Mathematical Methods for Robust and Nonlinear Control

by Matthew C. Turner
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
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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.

Robust Nonlinear Control Design

by Randy A. Freeman
Robust Nonlinear Control Design
Author: Randy A. Freeman
Publisher: Springer Science & Business Media
Total Pages: 268
Release: 2009-05-21
Genre: Science
ISBN: 0817647597
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This softcover book summarizes Lyapunov design techniques for nonlinear systems and raises important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here.

Nonlinear and Robust Control of PDE Systems

by Panagiotis D. Christofides
Nonlinear and Robust Control of PDE Systems
Author: Panagiotis D. Christofides
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2012-12-06
Genre: Science
ISBN: 1461201853
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The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues.

A Course in Robust Control Theory

by Geir E. Dullerud
A Course in Robust Control Theory
Author: Geir E. Dullerud
Publisher: Springer Science & Business Media
Total Pages: 427
Release: 2013-03-14
Genre: Technology & Engineering
ISBN: 1475732902
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During the 90s robust control theory has seen major advances and achieved a new maturity, centered around the notion of convexity. The goal of this book is to give a graduate-level course on this theory that emphasizes these new developments, but at the same time conveys the main principles and ubiquitous tools at the heart of the subject. Its pedagogical objectives are to introduce a coherent and unified framework for studying the theory, to provide students with the control-theoretic background required to read and contribute to the research literature, and to present the main ideas and demonstrations of the major results. The book will be of value to mathematical researchers and computer scientists, graduate students planning to do research in the area, and engineering practitioners requiring advanced control techniques.

Differential Neural Networks for Robust Nonlinear Control

by Alexander S. Poznyak
Differential Neural Networks for Robust Nonlinear Control
Author: Alexander S. Poznyak
Publisher: World Scientific
Total Pages: 455
Release: 2001
Genre: Computers
ISBN: 9810246242
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This book deals with continuous time dynamic neural networks theory applied to the solution of basic problems in robust control theory, including identification, state space estimation (based on neuro-observers) and trajectory tracking. The plants to be identified and controlled are assumed to be a priori unknown but belonging to a given class containing internal unmodelled dynamics and external perturbations as well. The error stability analysis and the corresponding error bounds for different problems are presented. The effectiveness of the suggested approach is illustrated by its application to various controlled physical systems (robotic, chaotic, chemical, etc.).

Applied Nonlinear Control

by Jean-Jacques E. Slotine
Applied Nonlinear Control
Author: Jean-Jacques E. Slotine
Publisher:
Total Pages: 461
Release: 1991
Genre: Automatic control
ISBN: 9780130400499
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In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.

Nonlinear Control of Engineering Systems

by Warren E. Dixon
Nonlinear Control of Engineering Systems
Author: Warren E. Dixon
Publisher: Springer Science & Business Media
Total Pages: 410
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 1461200318
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This practical yet rigorous book provides a development of nonlinear, Lyapunov-based tools and their use in the solution of control-theoretic problems. Rich in motivating examples and new design techniques, the text balances theoretical foundations and real-world implementation.

Nonlinear Dynamical Systems and Control

by Wassim M. Haddad
Nonlinear Dynamical Systems and Control
Author: Wassim M. Haddad
Publisher: Princeton University Press
Total Pages: 975
Release: 2011-09-19
Genre: Mathematics
ISBN: 1400841046
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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Nonlinear Control Systems

by Alberto Isidori
Nonlinear Control Systems
Author: Alberto Isidori
Publisher: Springer Science & Business Media
Total Pages: 557
Release: 2013-04-17
Genre: Technology & Engineering
ISBN: 1846286158
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The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.