Stochastic stability and robust control for sampled-data systems with Markovian jump parameters |
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Authors: | Lisheng Hu Biao Huang |
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Institution: | a Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China b School of Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom c Department of Chemical and Materials Engineering, University of Alberta, Edmonton, T6G 2G6 Canada |
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Abstract: | In this paper, the problems of stochastic stability and robust control for a class of uncertain sampled-data systems are studied. The systems consist of random jumping parameters described by finite-state semi-Markov process. Sufficient conditions for stochastic stability or exponential mean square stability of the systems are presented. The conditions for the existence of a sampled-data feedback control and a multirate sampled-data optimal control for the continuous-time uncertain Markovian jump systems are also obtained. The design procedure for robust multirate sampled-data control is formulated as linear matrix inequalities (LMIs), which can be solved efficiently by available software toolboxes. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed techniques. |
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Keywords: | Markovian jump system Stochastic stability Robust control Sampled-data system Linear matrix inequality |
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