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http://dx.doi.org/10.5370/JEET.2016.11.1.200

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

Kim, Ki-Hoon (School of Electrical Engineering, Chungbuk National University)
Park, Myeong-Jin (School of Electrical Engineering, Chungbuk National University)
Kwon, Oh-Min (School of Electrical Engineering, Chungbuk National University)
Lee, Sang-Moon (School of Electronics Engineering, Daegu University)
Cha, Eun-Jong (Department of Biomedical Engineering, School of Medicine, Chungbuk National University)
Publication Information
Journal of Electrical Engineering and Technology / v.11, no.1, 2016 , pp. 200-214 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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