Event triggered control for Markovian jump systems with partially unknown transition probabilities and actuator saturation

In this paper, the problem of controller design using event triggered strategy for Markovian jump systems subject to actuator saturation is investigated. Such a problem is motivated by the following aspects. The transition probabilities of Markovian jump systems can usually not be completely accessible. Actuator saturation exists virtually in all practical applications and event triggered scheme reduces communication burden and saves computation energy. A stochastic stabilization condition is derived as well as the lower bound of inter-event time between two consecutive events to avoid Zeno behavior. The corresponding optimization algorithm for obtaining the biggest domain of attraction in mean square sense is then formulated. Finally, some examples are given to evaluate the effectiveness of our results.