Optimisation-based modelling of LPV systems using an -objective
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
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.
H2 optimisation; LPV modelling; model reduction
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-107437DOI: 10.1080/00207179.2013.878477ISI: 000335865400007OAI: oai:DiVA.org:liu-107437DiVA: diva2:724339