Robust error feedback output regulation of a 2 × 2 hyperbolic system

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2023-05-30 DOI:10.1093/imamci/dnad015

Wei-Wei Liu, Jun-Min Wang, Xiang-Dong Liu

引用次数: 0

Abstract

Abstract In this paper, we consider the robust error feedback output regulation problem for a linear $ 2 \times 2 $ hyperbolic system with system uncertainties and disturbance signals. Using the backstepping method, the state feedback controller for the system without the system uncertainties and the external disturbance signals (nominal system) is designed. In terms of the measurable regulation error, an observer system is designed to recover the state of the nominal system, and an observer-based error feedback controller is obtained to solve the robust output regulation problem. Moreover, we prove that the controller is robust to the system uncertainties and the disturbance signals, and show that the state of the closed-loop system is bounded. The numerical simulations are presented to illustrate the effectiveness of the theoretical results.

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2 × 2双曲系统的鲁棒误差反馈输出调节

研究了一类具有系统不确定性和干扰信号的线性$ 2 \ × 2 $双曲型系统的鲁棒误差反馈输出调节问题。采用反步法，设计了不存在系统不确定性和外部干扰信号的系统(标称系统)的状态反馈控制器。针对可测量的调节误差，设计了观测器系统来恢复标称系统的状态，并设计了基于观测器的误差反馈控制器来解决鲁棒输出调节问题。此外，还证明了该控制器对系统不确定性和干扰信号具有鲁棒性，并证明了闭环系统的状态是有界的。通过数值模拟验证了理论结果的有效性。

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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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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