Robust Control Of Infinite Dimensional Systems

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Robust Control of Infinite Dimensional Systems

Author : Ciprian Foias,Hitay Özbay,Allen Tannenbaum
Publisher : Springer
Page : 221 pages
File Size : 54,8 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 3662161680

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Robust Control of Infinite Dimensional Systems by Ciprian Foias,Hitay Özbay,Allen Tannenbaum Pdf

Since its inception in the early 1980s, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. The purpose of this monograph is to present, in a tutorial fashion, a self contained operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces. Such systems arise for problems modelled by partial differential equations or which have time delays. Besides elucidating the mathematics of H( control, extensive treatment is given to its physical and engineering underpinnings. The techniques given in the book are carefully illustrated by two benchmark problems: an unstable system with a time delay which comes from the control of the X-29, and the control of a Euler-Bernoulli flexible beam with Kelvin-Voigt damping.

Robust Control of Infinite Dimensional Systems

Author : Ciprian Foias,Hitay Özbay,Allen Tannenbaum
Publisher : Springer
Page : 238 pages
File Size : 40,9 Mb
Release : 1995-12
Category : Technology & Engineering
ISBN : UOM:39015037412429

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Robust Control of Infinite Dimensional Systems by Ciprian Foias,Hitay Özbay,Allen Tannenbaum Pdf

Since its inception, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. This monograph presents an operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces.

Robust Control of Linear Systems and Nonlinear Control

Author : M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran
Publisher : Springer Science & Business Media
Page : 657 pages
File Size : 48,6 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781461244844

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Robust Control of Linear Systems and Nonlinear Control by M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran Pdf

This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).

Robust Control of Linear Systems and Nonlinear Control

Author : M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran
Publisher : Springer Science & Business Media
Page : 684 pages
File Size : 47,6 Mb
Release : 1990
Category : Juvenile Nonfiction
ISBN : 0817634703

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Robust Control of Linear Systems and Nonlinear Control by M. A. Kaashoek,J. H. van Schuppen,A. C. M. Ran Pdf

This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).

Stabilization, Optimal and Robust Control

Author : Aziz Belmiloudi
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 41,7 Mb
Release : 2008-08-17
Category : Technology & Engineering
ISBN : 9781848003446

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Stabilization, Optimal and Robust Control by Aziz Belmiloudi Pdf

Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.

Robust Control Theory

Author : Bruce A. Francis,Pramod P. Khargonekar
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461384519

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Robust Control Theory by Bruce A. Francis,Pramod P. Khargonekar Pdf

Robust control originates with the need to cope with systems with modeling uncertainty. There have been several mathematical techniques developed for robust control system analysis. The articles in this volume cover all of the major research directions in the field.

Nonlinear and Robust Control of PDE Systems

Author : Panagiotis D. Christofides
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461201854

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Nonlinear and Robust Control of PDE Systems by Panagiotis D. Christofides Pdf

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.

Robust Systems Theory and Applications

Author : Ricardo S. Sánchez-Peña,Mario Sznaier
Publisher : Wiley-Interscience
Page : 520 pages
File Size : 40,9 Mb
Release : 1998-08-17
Category : Science
ISBN : UOM:39015047112654

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Robust Systems Theory and Applications by Ricardo S. Sánchez-Peña,Mario Sznaier Pdf

Designed as a university textbook, this text on robust systems theory includes problems with every chapter, a solutions manual and Matlab files containing worked examples.

Control and Estimation in Distributed Parameter Systems

Author : H. T. Banks
Publisher : SIAM
Page : 235 pages
File Size : 54,9 Mb
Release : 1992-01-01
Category : Technology & Engineering
ISBN : 9780898712971

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Control and Estimation in Distributed Parameter Systems by H. T. Banks Pdf

A comprehensive and lucid text that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems.

