Practical Prescribed-Time Stabilization of a Class of Nonlinear Systems by Event-Triggered and Self-Triggered Control

被引:22
作者
Zhang, Kai [1 ]
Zhou, Bin [2 ]
Hou, Mingzhe [2 ]
Duan, Guang-Ren [2 ]
机构
[1] Harbin Inst Technol, Key Lab Ultraprecis Intelligent Instrumentat, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
Heuristic algorithms; Nonlinear systems; Convergence; Behavioral sciences; Networked control systems; Closed loop systems; Aerodynamics; Event-triggered control (ETC); minimal inter-event time (MIET); nonlinear systems; practical prescribed-time stabilization; self-triggered control (STC); FEEDBACK;
D O I
10.1109/TAC.2023.3338749
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article 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 tradeoff 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.
引用
收藏
页码:3426 / 3433
页数:8
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