具有非局域项和未知谐波干扰的波动偏微分方程的自适应输出调节

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-02-07 DOI:10.1016/j.sysconle.2025.106043

Jun-Jun Liu , Ning Peng , Jun-Min Wang

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引用次数: 0

摘要

本文应用内模原理和自适应频率估计策略，实现了具有速度再循环和未知谐波干扰的一维波动方程的输出跟踪。干扰存在于所有通道中，并且干扰和参考轨迹都具有未知的正弦形式。我们首先构造一个辅助系统和一个适当的轨迹，使得总扰动只出现在辅助系统的输出中。因此，我们通过构造内部模型动力学得到了总扰动的动态估计。提出了一种确定不确定参数的自适应方法。为了实现指数输出跟踪，采用了基于误差的自适应动态补偿器。最后，通过仿真算例对结果进行了验证。

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Adaptive output regulation for wave PDEs with a nonlocal term and unknown harmonic disturbances

In this paper, we apply internal model principle (IMP) and the adaptive frequency estimation strategy to achieve output tracking for a one-dimensional wave equation with velocity recirculation and unknown harmonic disturbances. The disturbances are present in all channels, and both the disturbances and the reference trajectory have an unknown sinusoidal form. We first construct an auxiliary system and a proper trajectory such that total disturbances appear only in the output of the auxiliary. As a result, we obtain a dynamic estimation of the total disturbances by constructing an internal model dynamics. An adaptive method is proposed to determine the uncertain parameters. In order to realize exponential output tracking, the proposed error-based adaptive dynamic compensator is employed. Finally, some simulation examples are carried out to validate the results.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.