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

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

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A comprehensive overview of nonlinear Haˆž control theory for both continuous-time and discrete-time systems, Nonlinear Haˆž-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear Haˆž-control, nonlinear Haˆž -filtering, mixed H2/ Haˆž-nonlinear control and filtering, nonlinear Haˆž-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 Haˆž-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 Haˆž-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.This book is about nonlinear Haˆž-control theory, Hamiltonian systems, and Hamilton-Jacobi equations. ... for the nonlinear case; in most cases, the solutions are direct generalizations of the linear theory, while in some other cases, the ... nonlinear systems, and the seminal paper, a€œL2-Gain Analysis of Nonlinear Systems and Nonlinear State-Feedback Haˆž-Control ... The book presents the subject from a traditional perspective, and is meant to serve as a self-contained reference manual.


Title:Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations
Author: M.D.S. Aliyu
Publisher:CRC Press - 2011-02-11
ISBN-13:

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