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L 2 –Optimal Fopdt Models of High–Order Transfer Functions
Author(s) -
Casagrande Daniele,
Krajewski Wieslaw,
Viaro Umberto
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1354
Subject(s) - transfer function , mathematics , nonlinear system , dead time , interpolation (computer graphics) , set (abstract data type) , simple (philosophy) , function (biology) , control theory (sociology) , mathematical optimization , computer science , engineering , statistics , physics , control (management) , artificial intelligence , electrical engineering , animation , philosophy , computer graphics (images) , epistemology , quantum mechanics , evolutionary biology , biology , programming language
Necessary conditions for the L 2 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.