Global Stabilization of Strict-Feedback Nonlinear Systems With Application to Circuits: An Intermittent Impulsive Control Approach

Abstract

This letter develops an intermittent impulsive control (IIC) approach for the global stabilization of strict-feedback nonlinear systems (SFNSs). In particular, the impulsive actuation instants are determined by a dynamic event-triggered mechanism (ETM). Furthermore, the impulsive controller remains inactive during a specific time window (i.e., the rest interval), as well as between consecutive impulse moments. Utilizing high-gain scaling techniques and Lyapunov stability analysis, it is proven that the proposed IIC scheme can achieve the global asymptotic stabilization of SFNSs while avoiding the occurrence of Zeno behavior. Unlike continuous control and traditional ETM-based impulsive control, the IIC framework established in this letter shows a significant advantage by eliminating the need for both continuous control implementation and persistent state monitoring. Moreover, the theoretical validity of the IIC approach is demonstrated through a practical circuit system.