Robust Nonlinear H ∞ Control Design via Stable Manifold Method
Joint Authors
Abe, Yoshiki
Nishida, Gou
Sakamoto, Noboru
Yamamoto, Yutaka
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper proposes a systematic numerical method for designing robust nonlinear H ∞ controllers without a priori lower-dimensional approximation with respect to solutions of the Hamilton-Jacobi equations.
The method ensures the solutions are globally calculated with arbitrary accuracy in terms of the stable manifold method that is a solver of Hamilton-Jacobi equations in nonlinear optimal control problems.
In this realization, the existence of stabilizing solutions of the Hamilton-Jacobi equations can be derived from some properties of the linearized system and the equivalent Hamiltonian system that is obtained from a transformation of the Hamilton-Jacobi equation.
A numerical example is shown to validate the design method.
American Psychological Association (APA)
Abe, Yoshiki& Nishida, Gou& Sakamoto, Noboru& Yamamoto, Yutaka. 2015. Robust Nonlinear H ∞ Control Design via Stable Manifold Method. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073199
Modern Language Association (MLA)
Abe, Yoshiki…[et al.]. Robust Nonlinear H ∞ Control Design via Stable Manifold Method. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073199
American Medical Association (AMA)
Abe, Yoshiki& Nishida, Gou& Sakamoto, Noboru& Yamamoto, Yutaka. Robust Nonlinear H ∞ Control Design via Stable Manifold Method. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073199
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073199