Technical Communique: Gradient expressions for a closed-loop identification scheme with a tailor-made parametrization

Authors:
Franky De Bruyne;Brian D. O. Anderson;Michel Gevers;Natasha Linard
Affiliations:
Department of Systems Engineering and Cooperative Research Centre for Robust and Adaptive Systems, RSISE, The Australian National University, Canberra ACT 0200, Australia;Department of Systems Engineering and Cooperative Research Centre for Robust and Adaptive Systems, RSISE, The Australian National University, Canberra ACT 0200, Australia;CESAME, Centre for Systems Engineering and Applied Mechanics, Université Catholique de Louvain, Bâtiment Euler, Avenue Georges Lematre 4-6, 1348 Louvain-La-Neuve, Belgium;Department of Systems Engineering and Cooperative Research Centre for Robust and Adaptive Systems, RSISE, The Australian National University, Canberra ACT 0200, Australia
Venue:
Automatica (Journal of IFAC)
Year:
1999

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Abstract

In this paper, we present gradient expressions for a closed-loop parametric identification scheme. The method is based on the minimization of a standard identification criterion and a parametrization that is tailored to the closed-loop configuration. It is shown that for both linear and nonlinear plants and controllers, the gradient signals can be computed exactly.