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http://dx.doi.org/10.5370/KIEE.2014.63.7.976

Reliable Control for Linear Dynamic Systems with Time-varying Delays and Randomly Occurring 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)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.63, no.7, 2014 , pp. 976-986 More about this Journal
Abstract
In this paper, the problem of reliable control of linear systems with time-varying delays, randomly occurring disturbances, and actuator failures is investigated. It is assumed that actuator failures occur when disturbances affect to the systems. Firstly, by using a suitable Lyapunov-Krasovskii functional and some recent techniques such as Wirtinger-based integral inequality and reciprocally convex approach, stabilization criterion for nominal systems with time-varying delays is derived. Secondly, the proposed method is extended to the reliable $H_{\infty}$ controller design for linear dynamic systems with time-varying delays, randomly occurring disturbances, and actuator failures. Since nonlinear matrix inequalities (NLMIs) are involved in proposed results, the cone complementarity algorithm will be introduced. Finally, two numerical examples are included to show the effectiveness of the proposed criteria.
Keywords
Reliable control; Time-delays; Randomly occurring disturbances; Actuator failures; Lyapunov method;
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