Robust Practical Stabilization of Nonlinear Systems With Saturated Impulsive Control

What we focus on in this brief is the robust practical stabilization (RPS) problem for the impulsive system involving external disturbance, where the impact of actuator saturation on impulses is fully considered. Based on convergent strength of continuous dynamics of the system in the sense of actuator saturation, some sufficient conditions for RPS are presented by designing saturated impulsive controllers. In addition, the control gain is obtained by solving the problem in the form of linear matrix inequalities. Finally, an example about the Chua’s oscillator demonstrates the effectiveness of the obtained result.