Nonfragile anti-transitional-asynchrony fault tolerant control for IT2 fuzzy semi-Markov jump systems with actuator failures

This paper studies the nonfragile anti-transitional-asynchrony fault tolerant control for discrete interval type-2 fuzzy semi-Markov jump systems with bounded dwell time. In contrast to the traditional Takagi-Sugeno (T-S) fuzzy model, this paper utilises the interval 2-type fuzzy model to represent the nonlinear discrete semi-Markov jump systems. The main novelty is to design an anti-transitional-asynchrony fault-tolerant control mechanism with controller gain fluctuations under the framework of IT2 fuzzy, fault-tolerant control, and transitional asynchrony, which reduces the conservatism to a certain extent. The transitional asynchrony is adopted, i.e., the controller switching lags behind the plant switching, and this lag is associated with the transition between the current mode and the next mode. By virtue of semi-Markov kernel method, the mean-square stability of the underlying system is achieved, overcoming the difficulties caused by the transitional asynchrony. In addition, taking into account that the actuator may encounter random faults during system operation, this paper applies a fault tolerant method in the design of nonfragile anti-transitional-asynchrony control to improve the fault tolerance of the system. Finally, a tunnel circuit model verifies the effectiveness of the designed control method.