Performance with regulation constraints

Author

Stoorvogel, Anton A. ; Saberi, Ali ; Sannuti, Peddapullaiah

Author_Institution

Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands

Volume

5

fYear

1998

fDate

21-26 Jun 1998

Firstpage

2900

Abstract

We study the problem where we have a regulation (asymptotic tracking) requirement together with a performance requirement. Typically we measure performance by the H₂ or H_∞ norm of a chosen transfer function matrix, although any other norm such as the L₁ norm could also be used. In the case when the performance is measured by the H₂ norm, there is no loss in performance due to the regulation constraint. On the other hand, when the performance is measured by the H_∞ norm, there exists in general certain loss of performance due to the regulation constraint, and we explicitly characterize such a loss in terms of a static optimization problem

Keywords

H^∞ control; closed loop systems; continuous time systems; feedback; linear systems; optimisation; state-space methods; transfer function matrices; H_∞ control; closed loop systems; continuous time systems; feedback; linear systems; optimization; regulation constraints; state space; transfer function matrix; Computational Intelligence Society; Computer science; Constraint optimization; Control systems; Hydrogen; Loss measurement; Mathematics; Performance loss; Regulators; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.688387

Filename

688387