title: Homogenous polynomially parameter-dependent H∞ filter designs of discrete-time fuzzy systems.
abstract: This paper proposes a novel H(∞) filtering technique for a class of discrete-time fuzzy systems. First, a novel kind of fuzzy H(∞) filter, which is homogenous polynomially parameter dependent on membership functions with an arbitrary degree, is developed to guarantee the asymptotic stability and a prescribed H(∞) performance of the filtering error system. Second, relaxed conditions for H(∞) performance analysis are proposed by using a new fuzzy Lyapunov function and the Finsler lemma with homogenous polynomial matrix Lagrange multipliers. Then, based on a new kind of slack variable technique, relaxed linear matrix inequality-based H(∞) filtering conditions are proposed. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approach.
authors: School of Information Science and Engineering, Northeastern University, Shenyang, China. hgzhang@ieee.org
authors: Huaguang
authors: H
authors: Zhang
authors: Xiangpeng
authors: X
authors: Xie
authors: Shaocheng
authors: S
authors: Tong