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Optimisation-based modelling of LPV systems using an -objective
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2014 (English)In: International Journal of Control, ISSN 0020-7179, E-ISSN 1366-5820, Vol. 87, no 8, 1536-1548 p.Article in journal (Refereed) Published
Abstract [en]

A method to identify linear parameter varying models through minimisation of an -norm objective is presented. The method uses a direct nonlinear programming approach to a non-convex problem. The reason to use -norm is twofold. To begin with, it is a well-known and widely used system norm, and second, the cost functions described in this paper become differentiable when using the -norm. This enables us to have a measure of first-order optimality and to use standard quasi-Newton solvers to solve the problem. The specific structure of the problem is utilised in great detail to compute cost functions and gradients efficiently. Additionally, a regularised version of the method, which also has a nice computational structure, is presented. The regularised version is shown to have an interesting interpretation with connections to worst-case approaches.

Place, publisher, year, edition, pages
Taylor andamp; Francis: STM, Behavioural Science and Public Health Titles , 2014. Vol. 87, no 8, 1536-1548 p.
Keyword [en]
H2 optimisation; LPV modelling; model reduction
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-107437DOI: 10.1080/00207179.2013.878477ISI: 000335865400007OAI: oai:DiVA.org:liu-107437DiVA: diva2:724339
Available from: 2014-06-12 Created: 2014-06-12 Last updated: 2017-12-05

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