Robust Control of Time-delay Systems

Author : Qing-Chang Zhong
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 40,8 Mb
Release : 2006-05-28
Category : Technology & Engineering
ISBN : 9781846282652

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Robust Control of Time-delay Systems by Qing-Chang Zhong Pdf

Recently, there have been significant developments in robust control of time-delay systems. This volume presents a systematic treatment of robust control for such systems in the frequency domain. The emphasis is on systems with a single input or output delay, although the delay-free part of the plant can be multi-input-multi-output, in which case the delays in different channels should be the same. The author covers the whole range of H-infinity control of time-delay systems: from controller parameterization implementation; from the Nehari problem to the four-block problem; from theoretical developments to practical issues. The major tools used are similarity transformation, the chain-scattering approach and J-spectral factorization. Self-contained, "Robust Control of Time-delay Systems" will interest control theorists and mathematicians working with time-delay systems. Its methodical approach will be of value to graduates studying general robust control theory or its applications in time-delay systems.

Robust Control Design: An Optimal Control Approach

Author : Feng Lin
Publisher : John Wiley & Sons
Page : 378 pages
File Size : 40,7 Mb
Release : 2007-09-27
Category : Science
ISBN : 0470059567

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Robust Control Design: An Optimal Control Approach by Feng Lin Pdf

Comprehensive and accessible guide to the three main approaches to robust control design and its applications Optimal control is a mathematical field that is concerned with control policies that can be deduced using optimization algorithms. The optimal control approach to robust control design differs from conventional direct approaches to robust control that are more commonly discussed by firstly translating the robust control problem into its optimal control counterpart, and then solving the optimal control problem. Robust Control Design: An Optimal Control Approach offers a complete presentation of this approach to robust control design, presenting modern control theory in an concise manner. The other two major approaches to robust control design, the H_infinite approach and the Kharitonov approach, are also covered and described in the simplest terms possible, in order to provide a complete overview of the area. It includes up-to-date research, and offers both theoretical and practical applications that include flexible structures, robotics, and automotive and aircraft control. Robust Control Design: An Optimal Control Approach will be of interest to those needing an introductory textbook on robust control theory, design and applications as well as graduate and postgraduate students involved in systems and control research. Practitioners will also find the applications presented useful when solving practical problems in the engineering field.

An Introduction to Infinite-Dimensional Linear Systems Theory

Author : Ruth F. Curtain,Hans Zwart
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242246

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An Introduction to Infinite-Dimensional Linear Systems Theory by Ruth F. Curtain,Hans Zwart Pdf

Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Author : Thomas Meurer,Knut Graichen,Ernst-Dieter Gilles
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 52,5 Mb
Release : 2005-09-19
Category : Technology & Engineering
ISBN : 3540279385

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Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems by Thomas Meurer,Knut Graichen,Ernst-Dieter Gilles Pdf

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.

Advances in Time-Delay Systems

Author : Silviu-Iulian Niculescu,Keqin Gu
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642184826

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Advances in Time-Delay Systems by Silviu-Iulian Niculescu,Keqin Gu Pdf

In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.

Recent Advances in Robust Control

Author : Andreas Müller
Publisher : BoD – Books on Demand
Page : 412 pages
File Size : 55,7 Mb
Release : 2011-11-21
Category : Science
ISBN : 9789533074214

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Recent Advances in Robust Control by Andreas Müller Pdf

Robust control has been a topic of active research in the last three decades culminating in H_2/H_\infty and \mu design methods followed by research on parametric robustness, initially motivated by Kharitonov's theorem, the extension to non-linear time delay systems, and other more recent methods. The two volumes of Recent Advances in Robust Control give a selective overview of recent theoretical developments and present selected application examples. The volumes comprise 39 contributions covering various theoretical aspects as well as different application areas. The first volume covers selected problems in the theory of robust control and its application to robotic and electromechanical systems. The second volume is dedicated to special topics in robust control and problem specific solutions. Recent Advances in Robust Control will be a valuable reference for those interested in the recent theoretical advances and for researchers working in the broad field of robotics and mechatronics.