Robust delay-dependent H_∞ filtering for uncertain Takagi-Sugeno fuzzy neutral stochastic time-delay systems

摘要

This paper addresses the robust H-infinity filter design problem for a class of uncertain fuzzy neutral stochastic system with time-delay through Takagi-Sugeno (T-S) fuzzy model. By constructing an augmented Lyapunov-Krasovskii functional, some novel delay-dependent stability criteria for uncertain fuzzy neutral stochastic system with time varying delay are obtained in terms of linear matrix inequalities. By using the integral inequality in the neutral stochastic setting combined with delay decomposition approach, the H-infinity fuzzy filter is designed to guarantee the corresponding filtering error systems robustly asymptotically stable with a specified H-infinity performance index. At last, two numerical examples are presented to show the less conservatism than the previous results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.