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Computational load reduction in bounded error identification of Hammerstein systems

Cerone, Vito and Piga, Dario and Regruto, Diego Computational load reduction in bounded error identification of Hammerstein systems. IEEE Transactions on Automatic Control , 58 (5). pp. 1317-1322. ISSN 0018-9286 (2013)

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Abstract

In this technical note we present a procedure for the identification of Hammerstein systems from measurements affected by bounded noise. First, we show that computation of tight parameter bounds requires the solution to nonconvex optimization problems where the number of decision variables increases with the length of the experimental data sequence. Then, in order to reduce the computational burden of the identification problem, we propose a procedure to relax the formulated problem into a collection of polynomial optimization problems where the number of variables does not depend on the number of measurements. Advantages of the presented approach with respect to previously published results are discussed and highlighted by means of a simulation example.

Item Type: Article
Identification Number: 10.1109/TAC.2012.2223334
Uncontrolled Keywords: Convex relaxation; Hammerstein systems; parameter bounds; set-membership identification
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 13 Jan 2015 14:01
Last Modified: 13 Jan 2015 14:01
URI: http://eprints.imtlucca.it/id/eprint/2471

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