Robust stabilization of uncertain linear dynamical systems with time-varying delay |
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Authors: | H S Wu K Mizukami |
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Institution: | (1) Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima City, Japan |
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Abstract: | In this paper, the problem of the robust stabilization for a class of uncertain linear dynamical systems with time-varying delay is considered. By making use of an algebraic Riccati equation, we derive some sufficient conditions for robust stability of time-varying delay dynamical systems with unstructured or structured uncertainties. In our approach, the only restriction on the delay functionh(t) is the knowledge of its upper boundh
–. Some analytical methods are employed to investigate these stability conditions. Since these conditions are independent of the delay, our results are also applicable to systems with perturbed time delay. Finally, a numerical example is given to illustrate the use of the sufficient conditions developed in this paper. |
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Keywords: | Robust stabilization linear dynamical systems time-varying delays sufficient conditions unstructured and structured uncertainties algebraic Riccati equation |
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