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A delay-range-dependent approach to robust H∞ control for uncertain linear systems with time-varying delays

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4 Author(s)
Huaicheng Yan ; Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong, China ; Meng, M.Q.-H. ; Hao Zhang ; Baopu Li

The problem of delay-range-dependent robust Hinfin control for uncertain systems with time-varying delays and parameter uncertainties is investigated in this paper. The time delay is assumed to be a time-varying continuous function belonging to a given range. By introducing some free weighting matrices and by exploiting a novel Lyapunov-Krasovskii functional, which includes the information of the range of the time delay, some new delay-range-dependent criteria on stability, stabilization and the existence of a Hinfin controller are proposed in terms of linear matrix inequality (LMI). These developed results enjoy less conservatism than some existing ones. Numerical examples are provided to demonstrate the effectiveness and the advantages of the proposed method.

Published in:

Information and Automation, 2009. ICIA '09. International Conference on

Date of Conference:

22-24 June 2009