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| Received:October 14, 2005Revised:January 16, 2006 |
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| Sliding mode control of uncertain systems with distributed time-delay: parameter-dependent Lyapunov functional approach |
| Ligang WU, Changhong WANG, Huijun GAO, Qingshuang ZENG |
| (Space Control and Inertial Technology Research Center, Harbin Institut of Technology, Harbin Heilongjiang 150001, China) |
| Abstract: |
| The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme. |
| Key words: Parameter-dependent Lyapunov functional Distributed delay systems Sliding mode control Robust stabilization Linear matrix inequalities (LMIs) |
