A class of systems for which balanced truncation is Hankel-norm optimal

Author

Mustafa, Denis

Author_Institution

Lab. for Inf. & Decision Systs., MIT, Cambridge, MA, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1943

Abstract

Balanced truncation is studied for members of a certain class of linear multivariable systems. For this class of systems, it is shown that balance truncation is Hankel-norm optimal. Various properties of balanced approximates are derived explicitly in terms of the original plant poles. For example, the H_∞-norm of the error system is precisely the inverse of the distance from the most dominant discarded pole to the origin. The results are exploited to analyze the ability of a particular low-order H_∞-controller, designed for a reduced system, to control the original high-order system

Keywords

control system analysis; controllability; linear systems; multivariable control systems; observability; poles and zeros; stability; H_∞-norm; Hankel-norm optimal; balanced truncation; controllability; error system; linear multivariable systems; low-order H_∞-controller; most dominant discarded pole; observability; stability; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Laboratories; Laplace equations; MIMO; Transfer functions; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261755

Filename

261755