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一类非线性系统在衰落信道上的事件触发无模型自适应迭代学习控制

Event-Triggered Model-Free Adaptive Iterative Learning Control for a Class of Nonlinear Systems Over Fading Channels.

作者信息

Bu Xuhui, Yu Wei, Yu Qiongxia, Hou Zhongsheng, Yang Junqi

出版信息

IEEE Trans Cybern. 2022 Sep;52(9):9597-9608. doi: 10.1109/TCYB.2021.3058997. Epub 2022 Aug 18.

Abstract

This article investigates the problem of event-triggered model-free adaptive iterative learning control (MFAILC) for a class of nonlinear systems over fading channels. The fading phenomenon existing in output channels is modeled as an independent Gaussian distribution with mathematical expectation and variance. An event-triggered condition along both iteration domain and time domain is constructed in order to save the communication resources in the iteration. The considered nonlinear system is converted into an equivalent linearization model and then the event-triggered MFAILC independent of the system model is constructed with the faded outputs. Rigorous analysis and convergence proof are developed to verify the ultimately boundedness of the tracking error by using the Lyapunov function. Finally, the effectiveness of the presented algorithm is demonstrated with a numerical example and a velocity tracking control example of wheeled mobile robots (WMRs).

摘要

本文研究了一类非线性系统在衰落信道上的事件触发无模型自适应迭代学习控制(MFAILC)问题。输出信道中存在的衰落现象被建模为具有数学期望和方差的独立高斯分布。为了节省迭代过程中的通信资源,构建了一个沿迭代域和时域的事件触发条件。将所考虑的非线性系统转换为等效线性化模型,然后利用衰落输出构建与系统模型无关的事件触发MFAILC。通过使用李雅普诺夫函数进行严格分析和收敛证明,以验证跟踪误差的最终有界性。最后,通过数值例子和轮式移动机器人(WMR)的速度跟踪控制例子证明了所提算法的有效性。

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