HOSVD based canonical form of polytopic dynamic models

Authors:
Péter Baranyi;László Szeidl;Péter Várlaki
Affiliations:
Computer and Automation Research Institute, Systems and Control Lab, Budapest, Hungary;Budapest Tech., John von Neumann Faculty on Informatics, Budapest, Hungary;Budapest Univ. of Tech. and Econ., Dept. of Chassis and Lightweight Structures, Budapest, Hungary
Venue:
MACMESE'07 Proceedings of the 9th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2007

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Abstract

This paper defines a canonical form of linear parameter varying models. This canonical form extracts its most important invariant characteristics. The paper also investigates the numerical reconstructability of the canonical form by a tractable uniform method executable in a routine like fashion. In this regard, the paper presents various convergency theorems for given numerical constrains of the reconstruction. The paper also presents an example to study the canonical form and its uniform rather simply executable numerical reconstruction.