Low eigenvalue sensitivity eigenstructure assignment to linear parameter varying systems

Author

Shi, Fengming ; Patton, Ron J.

Author_Institution

Dept. of Eng., Univ. of Hull, Kingston upon Hull, UK

fYear

2012

fDate

3-5 Sept. 2012

Firstpage

166

Lastpage

171

Abstract

This paper is concerned with the assignment of a desired eigenstructure to linear parameter-varying (LPV) systems as an extended version of the corresponding eigenstructure assignment problem for linear time-invariant systems. Based on a complete parametric solution of parametric generalized Sylvester matrix equation, a controller design method is proposed to guarantee a low sensitivity of the closed-loop eigenvalues. The observer state feedback structure is considered for output feedback control design. An example of control for a satellite attitude system is used to demonstrate the usefulness of the proposed approach.

Keywords

artificial satellites; attitude control; control system synthesis; eigenvalues and eigenfunctions; feedback; linear systems; sensitivity analysis; closed-loop eigenvalue; linear parameter varying system; linear time-invariant system; low eigenvalue sensitivity eigenstructure assignment; observer state feedback structure; output feedback control design; parametric generalized Sylvester matrix equation; satellite attitude system; Sensitivity; Eigenstructure Assignment; Linear Parameter Varying systems; Low Eigenvalue Sensitivity; Observer State Estimate Feedback; Sylvester Matrix Equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control (CONTROL), 2012 UKACC International Conference on

Conference_Location

Cardiff

Print_ISBN

978-1-4673-1559-3

Electronic_ISBN

978-1-4673-1558-6

Type

conf

DOI

10.1109/CONTROL.2012.6334624

Filename

6334624