MIMO experiment design based on asymptotic model order theory

Author

Rojas, Cristian R. ; Hjalmarsson, Hiakan ; Hildebrand, Roland

Author_Institution

ACCESS Linnaeus Center, KTH - R. Inst. of Technol., Stockholm, Sweden

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

488

Lastpage

493

Abstract

In this paper we investigate the problem of designing an input signal for a multi-input multi-output plant to minimize a control-oriented criterion. By employing Ljung´s asymptotic (in model order and sample size) covariance formulas, we determine closed form expressions for the optimal input, which provide direct insight into the effect of the principal directions and gains of the open- and closed-loop transfer functions on the kind of experiment to be applied.

Keywords

MIMO systems; closed loop systems; covariance analysis; open loop systems; transfer functions; Ljung´s asymptotic covariance formulas; MIMO experiment design; asymptotic model order theory; closed-loop transfer functions; control-oriented criterion; input signal; multi-input multi-output plant; open-loop transfer functions; Constraint theory; Cost function; Design optimization; Frequency domain analysis; Frequency response; Linear matrix inequalities; MIMO; Signal design; System identification; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399693

Filename

5399693