Title :
Quadratic Stability of Linear Time-Delayed Switched Systems with Polytopic Perturbations
Author :
Huibo Zhou ; Hongwei Zhang ; Yuzhong Liu
Abstract :
The problem of quadratic stability of linear time-delayed switched systems with polytopic perturbations is considered. The perturbation is formed by a polytopic which is spanned by a number of constant known matrixes. By using condition of completeness, Lyapunov asymptotic stability theory and linear matrix inequality (LMI) method, delay independent quadratic stability conditions and the switching law of the uncertain delayed switched system are derived. Then by defining linear transformation, the delayed system can be converted to a delay-free system, and consequently delay dependent quadratic stability conditions and the switching law of the uncertain delayed switched system are obtained. The simulation results show the validity of the switching law
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; linear systems; perturbation techniques; time-varying systems; uncertain systems; Lyapunov asymptotic stability theory; delay-free system; linear matrix inequality; linear time-delayed switched system; polytopic perturbation; quadratic stability; switching law; uncertain delayed switched system; Asymptotic stability; Automation; Delay lines; Delay systems; Intelligent control; Linear matrix inequalities; Mathematics; Matrix converters; Quadratic programming; Switched systems; completeness; delay-dependent; polytopic perturbations; time-delayd switched systems;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712426
