Practical Prescribed-Time Stabilization of a Class of Nonlinear Systems by Event-Triggered and Self-Triggered Control
Kai Zhang, Bin Zhou, Mingzhe Hou, Guang‐Ren Duan
Abstract
This paper aims to solve the global practical prescribed-time stabilization problem of a class of nonlinear systems by bounded static and dynamic event-triggered control (ETC) and self-triggered control (STC) algorithms with a trade-off performance. First, a static event-triggered mechanism is designed to update the control law based on the parametric Lyapunov equation containing a time-varying parameter that will approach to infinity at the prescribed settling time. This method can achieve the practical prescribed-time stabilization with fewer events. Second, the dynamic ETC algorithm is designed to further increase the inter-event times. Third, the corresponding static and dynamic STC are also designed, respectively. Specially, the designed algorithms not only guarantee Zeno-free behaviour but also give the relationship between the prescribed-time and the minimal inter-event time (MIET). In some cases, the MIET can be designed as an arbitrarily large bounded constant. Finally, an illustrative system is used to verify the effectiveness of the designed algorithms.