineering

ISBN : 1447130618

Get eBook

Book Description

This book contains the text of the plenary lectures and the mini-courses of the European Control Conference (ECC 95) held in Rome, Italy, September 5-September 8, 1995. In particular, the book includes nine essays in which a selected number of prominent authorities present their views on some of the most recent developments in the theory and practice of control systems design and three self-contained sets of lecture notes. Some of the essays are focused on the topic of robust control. The article by J. Ackermann describes how to robustly control the rotational motions of a vehicle, to the purpose of simplifying the driver's task. The contribution by H. K wakernaak presents a detailed discussion of the requirements that performance and robustness impose on control systems design and of the symmetric roles of sensitivity and complementary sensitivity functions. The article by P. Boulet, B. A. Francis, P. C . Hughes and T. Hong describes an experimental testbed facility, called Daisy, whose dynamics emulate those of a real large flexible space structure and whose purpose is to test advanced identification and control design methods. The article of K. Glover discusses recent advances in uncertain system modeling, analysis and design, with ref erence to a flight control case study that has been test flown. The other essays describe advances in fundamental problems of control theory. The article by V. A. Yakubovich is a survey of certain new infinite horizon linear-quadratic optimization problems. The contribution by A. S.