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.

Paoletti, S., Garulli, A., Roll, J., Vicino, A. (2008). A necessary and sufficient condition for input-output realization of switched affine state space models. In Proc. of 47th IEEE Conference on Decision and Control (pp.935-940). IEEE [10.1109/CDC.2008.4739176].

A necessary and sufficient condition for input-output realization of switched affine state space models

PAOLETTI, SIMONE;GARULLI, ANDREA;VICINO, ANTONIO
2008-01-01

Abstract

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.
2008
9781424431236
Paoletti, S., Garulli, A., Roll, J., Vicino, A. (2008). A necessary and sufficient condition for input-output realization of switched affine state space models. In Proc. of 47th IEEE Conference on Decision and Control (pp.935-940). IEEE [10.1109/CDC.2008.4739176].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/20250
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