On the design of stabilizing controllers for singularly perturbed systems

Author

Lin, Chun-Liang ; Chen, Bor-Sen

Author_Institution

Chung Shan Inst. of Sci. & Technol., Taoyuan, Taiwan

Volume

37

Issue

11

fYear

1992

fDate

11/1/1992 12:00:00 AM

Firstpage

1828

Lastpage

1834

Abstract

The robustness of output feedback control designs for singularly perturbed systems based on the reduced systems is discussed. A frequency-domain approach is presented to determine the conditions for the stability of linear time-invariant systems subject to neglected high-frequency dynamics. In contrast with the qualitative analyses for robust stability that have appeared in the literature, this approach gives an explicit, computable bound on unmodeled dynamics which does not destabilize the systems. Stability conditions for various feedback control schemes are presented. It is noted that the approach, extended to systems with mixed singular-regular perturbations, can be used to derive the robust stability condition

Keywords

control system synthesis; feedback; frequency-domain synthesis; linear systems; stability; computable bound; control system synthesis; frequency-domain approach; linear time-invariant systems; mixed singular-regular perturbations; neglected high-frequency dynamics; output feedback control; robust stability condition; robustness; singularly perturbed systems; stabilizing controllers; unmodeled dynamics; Automatic control; Control systems; MIMO; Nonlinear control systems; Nonlinear systems; Output feedback; Reduced order systems; Robust control; Sliding mode control; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.173161

Filename

173161