14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper FrB5.5

Mårtensson, Jonas (KTH), Hjalmarsson, Håkan (KTH)

Robust Input Design Using Sum of Squares Constraints

Scheduled for presentation during the Invited Session "Input and Perturbation Signal Design for System Identification II" (FrB5), Friday, March 31, 2006, 16:50−17:10, Mulubinba Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on September 24, 2018

Keywords Input and Excitation Design

Abstract

The objective of this paper is to illustrate how recent advances in convex programming can be used in input design in system identification. It is shown that sum of squares techniques and a recent generalization of the KYP lemma can be used to transform input design problems with frequency dependent bounds on the frequency function to convex optimization problems. Another important problem that can be handled with sum of squares is robust input design where initial uncertainty in the true parameters are accounted for.