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

被引：7
|
作者：
Zhou Bin [1 ]
Duan Guang-Ren [1 ,2 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[2] Southern Univ Sci & Technol, Ctr Control Sci & Technol, Shenzhen 518055, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2022年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
High-order fully actuated systems; pole assignment; state feedback; zeros;
D O I：
10.1007/s11424-022-2040-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：535 / 542
页数：8
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