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Sampled-data Based Dissipativity Control of T-S Fuzzy Markovian Jump Systems under Actuator Saturation with Incomplete Transition Rates

Tianshu Xu, Jianwei Xia*, Xiaona Song, Zhen Wang, and Huasheng Zhang
International Journal of Control, Automation, and Systems, vol. 19, no. 2, pp.632-645, 2021

Abstract : In this paper, the topic of sampled-data based dissipativity control for Takagi-Sugeno (T-S) fuzzy Markovian jump systems with incomplete transition rates and actuator saturation is addressed. First of all, by constructing an appropriate two-sided closed-loop function that captures the realistic information of sampling pattern, together with the free-matrix-based inequality approach, a sufficient condition is developed to ensure the considered systems to be strictly(Q,S,R)-γ-dissipative. Then, the corresponding mode-dependent sampled-data controllers are designed based on the given dissipativity condition. As a corollary, the controller design is presented for the system without disturbance. Furthermore, an optimization problem is investigated in order to maximize the domain of the attraction. Finally, simulation examples are offered to verify the feasibility of the results.

Keyword : Actuator saturation, dissipative control, fuzzy Markovian jump systems, incomplete transition rates, sampled-data control

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