Output null controllability for linear time-invariant structured discrete-time systems: A graph theoretic condition

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2024-06-29 DOI:10.1016/j.ejcon.2024.101077

Jacob van der Woude , Christian Commault , Taha Boukhobza

引用次数: 0

Abstract

In this paper, we consider a linear time-invariant discrete-time system and study the output null controllability problem, i.e., the problem of steering the output to zero in a finite number of steps. We assume that we only know the structure of the system, i.e., the zero/nonzero location in the system matrices. Hence, we consider a structural version of the output null controllability problem. We represent the structure of the system by means of a directed graph and present a graph theoretic sufficient condition for the problem to be generically solvable. Here generically solvable means that the problem is solvable for almost all systems with the same structure. We illustrate the conditions using an example.

查看原文本刊更多论文

线性时不变结构离散时间系统的输出无效可控性：图论条件

本文考虑一个线性时变离散时间系统，研究输出零可控性问题，即在有限步数内将输出转向零的问题。我们假设只知道系统的结构，即系统矩阵中的零/非零位置。因此，我们考虑的是输出为零可控性问题的结构版本。我们用有向图来表示系统结构，并提出了问题一般可解的图论充分条件。这里的一般可解是指几乎所有具有相同结构的系统都能解决这个问题。我们用一个例子来说明这些条件。

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

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.