H∞ Control and Its Applications

H∞ Control and Its Applications PDF

Author: Ben M. Chen

Publisher: Springer

Published: 2013-11-09

Total Pages: 356

ISBN-13: 1846285291

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H... control theory is a subject that deals with the minimisation of the H... norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. H... Control and Its Applications examines both the theoretical and practical aspects of H... control from the angle of the structural properties of linear systems. Constructive algorithms for finding solutions to general singular H... control problems are presented, as well as solutions to general H... almost disturbance decoupling problems, and the applications of the theory to real-life problems with actual implementations is also presented. The book deals with all such issues for general continuous - and discrete-time systems. The book can be used in graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It is also invaluable for practising engineers in industry.

Advanced H∞ Control

Advanced H∞ Control PDF

Author: Yury V. Orlov

Publisher: Springer Science & Business Media

Published: 2014-02-20

Total Pages: 222

ISBN-13: 149390292X

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This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H∞ approach in the nonsmooth setting. Similar to the standard nonlinear H∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements. Advanced H∞ Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton–Jacobi–Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues. Requiring familiarity with nonlinear systems theory, this book will be accessible to g raduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.

Robust and H_ Control

Robust and H_ Control PDF

Author: Ben M. Chen

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 451

ISBN-13: 1447136535

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H-infinity control theory deals with the minimization of the H-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. This comprehensive book examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

A State Space Approach to Canonical Factorization with Applications

A State Space Approach to Canonical Factorization with Applications PDF

Author: Harm Bart

Publisher: Springer Science & Business Media

Published: 2011-02-09

Total Pages: 419

ISBN-13: 376438753X

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The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.

Multi-Objective Optimization System Designs and Their Applications

Multi-Objective Optimization System Designs and Their Applications PDF

Author: Bor-Sen Chen

Publisher: CRC Press

Published: 2023-12-05

Total Pages: 292

ISBN-13: 1000999521

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This book introduces multi-objective design methods to solve multi-objective optimization problems (MOPs) of linear/nonlinear dynamic systems under intrinsic random fluctuation and external disturbance. The MOPs of multiple targets for systems are all transformed into equivalent linear matrix inequality (LMI)-constrained MOPs. Corresponding reverse-order LMI-constrained multi-objective evolution algorithms are introduced to solve LMI-constrained MOPs using MATLAB®. All proposed design methods are based on rigorous theoretical results, and their applications are focused on more practical engineering design examples. Features: Discusses multi-objective optimization from an engineer’s perspective. Contains the theoretical design methods of multi-objective optimization schemes. Includes a wide spectrum of recent research topics in control design, especially for stochastic mean field diffusion problems. Covers practical applications in each chapter, like missile guidance design, economic and financial systems, power control tracking, minimization design in communication, and so forth. Explores practical multi-objective optimization design examples in control, signal processing, communication, and cyber-financial systems. This book is aimed at researchers and graduate students in electrical engineering, control design, and optimization.

Continuous-time Stochastic Control and Optimization with Financial Applications

Continuous-time Stochastic Control and Optimization with Financial Applications PDF

Author: Huyên Pham

Publisher: Springer Science & Business Media

Published: 2009-05-28

Total Pages: 243

ISBN-13: 3540895000

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Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.

New Trends in Nonlinear Dynamics and Control, and their Applications

New Trends in Nonlinear Dynamics and Control, and their Applications PDF

Author: Wei Kang

Publisher: Springer Science & Business Media

Published: 2003-09-16

Total Pages: 384

ISBN-13: 9783540404743

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A selection of papers exploring a wide spectrum of new trends in nonlinear dynamics and control, such as bifurcation control, state estimation and reconstruction, analysis of behavior and stabilities, dynamics of nonlinear neural network models, and numerical algorithms. The papers focus on new ideas and the latest developments in both theoretical and applied research topics of nonlinear control. Because many of the authors are leading researchers in their own fields, the papers presented in this volume reflect the state of the art in the areas of nonlinear dynamics and control. Many of the papers in this volume were first presented at the highly succesful ''Symposium on New Trends in Nonlinear Dynamics and Control, and Their Applications,'' held October 18-19, 2002, in Monterey, California.

Robust and H_ Control

Robust and H_ Control PDF

Author: Ben M. Chen

Publisher: Springer

Published: 2010-10-21

Total Pages: 0

ISBN-13: 9781849968584

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H-infinity control theory deals with the minimization of the H-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. This comprehensive book examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Chain-Scattering Approach to H∞Control

Chain-Scattering Approach to H∞Control PDF

Author: Hidenori Kimura

Publisher: Springer Science & Business Media

Published: 1996-12-23

Total Pages: 260

ISBN-13: 9780817637873

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Through its rapid progress in the last decade, HOOcontrol became an established control technology to achieve desirable performances of con trol systems. Several highly developed software packages are now avail able to easily compute an HOOcontroller for anybody who wishes to use HOOcontrol. It is questionable, however, that theoretical implications of HOOcontrol are well understood by the majority of its users. It is true that HOOcontrol theory is harder to learn due to its intrinsic mathemat ical nature, and it may not be necessary for those who simply want to apply it to understand the whole body of the theory. In general, how ever, the more we understand the theory, the better we can use it. It is at least helpful for selecting the design options in reasonable ways to know the theoretical core of HOOcontrol. The question arises: What is the theoretical core of HOO control? I wonder whether the majority of control theorists can answer this ques tion with confidence. Some theorists may say that the interpolation theory is the true essence of HOOcontrol, whereas others may assert that unitary dilation is the fundamental underlying idea of HOOcontrol. The J spectral factorization is also well known as a framework of HOOcontrol. A substantial number of researchers may take differential game as the most salient feature of HOOcontrol, and others may assert that the Bounded Real Lemma is the most fundamental building block.