Exponential Stability of Impulsive System via Saturated Sliding Mode Control

Abstract

This letter presents a class of saturated sliding mode control (SMC) strategy for linear systems subject to impulsive disturbance and input saturation. To ensure the feasibility of proposed SMC under saturation, a relationship is established among attraction domain, saturation structure and control gain. Some necessary constraints on impul-sive disturbance are proposed to ensure the finite-time reachability of the designed sliding surface, where the reaching time is upper estimated. Then, the exponential stabilization of the resulted reduced-order sliding mode is analyzed. Finally, a numerical example is presented to validate the proposed results.