Hu Xiaoyan, Li Yuan-Xin, Hou Zhongsheng
IEEE Trans Cybern. 2022 Jul;52(7):7206-7217. doi: 10.1109/TCYB.2020.3035779. Epub 2022 Jul 4.
In this article, the problem of event-based adaptive fuzzy fixed-time tracking control for a class of uncertain nonlinear systems with unknown virtual control coefficients (UVCCs) is considered. The unknown nonlinear functions of the considered systems are approximated by fuzzy-logic systems (FLSs). Moreover, a novel Lyapunov function is designed to remove the requirement of lower bounds of the UVCC in control laws. In addition, an event-triggered control method is developed by using the backstepping technique to save the network resources. Through theoretical analysis, the event-based fixed-time controller was proposed, which can guarantee that all signals of the controlled system are bounded and the tracking error can converge to a small neighborhood of the origin in a fixed time. Meanwhile, the convergence time is independent of the initial states. Two numerical examples are presented to demonstrate the effectiveness of the proposed approach.
本文研究了一类具有未知虚拟控制系数（UVCCs）的不确定非线性系统基于事件的自适应模糊固定时间跟踪控制问题。所考虑系统的未知非线性函数由模糊逻辑系统（FLSs）逼近。此外，设计了一种新颖的李雅普诺夫函数，以消除控制律中对UVCC下限的要求。另外，利用反步技术开发了一种事件触发控制方法，以节省网络资源。通过理论分析，提出了基于事件的固定时间控制器，该控制器可以保证受控系统的所有信号都是有界的，并且跟踪误差可以在固定时间内收敛到原点的一个小邻域内。同时，收敛时间与初始状态无关。给出了两个数值例子以证明所提方法的有效性。
