Chain Scattering Approach To H Infinity Control
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Chain Scattering Approach To H Control
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Author : Hidenori Kimura
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-03
Chain Scattering Approach To H Control written by Hidenori Kimura 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 2012-05-03 with Science categories.
The advent of H∞-control was a truly remarkable innovation in multivariable theory. It eliminated the classical/modern dichotomy that had been a major source of the long-standing skepticism about the applicability of modern control theory, by amalgamating the "philosophy" of classical design with "computation" based on the state-space problem setting. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s. The purpose of this book is to provide a natural theoretical framework that is understandable with little mathematical background. The notion of chain-scattering, well known in classical circuit theory, but new to control theorists, plays a fundamental role in this book. It captures an essential feature of the control systems design, reducing it to a J-lossless factorization, which leads naturally to the idea of H-infinity-control. The J-lossless conjugation, an essentially new notion in linear system theory, then provides a powerful tool for computing this factorization. Thus the chain-scattering representation, the J-lossless factorization, and the J-lossless conjugation are the three key notions that provide the thread of development in this book. The book is completely self contained and requires little mathematical background other than some familiarity with linear algebra. It will be useful to applied mathematicians and practicing engineers in control system design and as a text for a graduate course in H∞-control and its applications.
Chain Scattering Approach To H Infinity Control
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Author : Hidenori Kimura
language : en
Publisher:
Release Date : 1997
Chain Scattering Approach To H Infinity Control written by Hidenori Kimura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with H [infinity symbol] control categories.
The purpose of this text is to provide a natural theoretical framework that is understandable for practitioners of control system design with little mathematical background.
Chain Scattering Approach To H Control
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Author : Hidenori Kimura
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chain Scattering Approach To H Control written by Hidenori Kimura 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 Mathematics categories.
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.
Chain Scattering Approach To H Control
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Author : Hidenori Kimura
language : en
Publisher:
Release Date : 1996-12-01
Chain Scattering Approach To H Control written by Hidenori Kimura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-01 with categories.
Extending H Infinity Control To Nonlinear Systems
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Author : J. William Helton
language : en
Publisher: SIAM
Release Date : 1999-01-01
Extending H Infinity Control To Nonlinear Systems written by J. William Helton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Technology & Engineering categories.
H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.
Classical Control Using H Infinity Methods
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Author : J. William Helton
language : en
Publisher: SIAM
Release Date : 1998-01-01
Classical Control Using H Infinity Methods written by J. William Helton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Technology & Engineering categories.
This book teaches control system design using H8 methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods.
A Generalized Framework Of Linear Multivariable Control
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Author : Liansheng Tan
language : en
Publisher: Butterworth-Heinemann
Release Date : 2017-02-04
A Generalized Framework Of Linear Multivariable Control written by Liansheng Tan and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-04 with Technology & Engineering categories.
A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases. This book is ideal for scholars, academics, professional engineer and students who are interested in control system theory. - Presents a comprehensive set of numerical procedures, algorithms, and examples on how to deal with irregular models - Provides a summary on generalized framework of linear multivariable control that focuses on generalizations of models and notions - Introduces a number of generalized models by using the generalized inverse of matrix
Nonlinear H Infinity Control Hamiltonian Systems And Hamilton Jacobi Equations
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Author : M.D.S. Aliyu
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Nonlinear H Infinity Control Hamiltonian Systems And Hamilton Jacobi Equations written by M.D.S. Aliyu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H∞-control, nonlinear H∞ -filtering, mixed H2/ H∞-nonlinear control and filtering, nonlinear H∞-almost-disturbance-decoupling, and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter. Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the H∞-control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography. Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.
Partially Observable Linear Systems Under Dependent Noises
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Author : Agamirza E. Bashirov
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-01-23
Partially Observable Linear Systems Under Dependent Noises written by Agamirza E. Bashirov 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 2003-01-23 with Language Arts & Disciplines categories.
This book discusses the methods of fighting against noise. It can be regarded as a mathematical view of specific engineering problems with known and new methods of control and estimation in noisy media. From the reviews: "An excellent reference on the complete sets of equations for the optimal controls and for the optimal filters under wide band noises and shifted white noises and their possible application to navigation of spacecraft." --MATHEMATICAL REVIEWS
Indefinite Quadratic Estimation And Control
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Author : Babak Hassibi
language : en
Publisher: SIAM
Release Date : 1999-01-01
Indefinite Quadratic Estimation And Control written by Babak Hassibi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
This monograph presents a unified mathematical framework for a wide range of problems in estimation and control. The authors discuss the two most commonly used methodologies: the stochastic H² approach and the deterministic (worst-case) H [infinity] approach. Despite the fundamental differences in the philosophies of these two approaches, the authors have discovered that, if indefinite metric spaces are considered, they can be treated in the same way and are essentially the same. The benefits and consequences of this unification are pursued in detail, with discussions of how to generalize well-known results from H² theory to H [infinity] setting, as well as new results and insight, the development of new algorithms, and applications to adaptive signal processing. The authors deliberately have placed primary emphasis on estimation problems which enable one to solve all the relevant control problems in detail. They also deal mostly with discrete-time systems, since these are the ones most important in current applications.