受谐波干扰的一维反稳定波方程的自适应误差反馈调节

IF 3.3 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of Process Control Pub Date : 2024-10-28 DOI:10.1016/j.jprocont.2024.103324

Shuangxi Huang , Qing-Qing Hu

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引用次数: 0

摘要

本文利用自适应控制方法，研究了全通道谐波干扰的一维反稳定波方程的误差反馈调节问题。需要调节的输出与控制无关，参考信号也是谐波类型。我们首先通过可逆变换将所有干扰转换为一个通道。然后，通过应用唯一可测量的跟踪误差，我们提出了一种自适应观测器。接下来，我们构建了一个基于观测器的误差反馈控制器，结果表明跟踪误差渐近衰减为零，并且所有内部信号都是有界的。最后，数值模拟表明，所有状态都是均匀有界的，谐波干扰和参考信号的未知振幅可以估计，跟踪误差渐近衰减为零。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Adaptive error feedback regulation for a 1-D anti-stable wave equation subject to harmonic disturbances

In this paper, we study the error feedback regulation problem for a 1-D anti-stable wave equation with harmonic disturbances in all channels via utilizing the adaptive control method. The output to be regulated is non-collocated with the control and the reference signal is also a harmonic type. We first transform all the disturbances into one channel by an invertible transformation. Then we propose an adaptive observer through applying the only measurable tracking error. Next, we construct an observer-based error feedback controller, it is shown that the tracking error decays asymptotically to zero and all internal signals are bounded. Finally, the numerical simulations show that all the states are uniformly bounded, the unknown amplitudes of the harmonic disturbances and reference signal can be estimated and the tracking error decays to zero asymptotically.

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来源期刊

Journal of Process Control 工程技术-工程：化工

CiteScore

7.00

自引率

11.90%

发文量

159

审稿时长

74 days

期刊介绍： This international journal covers the application of control theory, operations research, computer science and engineering principles to the solution of process control problems. In addition to the traditional chemical processing and manufacturing applications, the scope of process control problems involves a wide range of applications that includes energy processes, nano-technology, systems biology, bio-medical engineering, pharmaceutical processing technology, energy storage and conversion, smart grid, and data analytics among others. Papers on the theory in these areas will also be accepted provided the theoretical contribution is aimed at the application and the development of process control techniques. Topics covered include: • Control applications• Process monitoring• Plant-wide control• Process control systems• Control techniques and algorithms• Process modelling and simulation• Design methods Advanced design methods exclude well established and widely studied traditional design techniques such as PID tuning and its many variants. Applications in fields such as control of automotive engines, machinery and robotics are not deemed suitable unless a clear motivation for the relevance to process control is provided.