Closed form solution for minimum norm model-validating uncertainty

Author

Lim, Kyong Bee

Author_Institution

Guidance & Control Branch, NASA Langley Res. Center, Hampton, VA, USA

Volume

3

fYear

1997

fDate

4-6 Jun 1997

Firstpage

1929

Abstract

A methodology in which structured uncertainty models are directly constructed from measurement data for use in robust control design of multivariable systems is proposed. The formulation allows a general linear fractional transformation uncertainty structure connections with respect to a given nominal model. Existence conditions are given, and under mild assumptions, a closed-form expression for the smallest norm structured uncertainty that validates the model is given. The uncertainty bound computation is simple and Is formulated for both open and closed loop systems

Keywords

control system synthesis; multivariable control systems; robust control; uncertain systems; closed form solution; closed-loop systems; linear fractional transformation uncertainty structure connections; minimum norm model-validating uncertainty; multivariable systems; open-loop systems; robust control design; structured uncertainty models; uncertainty bound; Closed loop systems; Closed-form solution; MIMO; NASA; Open loop systems; Reduced order systems; Robust control; Robustness; Time measurement; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.610921

Filename

610921