Robust feedback control of a class of singularly perturbed uncertain dynamical systems

Author

Corless, M. ; Ryan, E.P.

Author_Institution

Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

1684

Abstract

A class of uncertain singularly perturbed control systems described by ordinary differential equations is considered. The uncertainties are characterized deterministically: the singular perturbation is characterized by a real nonnegative system parameter μ. For μ=0, the system order is lower than that for μ>0. Based only on information available on the uncertain reduced-order (μ=0), controllers are proposed which assure that the behavior of the feedback-controlled reduced-order system is close to that of global uniform asymptotic stability about zero. Subject to the same controllers, the full-order system (μ>0) has the same qualitative behavior, provided μ<μ*, where μ*>0 can be computed from the available information

Keywords

feedback; stability; time-varying systems; dynamical systems; global uniform asymptotic stability; ordinary differential equations; reduced-order system; singularly perturbed system; time varying systems; uncertain systems; Adaptive control; Asymptotic stability; Control systems; Differential equations; Feedback control; Lyapunov method; Reduced order systems; Robust control; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194615

Filename

194615