Quadratic repulsiveness for LTI systems: Definition, analysis and design

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-07-19 DOI:10.1016/j.ejcon.2025.101284

Damiano Rotondo , Andrea Cristofaro

引用次数: 0

Abstract

This paper introduces and describes the notion of quadratic repulsiveness for linear time-invariant systems. Such novel concept arises from the goal of escaping from an undesirable region of the state space represented by the super level sets of an indefinite quadratic function. The analysis of the special eigenstructure of a system attaining quadratic repulsiveness is carried out first, revealing a number of interesting properties. Design algorithms based on LMIs are proposed for the synthesis of controllers enabling for the simultaneous stabilization and repulsiveness of the closed-loop system. The theoretical results in this paper are illustrated through examples that show the main features of quadratic repulsiveness.

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LTI系统的二次斥力：定义、分析与设计

本文引入并描述了线性定常系统的二次斥力的概念。这种新颖的概念源于摆脱由不定二次函数的超水平集表示的状态空间的不希望区域的目标。首先对达到二次斥力的系统的特殊特征结构进行了分析，揭示了一些有趣的性质。提出了基于lmi的控制器综合设计算法，使闭环系统同时具有镇定性和斥力。通过实例说明了本文的理论结果，说明了二次斥力的主要特征。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.