Robust Control Of Infinite Dimensional Systems
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Robust Control Of Infinite Dimensional Systems
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Author : Ciprian Foias
language : en
Publisher: Springer
Release Date : 2014-03-12
Robust Control Of Infinite Dimensional Systems written by Ciprian Foias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Technology & Engineering categories.
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 Linear Systems And Nonlinear Control
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Author : M. A. Kaashoek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Robust Control Of Linear Systems And Nonlinear Control written by M. A. Kaashoek 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 2013-03-07 with Social Science categories.
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).
Nonlinear And Robust Control Of Pde Systems
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Author : Panagiotis D. Christofides
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear And Robust Control Of Pde Systems written by Panagiotis D. Christofides 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 2012-12-06 with Science categories.
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 Control Systems
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Author : Uwe Mackenroth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Robust Control Systems written by Uwe Mackenroth 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 2013-04-17 with Mathematics categories.
"Robust Control Systems" gives a self-contained introduction to modern Control Theory. It thus adds a textbook to the existing research-oriented literature on Robust Control. The author lays emphasis on the modern aspects of the design of controllers with prescribed performance and robustness properties. Different to the classical engineering approach, a rigorous mathematical treatment is essential for the full understanding and applicability of the modern methods such as H2 or H8 control or methods based on the structured singular value μ. Nevertheless, no prior knowledge of Control Theory is required as the classical fundamentals are introduced within the first few chapters. Subsequently a large part of the text provides elementary examples and industrial case studies, which are developed in full detail to show how modern methods can be applied to advanced problems. They make intensive use of MATLAB, especially the Control Systems Toolbox and the μ-Analysis and Synthesis Toolbox.
On Robust Control Designs For Infinite Dimensional Systems
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Author : Wing Hong Ricky Lee
language : en
Publisher:
Release Date : 1986
On Robust Control Designs For Infinite Dimensional Systems written by Wing Hong Ricky Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
This thesis deals with the robustness of stability of distributed, linear-time-invariant (DLTI) feedback control systems. The main goal is to formulate a practical method for evaluating feedback designs based on the actual DLTI system characteristics. As a result, a design procedure can be developed for DLTI systems to synthesize feedback controllers that are guaranteed to be closed-loop stable. We have developed a robustness characterization for DLTI systems, and have shown that linear quadratic (LQ) optimal control systems have nice robustness properties and can serve as good reference designs for the actual implementation of the feedback controller. We have studied in detail linear hereditary differential systems and a vibration suppression problem for a flexible beam. We stress the study of implementable controllers, which are finite dimensional, in contrast to optimal controllers that are typically infinite-dimensional. However, one can integrate our multivariable robustness results with the LQ optimal control to derive a finite-dimensional suboptimal control law which is closed-loop stable. We show how this can be done by using spatially-sampled measurements along the flexible beam.
Robust Control Of Time Delay Systems
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Author : Qing-Chang Zhong
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28
Robust Control Of Time Delay Systems written by Qing-Chang Zhong 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 2006-05-28 with Technology & Engineering categories.
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.
Control And Estimation In Distributed Parameter Systems
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Author : H. T. Banks
language : en
Publisher: SIAM
Release Date : 1992-01-01
Control And Estimation In Distributed Parameter Systems written by H. T. Banks and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Technology & Engineering categories.
A comprehensive and lucid text that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems.
Robust Control
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Author : Andrzej Bartoszewicz
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-04-11
Robust Control written by Andrzej Bartoszewicz and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with Science categories.
The main objective of this monograph is to present a broad range of well worked out, recent theoretical and application studies in the field of robust control system analysis and design. The contributions presented here include but are not limited to robust PID, H-infinity, sliding mode, fault tolerant, fuzzy and QFT based control systems. They advance the current progress in the field, and motivate and encourage new ideas and solutions in the robust control area.
Nonlinear And Robust Control Of Pde Systems
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Author : Panagiotis D. Christofides
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-25
Nonlinear And Robust Control Of Pde Systems written by Panagiotis D. Christofides 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 2001-01-25 with Science categories.
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.
Variable Structure Systems Towards The 21st Century
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Author : Xinghuo Yu
language : en
Publisher: Springer
Release Date : 2003-07-01
Variable Structure Systems Towards The 21st Century written by Xinghuo Yu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
The book is a collection of contributions concerning the theories, applications and perspectives of Variable Structure Systems (VSS). Variable Structure Systems have been a major control design methodology for many decades. The term Variable Structure Systems was introduced in the late 1950’s, and the fundamental concepts were developed for its main branch Sliding Mode Control by Russian researchers Emelyanov and Utkin. The 20th Century has seen the formation and consolidation of VSS theory and its applications. It has also seen an emerging trend of cross-fertilization and integration of VSS with other control and non-control techniques such as feedback linearization, ?atness, passivity based control, adaptive and learning ? control, system identi?cation, pulse width modulation, H geometric and algebraic methods, arti?cial intelligence, modeling and optimization, neural networks, fuzzy logic, to name just a few. This trend will continue and ?ourish in the new millennium. To re?ect these major developments in the 20th Century, this book - cludes 16 specially invited contributions from well-known experts in VSS theory and applications, covering a wide range of topics. The ?rst chapter, “First Stage of VSS: People and Events” written by Vadim Utkin, the founder of VSS, oversees and documents the historical developments of VSS in the 20th Century, including many interesting events not known to the West until now. The second chapter, “An Integrated Learning Variable Structure Control Method” written by Jian-Xin Xu, addresses an important issue regarding control integration between variable structure control and learning control.