On the near-optimality of composite optimal control for nonstandard singularly perturbed systems

Author

Xu, Hua ; Mukaidani, Hiroaki ; Mizukami, Koichi

Author_Institution

Fac. of Integrated Arts & Sci., Hiroshima Univ., Japan

Volume

4

fYear

1996

fDate

11-13 Dec 1996

Firstpage

3618

Abstract

In this paper, a method based on a generalized algebraic Riccati equation arising in descriptor systems is presented to solve the composite optimal control problem of nonstandard singularly perturbed systems. It is shown that the composite optimal control can be obtained very simply by only revising the solution of the slow regulator problem. It is proven that the composite optimal control can achieve a performance which is O(ε²) close to the optimal performance. Although this result is well-known for the standard singularly perturbed systems, it is new in the nonstandard case

Keywords

Riccati equations; large-scale systems; linear systems; matrix algebra; optimal control; singularly perturbed systems; composite optimal control; descriptor systems; generalized algebraic Riccati equation; near-optimality; nonstandard singularly perturbed systems; slow regulator problem; Art; Electrostatic precipitators; Feedback control; Linear feedback control systems; Matrix decomposition; Optimal control; Performance analysis; Regulators; Riccati equations; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.576964

Filename

576964