A switching control approach for stability analysis of constrained T–S fuzzy systems

In this paper, the stabilization problem of Takagi–Sugeno (T–S) fuzzy system with input constraints is investigated via a membership function-dependent Lyapunov function (MFDLF). First of all, a membership function-dependent sector condition is adopted to address the input saturation. Then, the average dwell-time (ADT) switching technique is applied to handle the time derivatives of the membership functions, which significantly reduces the conservativeness of the results. Next, on the basis of Lyapunov stability tool, the necessary conditions for the exponential stability are proposed under a non-PDC fuzzy control scheme. Furthermore, the polynomial membership function-dependent matrices are introduced, which achieves the extension of the linear switching to quadratic switching, and further relaxes the conditions. Finally, numerical simulation examples are given for verification.