Stability and Robust H Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances

Title & Authors
Stability and Robust H Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances
Kim, Ki-Hoon; Park, Myeong-Jin; Kwon, Oh-Min; Lee, Sang-Moon; Cha, Eun-Jong;

Abstract
This paper investigates the problem of stability analysis and robust H controller for time-delayed systems with parameter uncertainties and stochastic disturbances. It is assumed parameter uncertainties are norm bounded and mean and variance for disturbances of them are known. Firstly, by constructing a newly augmented Lyapunov-Krasovskii functional, a stability criterion for nominal systems with time-varying delays is derived in terms of linear matrix inequalities (LMIs). Secondly, based on the result of stability analysis, a new controller design method is proposed for the nominal form of the systems. Finally, the proposed method is extended to the problem of robust H controller design for a time-delayed system with parameter uncertainties and stochastic disturbances. To show the validity and effectiveness of the presented criteria, three examples are included.
Keywords
Stochastic disturbances;Parameter uncertainties;Time-varying delays;Lyapunov method;
Language
English
Cited by
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