Identification for control: L-2 and L-infinity methods
2001 (English)In: PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, 2001, 2701-2706 p.Conference paper (Refereed)
Identification of restricted complexity models for linear time-invariant systems is considered. A method, with ties to model reduction and the extended instrumental variable method, which uses a cost function based on cross-correlations between the prediction error and some auxiliary variable such as the input is presented. In open loop and under linear feedback, this method is able to asymptotically approximate the underlying system in L-2 or L-infinity norm without an explicit noise model under noisy conditions. Arbitrary frequency weighting, also depending on the true frequency function, can be used. The method is applied to identification of models suited for control design. It is shown that some model free methods can be fit into this framework. It is also pointed out that closed loop stability is not taken into account in the bias tuning due to the fact that L-norms are used.
Place, publisher, year, edition, pages
2001. 2701-2706 p.
, IEEE CONFERENCE ON DECISION AND CONTROL - PROCEEDINGS, ISSN 0191-2216
Research subject SRA - ICT
IdentifiersURN: urn:nbn:se:kth:diva-26595DOI: 10.1109/.2001.980679ISI: 000178362200493ISBN: 0-7803-7061-9OAI: oai:DiVA.org:kth-26595DiVA: diva2:376370
40th IEEE Conference on Decision and Control ORLANDO, FL, DEC 04-07, 2001
FunderSwedish Research Council, 621-1999-179
QC 20101210 NR 201408042010-12-102010-11-252012-01-13Bibliographically approved