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Robust Control Theory in Hilbert Space

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 913/5 ( reviews)

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Book Synopsis Robust Control Theory in Hilbert Space by : Avraham Feintuch

Download or read book Robust Control Theory in Hilbert Space written by Avraham Feintuch. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: An operator theoretic approach to robust control analysis for linear time-varying systems, with the emphasis on the conceptual similarity with the H control theory for time-invariant systems. It clarifies the major difficulties confronted in the time varying case and all the necessary operator theory is developed from first principles, making the book as self-contained as possible. After presenting the necessary results from the theories of Toeplitz operators and nest algebras, linear systems are defined as input-output operators and the relationship between stabilisation and the existence of co-prime factorisations is described. Uniform optimal control problems are formulated as model-matching problems and are reduced to four block problems, while robustness is considered both from the point of view of fractional representations and the "time varying gap" metric, as is the relationship between these types of uncertainties. The book closes with the solution of the orthogonal embedding problem for time-varying contractive systems. As such, this book is useful to both mathematicians and to control engineers.

Stabilization, Optimal and Robust Control

2008-08-17 Technology & Engineering
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Release : 2008-08-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 447/5 ( reviews)

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Book Synopsis Stabilization, Optimal and Robust Control by : Aziz Belmiloudi

Download or read book Stabilization, Optimal and Robust Control written by Aziz Belmiloudi. This book was released on 2008-08-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Course in Robust Control Theory

2013-03-14 Technology & Engineering
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Release : 2013-03-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 902/5 ( reviews)

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Book Synopsis A Course in Robust Control Theory by : Geir E. Dullerud

Download or read book A Course in Robust Control Theory written by Geir E. Dullerud. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Robust Control of Linear Systems and Nonlinear Control

2013-03-07 Science
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Release : 2013-03-07
Genre : Science
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis Robust Control of Linear Systems and Nonlinear Control by : M. A. Kaashoek

Download or read book Robust Control of Linear Systems and Nonlinear Control written by M. A. Kaashoek. This book was released on 2013-03-07. Available in PDF, EPUB and Kindle. Book excerpt: 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 Theory

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 516/5 ( reviews)

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Book Synopsis Robust Control Theory by : Bruce A. Francis

Download or read book Robust Control Theory written by Bruce A. Francis. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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