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Mobile QR Code QR CODE : The Transactions of the Korean Institute of Electrical Engineers
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Title Non-fragile Guaranteed Cost Control of Uncertain Nonlinear Systems with Time-varying Delays in State and Control Input
Authors 김재만(Kim, Jae-Man) ; 최윤호(Choi, Yoon-Ho) ; 박진배(Park, Jin-Bae)
DOI https://doi.org/10.5370/KIEE.2012.61.3.459
Page pp.459-465
ISSN 1975-8359
Keywords Non-fragile ; Guaranteed cost control ; Delay ; Uncertain nonlinear systems ; LMI
Abstract In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear 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.