Title :
Guaranteed Cost Control for Dynamic System with Hybrid Delays and Uncertainty
Author :
Junqing, Wang ; Tiancheng, Wang
Author_Institution :
Lu Dong Univ., Yantai
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;
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
DOI :
10.1109/CHICC.2006.4347460
