Event-triggered H∞ filtering of Markov jump systems with general transition probabilities

This paper investigates the Ho, filtering of Markov jump systems with general transition probabilities which are known, uncertain and unknown. The transmission from sensor to filter is determined by a mode-dependent event-triggered scheme. The advantage of the scheme is that no restriction is imposed on a triggering scalar. Employing a zero-order holder, the resulting filtering error system is expressed by Markov jump systems with time delay. With the aid of a relaxed Lyapunov-Krasovskii functional and the Finlser lemma, the desired H-infinity filter gains and the related triggering parameter are solved in a uniformed framework. It is shown that the proposed approach is less conservative than the existing one. Numerical examples are given to verify the validity of the proposed method. (C) 2017 Elsevier Inc. All rights reserved.