Linear Matrix Inequalities in System and Control Theory

Linear Matrix Inequalities in System and Control Theory
Author: Stephen Boyd
Publisher: SIAM
Total Pages: 203
Release: 1994-01-01
Genre: Mathematics
ISBN: 9781611970777

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.

Linear Matrix Inequalities in System and Control Theory

Linear Matrix Inequalities in System and Control Theory
Author: Stephen Boyd
Publisher: SIAM
Total Pages: 193
Release: 1994-01-01
Genre: Mathematics
ISBN: 0898714850

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.

Mathematical Methods for Robust and Nonlinear Control

Mathematical Methods for Robust and Nonlinear Control
Author: Matthew C. Turner
Publisher: Springer Science & Business Media
Total Pages: 444
Release: 2007-10-23
Genre: Technology & Engineering
ISBN: 1848000251

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.

Fuzzy Control Systems Design and Analysis

Fuzzy Control Systems Design and Analysis
Author: Kazuo Tanaka
Publisher: John Wiley & Sons
Total Pages: 321
Release: 2004-04-07
Genre: Science
ISBN: 0471465224

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.

Matrix Inequalities

Matrix Inequalities
Author: Xingzhi Zhan
Publisher: Springer Science & Business Media
Total Pages: 138
Release: 2002-07-09
Genre: Mathematics
ISBN: 9783540437987

The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.

A Survey of Matrix Theory and Matrix Inequalities

A Survey of Matrix Theory and Matrix Inequalities
Author: Marvin Marcus
Publisher: Courier Corporation
Total Pages: 196
Release: 1992-01-01
Genre: Mathematics
ISBN: 048667102X

Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.