Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method
Fuzzy Sets and Systems(2015)
摘要
This paper presents a new methodology of robust state feedback fuzzy controller based on free weighting matrix method for a class of uncertain Markovian jump nonlinear systems. The class of systems under consideration is represented by the T-S fuzzy model with partly known transition probability matrix. The free weighting matrix method is proposed to obtain a less conservative stochastic stability criterion of the uncertain Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Furthermore, a sufficient condition for the mode-dependent state feedback fuzzy controller is derived for the MJFSs for all admissible parameter uncertainties. Finally, a simulation example is provided to illustrate the effectiveness of the proposed methodology.
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关键词
Uncertain systems,Markovian jump fuzzy systems (MJFSs),Partially known transition matrices,Linear matrix inequalities (LMIs),Free weighting matrix method
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