H<inf>∞</inf> filter design for a class of T-S fuzzy systems with quantization and event-triggered communication scheme

Abstract

This paper concerns the H ∞ filter design for T-S fuzzy systems with quantization and event-triggered communication scheme. In general, it is difficult to gain the mathematical model for nonlinear systems. T-S fuzzy systems described by a family of IF-THEN rules, are valid tools to establish model of nonlinear systems. This paper aims to design H ∞ filter, which satisfied closed-loop system is exponentially stable in mean square. Firstly, an event-triggered scheme is introduced to the networked control systems, which decide whether the sensor data was transmitted or not. Secondly, quantization is taken into consideration, which may save the limited bandwidth resources. Thirdly, based on the event-triggered scheme and quantization, we construct filter design model for T-S fuzzy systems. Lastly, the corresponding conditions for the desired filter gains were derived and the explicit expression of filter parameters is given. Two numerical example is provided to demonstrate the design method.