Event-Based Finite-Time Control for High-Order Interconnected Nonlinear Systems With Asymmetric Output Constraints

• Published in: IEEE transactions on automatic control Vol. 67; no. 11; pp. 6135 - 6142
• Main Authors: Hua, Chang-Chun, Li, Qi-Dong, Li, Kuo
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asymmetric output constraints; Asymmetry; Asymptotic stability; Controllers; event-trigger control; Feedback control; finite-time control; interconnected high-order nonlinear systems; Liapunov functions; Nonlinear systems; Numerical stability; Stability criteria; Thermal stability; Time-varying systems; Upper bound
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2021.3128471

This article aims to solve the problem of decentralized event-based finite-time control for a class of high-order interconnected nonlinear systems with an asymmetric output constraint. In order to achieve finite-time stability and reduce the update frequency of the controller, a novel controller and its event-trigger mechanism is proposed by adding a power integral technique and utilizing sign function. To fulfill the requirement of asymmetric output constraints, an asymmetric barrier Lyapunov function (BLF) is constructed, which is different from tan-type and log-type BLFs. Based on the contradictory idea and finite-time stability theory, it is proved that there is no Zeno phenomenon under this event-trigger mechanism and all state variables of the closed-loop system attenuate to the origin in the finite-time while the output signals never violate the constraint. Furthermore, the result in this article is expanded to fixed-time control. Finally, a simulation example is given to demonstrate the effectiveness of the presented strategy.