Passivity-Based Adaptive Fuzzy Control for Stochastic Nonlinear Switched Systems via T–S Fuzzy Modeling
Zhen Liu, Jinpeng Yu, Hak‐Keung Lam
Abstract
In this note, state-estimator-based adaptive control is under consideration for a sort of nonlinear stochastic switched systems by Takagi–Sugeno (T–S) fuzzy modeling and sliding mode technique. A new fuzzy sliding surface is established by a reformed state estimator, and a novel adaptive fuzzy reaching motion controller synthesis is carried out to force the state trajectories onto the designated sliding surface in limited moments. A new mean-square exponential stability of the resultant plant with passivity is ensured under the average dwell time method and stochastic stability theory. The key challenge overcome here is that one conditional assumption involved in the previous sliding mode control-based strategies for the considered systems is no longer required despite the unavailable states, unknown perturbations, and specified switching signal. At last, a practical data communication network model (DCNM) with simulation is offered to verify the feasibility of the theoretical result.