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

1. Auflage 2011
ISBN: 978-1-4398-5483-9
Verlag: CRC Press

Buch, Englisch, 406 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 955 g

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.

Zielgruppe

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

Autoren/Hrsg.

Aliyu, M. D. S.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

M.D.S. Aliyu