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基于干扰观测器动态线性化的离散时间非线性系统无模型自适应控制

Disturbance Observer Dynamic Linearization-Based Model-Free Adaptive Control for Discrete-Time Nonlinear Systems.

作者信息

Yang Zunyao, Hou Mengxue, Hou Zhongsheng, Jin Shangtai

出版信息

IEEE Trans Cybern. 2024 Nov;54(11):6957-6970. doi: 10.1109/TCYB.2024.3431290. Epub 2024 Oct 30.

DOI:10.1109/TCYB.2024.3431290
PMID:39133591
Abstract

In this article, a disturbance observer dynamic linearization (DL)-based model-free adaptive control (MFAC) scheme is proposed for discrete-time nonlinear systems with disturbances and uncertainties. The partial-form-dynamic-linearization-based disturbance observer (PDO) is constructed by applying the DL method to an unknown ideal disturbance observer. An adaptive updating algorithm of the observer gain is derived by minimizing a estimation criterion function. Then, the PDO-based MFAC scheme is formed and its bounded stability is rigorously analyzed using the contraction mapping principle. The proposed scheme is a purely data-driven control method, that is, both the PDO and control system are designed by using only the input/output data of underlying system. A numerical simulation and a vehicle turning experiment are given to verify the effectiveness of the proposed scheme.

摘要

本文针对存在干扰和不确定性的离散时间非线性系统,提出了一种基于干扰观测器动态线性化(DL)的无模型自适应控制(MFAC)方案。通过将DL方法应用于未知理想干扰观测器,构建了基于部分形式动态线性化的干扰观测器(PDO)。通过最小化一个估计准则函数,推导了观测器增益的自适应更新算法。然后,形成了基于PDO的MFAC方案,并利用压缩映射原理对其有界稳定性进行了严格分析。所提出的方案是一种纯数据驱动的控制方法,即PDO和控制系统均仅利用被控系统的输入/输出数据进行设计。给出了数值仿真和车辆转向实验,以验证所提方案的有效性。

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