Fully Actuated System Approach for Linear Systems Control: A Frequency-Domain Solution

Duan Guang-Ren1,2; Zhou Bin2

2022-06-01

10.1007/s11424-022-1361-8

Journal of Systems Science & Complexity   影响因子和分区

1009-6124

1559-7067

This note studies fully actuated linear systems in the frequency domain in terms of polynomial matrix description (PMD). For a controllable first-order linear state-space system model, by using the right coprime factorization of its transfer function matrix, under the condition that the denominator matrix in the right coprime factorization is column reduced, it is equivalently transformed into a fully actuated PMD model, whose time-domain expression is just a high-order fully actuated (HOFA) system model. This method is a supplement to the previous one in the time-domain, and reveals a connection between the controllability of the first-order linear state-space system model and the full-actuation of its PMD model. Both continuous-time and discrete-time linear systems are considered. Some numerical examples are worked out to illustrate the effectiveness of the proposed approaches.

Column reduced factorization first-order linear state-space systems high-order fully actuated systems polynomial matrix description right coprime

SCI ; EI

英语

第一 ; 通讯

Science Center Program of the National Natural Science Foundation of China[62188101] ; Major Program of National Natural Science Foundation of China[61690210,61690212] ; National Natural Science Foundation of China[61333003] ; Self-Planned Task of State Key Laboratory of Robotics and System HIT[SKLRS201716A]

Mathematics

Mathematics, Interdisciplinary Applications

WOS:000813601100014

SPRINGER HEIDELBERG

20222512254401

Continuous time systems ; Frequency domain analysis ; Linear systems ; Matrix algebra ; Polynomials ; Time domain analysis

Mathematics:921 ; Algebra:921.1 ; Mathematical Transformations:921.3 ; Systems Science:961

Web of Science

1.Southern Univ Sci & Technol, Ctr Control Sci & Technol, Shenzhen 518055, Peoples R China
2.Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

Duan Guang-Ren,Zhou Bin. Fully Actuated System Approach for Linear Systems Control: A Frequency-Domain Solution[J]. Journal of Systems Science & Complexity,2022.

Duan Guang-Ren,&Zhou Bin.(2022).Fully Actuated System Approach for Linear Systems Control: A Frequency-Domain Solution.Journal of Systems Science & Complexity.

Duan Guang-Ren,et al."Fully Actuated System Approach for Linear Systems Control: A Frequency-Domain Solution".Journal of Systems Science & Complexity (2022).