Event-Triggered Global Finite-Time Control for a Class of Uncertain Nonlinear Systems

• Published in: IEEE transactions on automatic control Vol. 65; no. 3; pp. 1340 - 1347
• Main Authors: Zhang, Cui-Hua, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive systems; Asymptotic stability; Backstepping; Co-design; Control stability; Control systems; Event-triggered control; Feedback control; global finite-time stabilization; networked control systems; Nonlinear systems; Stability analysis; Stability criteria; uncertain nonlinear systems
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2019.2928767

This paper focuses on the problem of global finite-time stabilization for a class of uncertain nonlinear systems with event-triggered inputs. The existing event-based design methods can only partially compensate for the effects of the event-triggered errors and cannot completely counteract them to achieve finite-time control. For this reason, a new method about event triggering mechanism and event-triggered controller codesign is presented based on the idea of backstepping design and the sign function technique. It is proved that the event-triggered control system is the Zeno-free and the newly proposed control strategy ensures the global finite-time stability of the closed-loop systems via Lyapunov analyses and finite-time stability theory, which improves the existing results of only boundedness or asymptotic stability. Finally, two examples are performed to demonstrate the validity of the proposed strategy.