On robust asymptotic tracking: perturbations on coprime factors and parameterization of all solutions

Author

Corrêa, Gilberto O. ; Da Silveira, Marcos A.

Author_Institution

Lab. Nacional de Comput. Cientifica, Rio de Janeiro, Argentina

Volume

40

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

107

Lastpage

111

Abstract

The robust asymptotic tracking problem is analyzed in this paper relative to unstructured perturbations on each coprime factor of the transfer functions from the control input to the measured and controlled outputs. In each case, necessary and sufficient conditions for the existence of solutions are presented which are explicitly given in terms of problem data. Under such conditions, explicit parameterizations are given of all controllers which achieve robust asymptotic tracking, in terms of free, rational proper, and stable matrices

Keywords

asymptotic stability; perturbation techniques; robust control; tracking; transfer functions; coprime factor perturbations; free rational-proper stable matrices; necessary and sufficient conditions; robust asymptotic tracking; solution parameterization; transfer functions; unstructured perturbations; Artificial intelligence; Automatic control; Control systems; Digital control; Eigenvalues and eigenfunctions; Microprocessors; Observability; Robust control; Robustness; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.362891

Filename

362891