Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation

Abstract

Under the frame of event-triggered mechanism, this paper proposes a novel multi-objective anti-disturbance control algorithm for a class of typical semi-Markovian jump systems (S-MJSs) suffering with exogenous disturbances and input saturation. Different from those existing results of S-MJSs, the multi-objective control requirements need to be achieved. Firstly, both the T-S disturbance models and the corresponding disturbance observer (DO) are successively introduced to dynamically estimate those irregular disturbances. Secondly, by combining the saturated convex hull description with the designed event-triggered condition, an event-triggered anti-disturbance controller is designed to achieve effective monitoring of the augmented S-MJSs. Furthermore, not only the stochastic stability of closed-loop S-MJSs and disturbance estimation systems, but also the state/output constraints can be simultaneously guaranteed based on the designed asthenic infinitesimal generator optimization algorithm. Meanwhile, the dynamical tracking error is verified to converge to zero and the Zeno phenomenon can also be effectively avoided. Finally, simulation results for different types of disturbances are given to verify the meaning of the proposed algorithm.