DocumentCode :
635167
Title :
On a type of second-order generalized Sylvester equations
Author :
Guang-Ren Duan
Author_Institution :
Center for Control Syst. & Guidance Technol., Harbin Inst. of Technol., Harbin, China
fYear :
2013
fDate :
23-26 June 2013
Firstpage :
1
Lastpage :
6
Abstract :
In this paper, a new type of second-order generalized Sylvester equations (GSEs) associated with the general eigenstructure assignment of a type of second-order linear systems are proposed. Degrees of freedom is first investigated using the concept of F-coprimeness, and a complete general parametric solution in a neat explicit closed form is then established using a generalized matrix fraction right factorization. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many control systems analysis and design problems involving second-order dynamical systems.
Keywords :
control system analysis; control system synthesis; linear systems; matrix decomposition; F-coprimeness; complete general parametric solution; control systems analysis; control systems design; degrees of freedom; general eigenstructure assignment; generalized matrix fraction right factorization; neat explicit closed form; second-order dynamical systems; second-order generalized Sylvester equations; second-order linear systems; Control systems; Eigenvalues and eigenfunctions; Mathematical model; Matrices; Nickel; Polynomials; F-coprimeness; Generalized Sylvester equations; degree of freedom; general solutions; right factorization;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
Type :
conf
DOI :
10.1109/ASCC.2013.6606409
Filename :
6606409
Link To Document :
بازگشت