Event-based filter design for singular positive Markov jump systems with parameter uncertainty and measurement delay

Abstract

This paper is concerned with the filter design problem for a class of singular positive Markov jump systems with parameter uncertainty and measurement delay. Considering the limitation of communication bandwidth, the mode-dependent event-triggered (E-T) mechanism is introduced when designing the filter. In general, the phenomena of data collision and congestion can be reduced by employing this form of filter. On the basis of stochastic co-positive Lyapunov function technique, the regularity, causality, positivity, stochastic stability, and weighted l1-gain performance of the resulting filtering error system are discussed. In addition, the corresponding design method applied to filter parameters are also provided in detail. Finally, two numerical simulations are given to demonstrate the effectiveness and feasibility of the results proposed in this paper.