A comprehensive overview of nonlinear H8 control theory for both continuous-time and discrete-time systems, Nonlinear H8-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H8-control, nonlinear H8 -filtering, mixed H2/ H8-nonlinear control and filtering, nonlinear H8-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 H8-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 H8-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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M.D.S. Aliyu
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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