Abstract
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.
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