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Suboptimal model reduction via least-square approximation of time-response by its derivatives and integrals

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3 Author(s)
Vilbe, P. ; Univ. de Bretagne Occidentale, Brest, France ; Calvez, L.C. ; Sevellec, M.

The reduction of an SISO system is formulated as the minimisation of the l2 criterion. Expansions of a time-response function in terms of its derivatives and integrals are proposed. Approximation of the quadratic criterion reduces the nonlinear determination of the denominator to a simple linear system resolution. An efficient method for evaluation of the required scalar products of repeated integrals and derivatives is proposed.

Published in:

Electronics Letters  (Volume:28 ,  Issue: 2 )