Reliable control of uncertain delayed discrete-time systems with SQC

Author

Zhang Xian ; Yang Xinrong ; Liu Ying

Author_Institution

Sch. of Math. Sci., Heilongjiang Univ., Harbin, China

fYear

2010

fDate

29-31 July 2010

Firstpage

2029

Lastpage

2033

Abstract

The reliable control design problem for uncertain discrete-time systems with control delay and possible actuator failures in the input channels is discussed. A sum quadratic constraint (SQC) performance is proposed, which is a generalization of the H_∞ control problem and the passivity control problem of discrete-time systems. Based on Lyapunov quadratic stability criteria and linear matrix inequality (LMI) approach, a sufficient condition is established to guarantee that the closed-loop system with the possible actuator failures satisfy the SQC performance. A provided example shows the applicability of our approach.

Keywords

Lyapunov methods; delays; discrete time systems; linear matrix inequalities; linear quadratic control; uncertain systems; H∞ control; Lyapunov quadratic stability criteria; closed-loop system; control delay; linear matrix inequality; reliable control design problem; sum quadratic constraint; uncertain delayed discrete-time systems; Actuators; Delay; Reliability engineering; Reliability theory; Robustness; State feedback; Discrete-time Systems; Reliable Control; State Feedback; Sum Quadratic Constraint; Time Delay; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573517