Title :
New Delay-Dependent Stabilization Criterion for Time-Delay Chaotic Systems
Author :
Wang, Yijing ; Zuo, Zhiqiang
Author_Institution :
Tianjin Univ., Tianjin
Abstract :
This paper deals with the problem of standard feedback control for a class of time-delay chaotic systems. A new delay-dependent condition for stabilization with less conservatism is derived in terms of linear matrix inequalities. In order to obtain a lower controller gain, an optimization algorithm is proposed which involves some constraints to restrict the size of gain matrix. A numerical example is provided to show that our method gives significant improvement over the existing ones.
Keywords :
Newton method; chaos; delay systems; feedback; linear matrix inequalities; nonlinear control systems; optimisation; stability criteria; Leibniz-Newton formula; controller gain matrix; delay-dependent stabilization criterion; feedback control; linear matrix inequalities; optimization algorithm; time-delay chaotic systems; Adaptive control; Automation; Chaos; Chaotic communication; Control systems; Delay; Linear matrix inequalities; Orbits; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Natural Computation, 2007. ICNC 2007. Third International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2875-5
DOI :
10.1109/ICNC.2007.499