Discrete balanced controller order reduction

Author

Oh, Do Chang ; Lee, Kap Rai ; Lee, Sang Kyung ; Park, Hong Bae

Author_Institution

Sch. of Electron. & Electr. Eng., Kyungpook Nat. Univ., Taegu, South Korea

Volume

6

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3577

Abstract

This paper is on a discrete controller order reduction with guaranteed closed loop stability and performance. To achieve this, after finding the solutions of two Lyapunov inequalities and balancing the full order controller system, we obtain the reduced order controllers using the generalized singular perturbation approximation (GSPA) at particular points of complex z-plane. When the solutions of the two Lyapunov inequalities exist, it is shown that the resulting reduced order controllers are guaranteed to stabilize the corresponding systems, and ∞-norm error bounds are derived for the closed loop performance degradation

Keywords

H^∞ control; Lyapunov methods; closed loop systems; discrete systems; reduced order systems; stability; ∞-norm error bounds; GSPA; H^∞ control; Lyapunov inequalities; closed loop performance degradation; complex z-plane; discrete balanced controller order reduction; full order controller system balancing; generalized singular perturbation approximation; guaranteed closed loop stability; reduced order controllers; stability; Closed loop systems; Continuous time systems; Control systems; Degradation; Error correction; Hydrogen; Reduced order systems; Roentgenium; Stability; Virtual manufacturing;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.609489

Filename

609489