Delayed Feedback Stabilization of LPV Systems with Time-Varying State and Input Delays

Author

Wang, Junling ; Wang, Junming ; Yuan, Wei

Author_Institution

Harbin Eng. Univ., Harbin

fYear

2007

fDate

5-8 Nov. 2007

Firstpage

932

Lastpage

937

Abstract

This paper addressed the problem of delay dependent stabilization for linear parameter-varying systems with time-varying state and input delays. A new delay-dependent criterion is developed by constructing the reduction method and combining with the parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controller to stabilize the closed-loop systems from past input information in terms of parameterized linear matrix inequalities. The effectiveness is shown via an numerical example.

Keywords

Lyapunov methods; closed loop systems; control system synthesis; delays; feedback; linear matrix inequalities; linear systems; stability; time-varying systems; LPV systems; closed-loop system; delayed feedback stabilization; gain-scheduled controlled design; input delay; linear matrix inequalities; linear parameter-varying systems; parameter-dependent Lyapunov approach; reduction method; time-varying state; Control systems; Delay effects; Delay systems; Filtering; Linear matrix inequalities; Robustness; Stability analysis; State feedback; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics Society, 2007. IECON 2007. 33rd Annual Conference of the IEEE

Conference_Location

Taipei

ISSN

1553-572X

Print_ISBN

1-4244-0783-4

Type

conf

DOI

10.1109/IECON.2007.4460193

Filename

4460193