Title :
Delay-dependent robust stability and stabilization for norm-bounded uncertain systems with time-varying delay
Author :
Li Lee ; Jun-Shen Chen
Author_Institution :
Electr. Eng. Dept., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
Abstract :
The paper addresses robust stability and stabilization for continuous time-delay systems with norm-bounded uncertainty. The delay is assumed time-varying with both its value and variation rate being bounded. Based on a new Lyapunov-Krasovskii functional and the application of delay partitioning and the free-weighting matrix techniques, a set of sufficient LMI conditions is obtained to ensure asymptotical stability of the nominal system. Since there is no product term of Lyapunov matrix with any system matrix, the robust stabilization problem of computing a state feedback gain to cope with the norm-bounded uncertainty can be solved with reduced conservativeness. Numerical examples are given to show the effectiveness and the improvement of the derived results.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; delays; linear matrix inequalities; robust control; state feedback; time-varying systems; uncertain systems; variational techniques; Lyapunov matrix; Lyapunov-Krasovskii functional; asymptotical stability; continuous time-delay systems; delay partitioning; delay-dependent robust stability; free-weighting matrix techniques; nominal system; norm-bounded uncertain systems; norm-bounded uncertainty; robust stabilization problem; state feedback gain; sufficient LMI conditions; system matrix; time-varying delay; variation rate; Asymptotic stability; Delay; Delay systems; Robust stability; Robustness; Uncertain systems; Uncertainty; LMI; delayed uncertain systems; robust stability;
Conference_Titel :
Computer Science & Education (ICCSE), 2011 6th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-9717-1
DOI :
10.1109/ICCSE.2011.6028571