Stabilization bound of singularly perturbed switched nonlinear systems subject to actuator saturation using the Takagi-Sugeno fuzzy model

This paper addresses the measurement problem of stability bound for saturated singularly perturbed switched nonlinear systems (SPSNSs) through the Takagi-Sugeno (T-S) fuzzy model method. The common Lyapunov function method is applied to construct a state-feedback stabilization controller that incorporates epsilon (the singular perturbation parameter) such that the asymptotic stability can be achieved for the switched closed-loop system under arbitrary switching. Additionally, a basin of attraction is determined by solving a convex optimization problem. Finally, a numerical example and a practical engineering problem are presented to verify the usefulness and feasibility of the proposed results.