Necessary conditions for the L2 optimality of a first order plus dead time (FOPDT) model of a high-order plant are derived using classic analytic function theory. They are expressed as a set of three nonlinear equations that partly resemble the interpolation conditions valid for rational approximation. From these conditions a simple procedure to find the optimal FOPDT model is obtained. Examples taken from the relevant literature are worked out to show the performance of the method in comparison with alternative techniques.

L2–Optimal Fopdt Models of High–Order Transfer Functions

CASAGRANDE, Daniele;VIARO, Umberto
2017

Abstract

Necessary conditions for the L2 optimality of a first order plus dead time (FOPDT) model of a high-order plant are derived using classic analytic function theory. They are expressed as a set of three nonlinear equations that partly resemble the interpolation conditions valid for rational approximation. From these conditions a simple procedure to find the optimal FOPDT model is obtained. Examples taken from the relevant literature are worked out to show the performance of the method in comparison with alternative techniques.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/1105255
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