Finite-Time Asynchronous Strict Passive Control for Fuzzy Markov Jump Systems Via Output Feedback

The finite-time asynchronous strict passive control for fuzzy Markov jump systems via output feedback is studied in this paper. The asynchronization is between the controller mode and the system mode and it can be described by the hidden Markov model. Applying Takagi-Sugeno fuzzy techniques, we ensure the finite-time boundedness and strict passivity of the fuzzy Markov jump systems by a suitable Lyapunov function. Then, we obtain the asynchronous strictly passive controller gains by solving a train of linear matrix inequalities. Finally, the correctness and feasibility of this designed method are illustrated by an example.