Stochastic stability and robust control for sampled-data systems with Markovian jump parameters

By Li-Sheng Hu, Peng Shi, Biao Huang. 2006

64 citations recorded by the source corpus.

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.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e0757e549dbee1f2f9ac14569cf851577688dc8c

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In Control and Systems Engineering

Citations in the corpus

Stability analysis for stochastic hybrid systems: A survey (2014, background): “Such systems are studied by Hu et al. (2006) and Wu and Sun (2006) for example.”