A Necessary and Sufficient Condition for Input-Output Realization of Switched Affine State Space Models
2008 (English)In: Proceedings of the 47th IEEE Conference on Decision and Control, 2008, 935-940 p.Conference paper (Refereed)
This paper presents a necessary and sufficient condition under which a discrete-time switched affine (SWA) state space model admits equivalent representations in the class of SWA input-output models. In particular, it is shown that observability is not a necessary requirement for input-output realization of SWA models. When an equivalent input-output representation exists, a constructive procedure is presented to derive both its parameters and the switching constraints. Numerical examples illustrate and motivate the presented equivalence result.
Place, publisher, year, edition, pages
2008. 935-940 p.
Discrete time systems, Matrix algebra, Observability, State-space methods, Time-varying systems
Engineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-89050DOI: 10.1109/CDC.2008.4739176ISBN: 978-1-4244-3124-3ISBN: 978-1-4244-3123-6OAI: oai:DiVA.org:liu-89050DiVA: diva2:606864
47th IEEE Conference on Decision and Control, Cancun, Mexico, December, 2008