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Compression Based Identification of PWA Systems
Kyoto University, Japan.
Linköping University, Department of Electrical Engineering, Electronics System. Linköping University, The Institute of Technology. University of Calif Berkeley, CA 94720 USA.
2014 (English)In: IFAC PAPERSONLINE, ELSEVIER SCIENCE BV , 2014, Vol. 47, no 3, 4985-4992 p.Conference paper, Published paper (Refereed)
Abstract [en]

Piecewise affine (PWA) models serve as an important class of models for nonlinear systems. The identification of PWA models is known to be a difficult task and often implies solving a non-convex combinatorial optimization problems. In this paper, we revisit a recently proposed PWA identification method. We do this to give a novel derivation of the identification method and to show that under certain conditions, the method is optimal in the sense that it finds the PWA function that passes through the measurements and has the least number of hinges. We also show how the alternating direction method of multipliers (ADMM) can be used to solve the underlying convex optimization problem.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2014. Vol. 47, no 3, 4985-4992 p.
Keyword [en]
Nonlinear system identification; Piecewise affine models; Alternating direction method of multipliers; Nonparametric methods
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-137420ISI: 000391107600321OAI: oai:DiVA.org:liu-137420DiVA: diva2:1095565
Conference
19th World Congress of the International-Federation-of-Automatic-Control (IFAC)
Available from: 2017-05-15 Created: 2017-05-15 Last updated: 2017-05-15

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