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

Aliyu, M.D.S.

Softcover

ISBN 10: 1138072753 ISBN 13: 9781138072756

Publisher: Routledge, 2017

Synopsis

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.

About this title

About the Author

M.D.S. Aliyu

From the Back Cover

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.

Edition details

• Publisher: Routledge
• Publication date: 2017
• Language: English
• ISBN 10: 1138072753
• ISBN 13: 9781138072756
• Binding: Paperback
• Edition number: 1
• Number of pages: 408