具有稳定和不稳定子系统的切换系统的观测器控制器设计

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

IMA Journal of Mathematical Control and Information Pub Date : 2023-10-11 DOI:10.1093/imamci/dnad026

Donglei Xie, Yantao Chen, Ying Qiao

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引用次数: 0

摘要

研究了一类具有稳定子系统和不稳定子系统的切换线性系统的状态估计和观测器控制问题。结合慢速切换和快速切换机制，提出了观测器设计和基于观测器的控制器。首先，通过设计允许的边缘相关开关信号，建立状态观测器来估计切换系统的状态，并构造多重不连续Lyapunov函数来获得观测器的存在条件。其次，根据子系统的稳定性特征和估计的状态信息，提出了一种基于观测器的反馈控制器。李雅普诺夫稳定性理论也保证了闭环系统的稳定性。最后，通过仿真验证了所提方法的可行性。

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Observer-based controller design for switched systems with stable and unstable subsystems

Abstract This paper studies the problems of both state estimation and observer-based control for a class of switched linear systems with stable and unstable subsystems. By combining slow switching and fast switching mechanism, the observer design and observer-based controller are presented. Firstly, a state observer is developed to estimate the states of switched system by designing admissible edge-dependent switching signal, and a multiple discontinuous Lyapunov function is also constructed to obtain the existence condition of observer. Secondly, based on the stability characteristics of subsystem and the estimated state information, an observer-based feedback controller is proposed. The stability of the closed-loop system is also guaranteed by Lyapunov stability theory. Finally, the feasibility of the proposed method is verified by simulation.

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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

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.