Guaranteed Cost Control for Dynamic System with Hybrid Delays and Uncertainty

Author

Junqing, Wang ; Tiancheng, Wang

Author_Institution

Lu Dong Univ., Yantai

fYear

2007

Firstpage

678

Lastpage

681

Abstract

The problem of guaranteed cost control for dynamic system with hybrid delays and uncertainty is considered in this paper. Sufficient condition for solving the problem is obtained by using parameter-dependent Lyapunov function and decomposing the coefficient matrix of the delay vector. The guaranteed cost controller can be obtained by solving the quadratic matrix inequality, which makes closed-loop system exponential stable, as well as guarantying the cost is bounded in a limitation. Finally, the numerical example shows the validity.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; delay systems; time-varying systems; uncertain systems; closed-loop system; coefficient matrix; delay vector; dynamic system; guaranteed cost control; hybrid delays; parameter-dependent Lyapunov function; quadratic matrix inequality; uncertain systems; Control systems; Costs; Delay systems; Linear matrix inequalities; Mathematics; Matrix decomposition; Stability; Sufficient conditions; Uncertain systems; Uncertainty; Exponential stability; Guaranteed cost control; Parameter uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4347460

Filename

4347460