Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment

IF 6.2 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2026-04-01 Epub Date: 2026-01-21 DOI:10.1016/j.automatica.2026.112831

Kai Wulff , Maria Christine Honecker , Robert Schmid , Johann Reger

引用次数: 0

Abstract

We consider the analytical control design for switched linear multiple-input multiple-output (MIMO) systems subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment ensuring that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs, and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples.

查看原文本刊更多论文

基于特征结构赋值的任意开关线性系统非超调输出整形

研究了受任意开关信号影响的切换线性多输入多输出（MIMO）系统的解析控制设计。提出了一种状态反馈控制器设计方法来获得特征结构分配，保证闭环切换系统全局渐近稳定，输出实现阶跃参考的非超调跟踪。我们的分析表明，对于给定的系统和考虑的输出，是否可以实现非超调或甚至单调跟踪，并提供了分配给组成子系统的可能特征结构的选择。我们推导了一个结构条件来验证所选赋值的可行性。给出了一种构造算法来获取合适的反馈矩阵，并用数值算例说明了该方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.