Stabilization bound of time-delay singularly perturbed systems with actuator saturation

In this paper, the stabilization bound problem for time-delay singularly perturbed systems (SPSs) with actuator saturation is considered. Based on the Lyapunov-Kravoskii functional and linear matrix inequality (LMI) approach, the design method of stabilization controller for SPSs with time-delay and actuator saturation is proposed. Then, the problem of estimating the domain of attraction depending on the singular perturbation parameter is formulated as a convex optimization problem. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed method.