SMC for semiMarkov jump TS fuzzy systems with time delay Abstract   This paper investigates the issue of robust stabilization for delayed semiMarkov jump TS fuzzy systems via sliding mode control (SMC). In order to reduce some conservativeness, an integral sliding mode surface (ISMS) is designed without assumption that the input matrices are platrule independent with full column rank, which is one of the critical factors for system performance. Based on Lyapunov functional theory, sufficient condition is provided for stochastic stability of the closedloop system, and then extended to the case where the input matrices are independent of plantrule. In addition, a fuzzy SMC controller is established to guarantee the finite time reachability of the predetermined fuzzy manifold. Finally, the superiorities of the proposed method are validated by a singlelink robot arm model.

Dynamic outputfeedback control for descriptor Markovian jump TS fuzzy systems with model uncertainty This paper investigates the design problem for dynamic outputfeedback control of descriptor Markovian jump TS fuzzy systems with model uncertainty. Firstly, the admissibility criterion for the descriptor Markovian jump TS fuzzy systems is proposed. Then, based on the assumption with respect to the model uncertainty, the closedloop system is obtained with the modedependent dynamic outputfeedback TS fuzzy controller. For the obtained closedloop system, a sufficient condition for the stochastic admissibility criterion is provided and then successfully converted into parameterized linear matrix inequalities. By appropriately choosing the structures of variables, the linear matrix inequalities are obtained as a sufficient condition for the parameterized linear matrix inequalities. Finally, this paper demonstrates the feasibility of the proposed control by providing a numerical example.