Title :
Non-fragile guaranteed cost control of time-delayed uncertain systems
Author :
Kim, Jae Man ; Park, Jin Bae ; Choi, Yoon Ho
Author_Institution :
Yonsei Univ., Seoul
Abstract :
In this paper, we present a non-fragile guaranteed cost control design method for uncertain systems with time- varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.
Keywords :
asymptotic stability; control system analysis; control system synthesis; delays; linear matrix inequalities; nonlinear control systems; robust control; time-varying systems; uncertain systems; LMI optimization; Lyapunov method; asymptotical stability; controller gain; cost control design method; linear matrix inequality; nonfragile guaranteed cost control; robust controller design; stability analysis; time-delayed uncertain systems; time-varying delays; uncertain nonlinear term; Control design; Control systems; Costs; Delay; Linear matrix inequalities; Optimization methods; Robust control; Robust stability; Stability analysis; Uncertain systems; Guaranteed cost control; LMI; Time-delayed system;
Conference_Titel :
Control, Automation and Systems, 2007. ICCAS '07. International Conference on
Conference_Location :
Seoul
Print_ISBN :
978-89-950038-6-2
Electronic_ISBN :
978-89-950038-6-2
DOI :
10.1109/ICCAS.2007.4406598