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

Autor M.D.S. Aliyu
en Limba Engleză Hardback – 11 feb 2011
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.
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Specificații

ISBN-13: 9781439854839
ISBN-10: 1439854831
Pagini: 406
Ilustrații: 30 Illustrations, black and white
Dimensiuni: 178 x 254 x 24 mm
Greutate: 0.88 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Public țintă

Researchers and graduate students in control engineering, as well as researchers and graduate students in applied mathematics/ engineering mathematics.

Recenzii

"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

Cuprins

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

Descriere

Based on a decade of research, this reference provides comprehensive mathematical treatment of nonlinear robust control, particularly nonlinear H-infinity control. To be used as a textbook and reference, it covers topics ranging from singular nonlinear H-infinity control, nonlinear H-infinity filtering, mixed H2/H-infinity nonlinear control and filtering, and nonlinear H-infinity-almost-disturbance-decoupling. Continuous-time and discrete-time systems are discussed as well. One chapter focuses on algorithms for the solution of the Hamiltonian – Jacobi equations. The authors employ examples, figures, and simulations to ensure comprehension. They include more than 2,000 equations throughout the book.