Cheng Ting-Ting, Niu Ben, Zhang Jia-Ming, Wang Ding, Wang Zhen-Hua
IEEE Trans Neural Netw Learn Syst. 2023 Sep;34(9):6557-6567. doi: 10.1109/TNNLS.2021.3129228. Epub 2023 Sep 1.
This article proposes two adaptive asymptotic tracking control schemes for a class of interconnected systems with unmodeled dynamics and prescribed performance. By applying an inherent property of radial basis function (RBF) neural networks (NNs), the design difficulties aroused from the unknown interactions among subsystems and unmodeled dynamics are overcome. Then, in order to ensure that the tracking errors can be suppressed in the specified range, the constrained control problem is transformed into the stabilization problem by using an auxiliary function. Based on the adaptive backstepping method, a time-triggered controller is constructed. It is proven that under the framework of Barbalat's lemma, all the variables in the closed-loop system are bounded and the tracking errors are further ensured to converge to zero asymptotically. Furthermore, the event-triggered strategy with a variable threshold is adopted to make more precise control such that the better system performance can be obtained, which reduces the system communication burden under the condition of limited communication resources. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed control scheme.
本文针对一类具有未建模动态特性和规定性能的互联系统,提出了两种自适应渐近跟踪控制方案。通过应用径向基函数(RBF)神经网络(NNs)的固有特性,克服了子系统间未知相互作用和未建模动态特性引起的设计困难。然后,为确保跟踪误差能被抑制在指定范围内,利用辅助函数将约束控制问题转化为稳定问题。基于自适应反步方法,构建了一个时间触发控制器。证明了在Barbalat引理框架下,闭环系统中的所有变量都是有界的,并且进一步确保跟踪误差渐近收敛到零。此外,采用具有可变阈值的事件触发策略进行更精确的控制,从而在通信资源有限的条件下获得更好的系统性能,同时减轻了系统通信负担。最后,给出一个示例以证明所提控制方案的有效性。