Impulsive control for strict-feedback nonlinear systems based on discontinuous monitoring of system states

This paper presents an improved impulsive control method for strict-feedback nonlinear systems subject to discontinuous monitoring of system states. First, a novel scaling-state-based hyperplane is devised using high-gain design techniques, which is subsequently utilized to formulate an event-triggered impulsive control strategy. It is however mentioned that this impulsive control method still necessitates continuous state monitoring and real-time system dynamic evaluation. To overcome this drawback, we make the preliminary attempt to develop a self-triggered impulsive control for strict-feedback nonlinear systems, wherein the next impulse instant can be explicitly estimated by the latest sampled state measurement. Subsequently, an observer-based periodic event-triggered impulsive control strategy is proposed to periodically monitor the system state. Remarkably, the strict positivity of inter-event time can be naturally obtained. It is proved that the closed-loop states can achieve desired boundedness and convergence in both self triggering and event triggering scenarios. Finally, two circuit system examples are provided to confirm the validity of our impulsive control strategies.