Abstract
AbstractThis 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 ε (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.
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