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Fixed-order FIR approximation of linear systems from quantized input and output data

Cerone, Vito and Piga, Dario and Regruto, Diego Fixed-order FIR approximation of linear systems from quantized input and output data. Systems & Control Letters, 62 (12). 1136 - 1142. ISSN 0167-6911 (2013)

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Abstract The problem of identifying a fixed-order {FIR} approximation of linear systems with unknown structure, assuming that both input and output measurements are subjected to quantization, is dealt with in this paper. A fixed-order {FIR} model providing the best approximation of the input–output relationship is sought by minimizing the worst-case distance between the output of the true system and the modeled output, for all possible values of the input and output data consistent with their quantized measurements. The considered problem is firstly formulated in terms of robust optimization. Then, two different algorithms to compute the optimum of the formulated problem by means of linear programming techniques are presented. The effectiveness of the proposed approach is illustrated by means of a simulation example.

Item Type: Article
Identification Number: 10.1016/j.sysconle.2013.09.012
Uncontrolled Keywords: FIR models; Linear programming; Quantized identification; Robust optimization
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 14:08
Last Modified: 13 Jan 2015 14:08
URI: http://eprints.imtlucca.it/id/eprint/2472

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