Finite-time H∞ control for singular Markovian jump systems with partly unknown transition rates
Applied Mathematical Modelling(2016)
摘要
This paper investigates the problem of finite-time H∞ control for a class of singular Markovian jump systems with partly unknown transition rates. Firstly, sufficient conditions on singular stochastic finite-time boundedness of singular Markovian jump systems with partly unknown transition rates are obtained. Secondly, the results are extended to singular stochastic H∞ finite-time boundedness of singular Markovian jump systems with partly unknown transition rates. Then state feedback controllers are designed to ensure the singular stochastic finite-time boundedness and the singular stochastic H∞ finite-time boundedness of the underlying closed singular Markovian jump systems in the forms of strict LMIs. Finally, numerical examples are given to illustrate the validity of the proposed methods.
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关键词
Singular Markovian jump systems,Singular stochastic finite-time stability,Singular stochastic finite-time boundedness,Partly unknown transition rates,Linear matrix inequalities (LMIs)
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