title: Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach.
abstract: This paper addresses the problem of robust fuzzy L2-L∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi-Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and that it has a prescribed L2-L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques.
authors.forename: Yanyan
authors.initials: Y
authors.lastname: Yin
authors.forename: Peng
authors.initials: P
authors.lastname: Shi
authors.forename: Fei
authors.initials: F
authors.lastname: Liu
authors.forename: Kok Lay
authors.initials: KL
authors.lastname: Teo
authors.forename: Cheng-Chew
authors.initials: CC
authors.lastname: Lim