On the Role of Zeros in the Pole Assignment of Scalar High-Order Fully Actuated Linear Systems  

作　　者：ZHOU Bin DUAN Guang-Ren 

机构地区：[1]Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China [2]Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen 518055,China

出　　处：《Journal of Systems Science & Complexity》2022年第2期535-542,共8页系统科学与复杂性学报（英文版）

基　　金：This paper was supported by the National Science Fund for Distinguished Young Scholars under Grant No.62125303;the Science Center Program of National Natural Science Foundation of China under Grant No.62188101.

摘　　要：It is well known that for a linear system in state space form,controllability is equivalent to arbitrary pole assignment by state feedback.This brief points out that for a scalar high-order fully actuated linear system,the pole assignment problem is solvable if and only if the desired pole set of the closed-loop system should not include the zero set of the open-loop system if the implementation issue of the controller is taken into account,that is,controllability cannot guarantee arbitrary pole assignment by state feedback.

关 键 词：High-order fully actuated systems pole assignment state feedback ZEROS 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]