Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

M.D.S. Aliyu (Ecole Polytechnique, Montreal, Canada)

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English

CRC Press Inc
11 February 2011

Algebra; Calculus of variations; Applied mathematics; Electrical engineering

A comprehensive overview of nonlinear Haeu control theory for both continuous-time and discrete-time systems, Nonlinear Haeu-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear Haeu-control, nonlinear Haeu -filtering, mixed H2/ Haeu-nonlinear control and filtering, nonlinear Haeu-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 Haeu-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 Haeu-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.

By: M.D.S. Aliyu (Ecole Polytechnique Montreal Canada)
Imprint: CRC Press Inc
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
Weight: 884g
ISBN: 9781439854839
ISBN 10: 1439854831
Pages: 406
Publication Date: 11 February 2011
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

1: Introduction; 2: Basics of Differential Games; 3: Theory of Dissipative Systems; 4: Hamiltonian Mechanics and Hamilton-Jacobi Theory; 5: State-Feedback Nonlinear H ? -Control for Continuous-Time Systems; 6: Output-Feedback Nonlinear H ? -Control for Continuous-Time Systems; 7: Discrete-Time Nonlinear H ? -Control; 8: Nonlinear H ? -Filtering; 9: Singular Nonlinear H ? -Control and H ? -Control for Singularly-Perturbed Nonlinear Systems; 10: H ? -Filtering for Singularly-Perturbed Nonlinear Systems; 11: Mixed ? 2 / ? ? Nonlinear Control; 12: Mixed ? 2 / _ ? ? Nonlinear Filtering; 13: Solving the Hamilton-Jacobi Equation

Ecole Polytechnique, Montreal, Canada

Reviews for Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

"""This book is a comprehensive overview of nonlinear H∞-control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of H∞-control theory."" —Vasile Drăgan (Bucharest), Mathematical Reviews, 2012D ""This book is a comprehensive overview of nonlinear H∞-control theory for both continuous-time and discrete-time systems. ... The book can be used for a specialized or seminar course in robust and optimal control of nonlinear systems. It is 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. I believe that this book will be cited in many future works in the field of H∞-control theory."" —Vasile Drăgan (Bucharest), Mathematical Reviews, 2012D"