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Data classification and parameter estimation for the identification of piecewise affine models

Bemporad, Alberto and Garulli, Andrea and Paoletti, Simone and Vicino, Antonio Data classification and parameter estimation for the identification of piecewise affine models. In: Decision and Control Conference. IEEE, 14-17 December 2004 , pp. 20-25. ISBN 0-7803-8682-5 (2004)

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This paper proposes a three-stage procedure for parametric identification of piece wise affine auto regressive exogenous (PWARX) models. The first stage simultaneously classifies the data points and estimates the number of submodels and the corresponding parameters by solving the MIN PFS problem (partition into a minimum number of feasible subsystems) for a set of linear complementary inequalities derived from input-output data. Then, a refinement procedure reduces misclassifications and improves parameter estimates. The last stage determines a polyhedral partition of the regressor set via two-class or multi-class linear separation techniques. As a main feature, the algorithm imposes that the identification error is bounded by a fixed quantity δ. Such a bound is a useful tuning parameter to trade off between quality of fit and model complexity. Ideas for efficiently addressing the MIN PFS problem, and for improving data classification are also discussed in the paper. The performance of the proposed identification procedure is demonstrated on experimental data from an electronic component placement process in a pick-and-place machine.

Item Type: Book Section
Identification Number: 10.1109/CDC.2004.1428600
Uncontrolled Keywords: data classification; greedy algorithm; identification; multiclass linear separation technique; nonlinear dynamic system; parameter estimation; piece wise affine auto regressive exogenous model; autoregressive processes; greedy algorithms; nonlinear dynamical systems; parameter estimation; pattern classification; piecewise constant techniques
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:53
Last Modified: 04 Aug 2011 07:29
URI: http://eprints.imtlucca.it/id/eprint/566

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