PID eigenstructure assignment in second-order dynamic systems: A parametric method

Author

Wang, Guosheng ; Lv, Qiang ; Duan, Guangren

Author_Institution

Dept. of Control Eng., Acad. of Armored Force Eng., Beijing

fYear

2008

fDate

25-27 June 2008

Firstpage

856

Lastpage

859

Abstract

The design of eigenstructure assignment in second-order dynamic systems via proportional-integral-derivative (PID) feedback is considered. Based on a group of parametric solutions to a type of generalized Sylvester matrix equations, a complete parametric method for the proposed eigenstructure assignment problem is presented. This method gives simple complete parametric expressions for the PID feedback gain matrices and the closed-loop eigenvector matrices. In addition, the proposed method offers all the design degrees of freedom, which can be utilized to satisfy certain performance specifications in real applications. An illustrative example shows the effect of the proposed approach.

Keywords

closed loop systems; eigenstructure assignment; eigenvalues and eigenfunctions; feedback; matrix algebra; three-term control; PID eigenstructure assignment; closed-loop eigenvector matrices; generalized Sylvester matrix equations; proportional-integral-derivative feedback; second-order dynamic systems; Appropriate technology; Control systems; Design automation; Eigenvalues and eigenfunctions; Equations; Feedback control; Force feedback; Intelligent control; Robot control; Three-term control; PID feedback; Second-order dynamic systems; eigenstructure assignment; parameterization;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on

Conference_Location

Chongqing

Print_ISBN

978-1-4244-2113-8

Electronic_ISBN

978-1-4244-2114-5

Type

conf

DOI

10.1109/WCICA.2008.4593034

Filename

4593034