Feedback linearization of the nonlinear control system with disturbance

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

Systems & Control Letters Pub Date : 2024-07-01 DOI:10.1016/j.sysconle.2024.105861

Hyeran Hong, Junseong Kim, Hong-Gi Lee

引用次数: 0

Abstract

Feedback linearization of a nonlinear system is to find a nonsingular feedback and a state transformation such that the closed-loop system is linear in the new state coordinates. For the nonlinear control systems with disturbance, the feedback linearization problem is difficult to solve, because we cannot use feedback through disturbance input channel. We define, for the first time, the feedback linearization problem of the nonlinear systems with disturbance and find the verifiable necessary and sufficient conditions. Since our proofs are constructive, a desired state transformation and a feedback can also be found in the theorem.

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有干扰的非线性控制系统的反馈线性化

非线性系统的反馈线性化是指找到一个非正弦反馈和一个状态变换，使得闭环系统在新的状态坐标下是线性的。对于有扰动的非线性控制系统，反馈线性化问题很难解决，因为我们无法通过扰动输入通道使用反馈。我们首次定义了有扰动非线性系统的反馈线性化问题，并找到了可验证的必要条件和充分条件。由于我们的证明是构造性的，因此也可以在定理中找到所需的状态变换和反馈。

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

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.