The problem of dissipativity-based filtering for switched time-delayed Takagi–Sugeno (T–S) fuzzy nonlinear systems is investigated. Stochastic perturbation and state-dependent switching are taken into consideration simultaneously. Firstly, the characterized T–S fuzzy systems and designed fuzzy filtering error dynamic system should be mean-square exponential stability with a (ℵ, ℏ, ℓ)-δ-dissipative. This paper dedicates effort to stabilization analysis of continuous T–S fuzzy systems, diminishing the conservatism of stability conditions by means of constructing non-common Lyapunov–Krasovskii functional and employing linear matrix inequalities (LMIs). Secondly, the dissipative control problem for T–S fuzzy stochastic system with time-varying delay and uncertainties via state-dependent switching will be dealt with. Thirdly, Sufficient conditions are proposed to guarantee that the filter-based dynamical error system with time delays and uncertainties is mean-square exponentially stable through dissipativity analysis. Numerical simulation results demonstrate availability and effectiveness of the developed design scheme.

研究了切换时滞的Takagi-Sugeno（TS）模糊非线性系统的基于耗散性的滤波问题。同时考虑了随机扰动和状态相关切换。首先，特征化的TS模糊系统和设计的模糊滤波误差动态系统应该是具有（ℵ，ℏ，ℓ）-δ的均方指数稳定性-耗散。本文致力于通过建立非公共的Lyapunov-Krasovskii泛函和使用线性矩阵不等式（LMI）来减少连续T–S模糊系统的稳定性，以减少稳定性条件的保守性。其次，研究了时滞和不确定性的TS模糊随机系统状态依赖切换的耗散控制问题。第三，通过耗散分析，提出了充分的条件，以保证具有时滞和不确定性的基于滤波器的动态误差系统的均方指数稳定。数值模拟结果证明了所开发设计方案的可用性和有效性。