Pole assignment for uncertain systems in specified regions by static output feedback

Author

Eisinberg, E. ; Franze, G. ; Muraca, P.

Author_Institution

D.E.I.S., Univ. della Calabria, Rende, Italy

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

2064

Lastpage

2069

Abstract

In this paper, the regional pole placement is studied. An analysis of robustness with respect to unstructured uncertainty, being 2-norm bounded, for linear systems is discussed. A bound on the maximum allowable perturbation is proposed. Moreover, a useful parameterization of such bound, based on the structure of the gain matrix and on a novel formula for computing the eigenvectors of any real matrix, is presented. Finally, the problem is formalized as an optimization one and solved by using a genetic-like algorithm. Two numerical examples show the effectiveness of the method.

Keywords

feedback; genetic algorithms; linear systems; matrix algebra; multivariable control systems; perturbation techniques; pole assignment; robust control; uncertain systems; 2-norm bounded; eigenvector; gain matrix; genetic-like algorithm; linear system; maximum allowable perturbation; optimization; parameterization; pole assignment; real matrix; regional pole placement; robustness; static output feedback; uncertain system; unstructured uncertainty; Closed loop systems; Eigenvalues and eigenfunctions; Europe; Optimization; Output feedback; Robustness; Vectors; Control and Optimization; Multivariable Control; Robust Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076226