TY - GEN
T1 - Identification of LPV state space systems by a separable least squares approach
AU - Lopes Dos Santos, P.
AU - Azevedo-Perdicoúlis, T. P.
AU - Ramos, J. A.
AU - Martins De Carvalho, J. L.
AU - Rivera, Daniel
PY - 2013
Y1 - 2013
N2 - In this article, an algorithm to identify LPV State Space models is proposed. The LPV State Space system is in the companion reachable canonical form. Both the state matrix and the output vector coefficients are linear combinations of a set of nonlinear basis functions dependent on the scheduling signal. This model structure, although simple, can describe accurately the behaviour of many nonlinear systems by an adequate choice of the scheduling signal. The identification algorithm minimises a quadratic criterion of the output error. Since this error is a linear function of the output vector parameters, a separable nonlinear least squares approach is used to minimise the criterion function by a gradient method. The derivatives required by the algorithm are the states of LPV systems that need to be simulated at every iteration. The effectiveness of the algorithm is assessed by two simulated examples.
AB - In this article, an algorithm to identify LPV State Space models is proposed. The LPV State Space system is in the companion reachable canonical form. Both the state matrix and the output vector coefficients are linear combinations of a set of nonlinear basis functions dependent on the scheduling signal. This model structure, although simple, can describe accurately the behaviour of many nonlinear systems by an adequate choice of the scheduling signal. The identification algorithm minimises a quadratic criterion of the output error. Since this error is a linear function of the output vector parameters, a separable nonlinear least squares approach is used to minimise the criterion function by a gradient method. The derivatives required by the algorithm are the states of LPV systems that need to be simulated at every iteration. The effectiveness of the algorithm is assessed by two simulated examples.
UR - http://www.scopus.com/inward/record.url?scp=84902337776&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2013.6760518
DO - 10.1109/CDC.2013.6760518
M3 - Conference contribution
AN - SCOPUS:84902337776
SN - 9781467357173
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4104
EP - 4109
BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 52nd IEEE Conference on Decision and Control, CDC 2013
Y2 - 10 December 2013 through 13 December 2013
ER -