Input-Output Realization of Piecewise Affine State Space Models
2007 (English)In: Proceedings of the 46th IEEE Conference on Decision and Control, 2007, 3164-3169 p.Conference paper (Refereed)
This paper addresses the conversion of discrete-time single input-single output piecewise affine (PWA) models from state space to input-output form. Necessary and sufficient conditions are given for a PWA state space model to admit equivalent input-output representations. When an equivalent input-output model exists, a constructive procedure is presented to derive both its parameters and the partition of the regressors domain. It is shown that the number of modes and the number of parameters may grow considerably when converting a PWA state space model into an equivalent input-output representation. Numerical examples highlight the role of the derived necessary and sufficient conditions for input-output realization of PWA state space models.
Place, publisher, year, edition, pages
2007. 3164-3169 p.
Discrete time systems, Nonlinear control systems, State-space methods
Engineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-42218DOI: 10.1109/CDC.2007.4434310Local ID: 61636ISBN: 978-1-4244-1498-7ISBN: 978-1-4244-1497-0OAI: oai:DiVA.org:liu-42218DiVA: diva2:263073
46th IEEE Conference on Decision and Control, New Orleans, LA, USA, December, 2007