带有对称约束切换线性系统的结构可控性  

Structural Controllability of Switched Linear Systems with Symmetric Constraints

作　　者：刘培元 熊军林 LIU Peiyuan;XIONG Junlin(School of Information Science and Technology,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]中国科学技术大学信息科学技术学院,安徽合肥230026

出　　处：《信息与控制》2021年第6期694-700,共7页Information and Control

基　　金：国家自然科学基金面上项目(61773357)。

摘　　要：结构可控性是对传统动态系统可控性概念的推广,它基于系统矩阵中非零项的互连关系,在不依靠具体系统参数的前提下,通过结合图论知识,给出系统可控性的判据.不同于过去大多数研究中非零元素相互独立的前提假设,本文研究了带有对称约束切换线性系统的结构可控性问题.本文推广了茎、芽以及仙人掌等在无向图上的定义,讨论了结构可控性在系统中的广义性.结合联合无向图的定义,给出带有对称约束的切换线性系统结构可控的几何判据.Structural controllability is a generalization of the traditional concept of controllability in dynamic systems.It is based on the interconnection between non-zero terms in the system matrix.It provides information on system controllability without relying on the specific system parameters by combining it with the knowledge of graph theory.Unlike previous assumptions that most non-zero elements are independent of each other,the structural controllability of switched linear systems with symmetric constraints is investigated in this study.Herein,the definitions of the stem,bud,and cactus on undirected graphs are extended,and the generality of structural controllability in systems is discussed.Combined with the definition of joint undirected graphs,the geometric criteria for structural controllability of switched linear systems with symmetric constraints are provided.

关 键 词：切换线性系统 结构可控性 图论 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]