Control Synthesis of Markovian Jump Nonlinear System via A New Fuzzy Switching Controller

The task of control synthesis of Markovian jump nonlinear system is well investigated through giving a new fuzzy switching controller aiming at easing the conservatism than before. Compared with previous results, less conservative stabilization conditions for the considered discrete-time Markovian jump fuzzy system can be gained which lead to wider application of the proposed theoretical method. In the analysis and derivation process, some important information hidden in the fuzzy basis function is well utilized and thus a new scheme of fuzzy switching control law is presented to reduce the conservatism that is caused by ignoring those important information hidden in the fuzzy basis function in the literature. Finally, the validity and advantage of the proposed method over the recent one is also demonstrated by controlling an inverted pendulum model.

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