Hybrid-driven H∞ filter design for T–S fuzzy systems with quantization

Abstract

Abstract This paper is mainly concerned with hybrid-driven H ∞ filtering for a class of Takagi–Sugeno (T–S) fuzzy systems with quantization. To reduce the redundancy of transmission data and save the network bandwidth, a hybrid-driven scheme and a logarithmic quantizer are introduced in this paper. Firstly, by taking the effect of hybrid-driven scheme and quantization into consideration, a mathematical H ∞ filter model for T–S fuzzy systems is constructed. Secondly, by applying Lyapunov stability theory, sufficient conditions for asymptotical stabilization of desired system are obtained. Moreover, an explicit algorithm for H ∞ filter design is presented with the help of linear matrix inequality (LMI) techniques. Finally, numerical and physical simulations show the usefulness of the proposed filter design approach.