Title :
Control relevant identification for H∞-norm based performance specifications
Author :
De Callafon, Raymond A. ; Van den Hof, Paul M J
Author_Institution :
Mech. Eng. Syst. & Control Group, Delft Univ. of Technol., Netherlands
Abstract :
For consecutive model-based control design, approximate identification of linear models should be performed on the basis of a feedback-relevant criterion, compatible with the control design. For an H∞-norm based control design, a procedure is presented to estimate a possibly unstable and feedback controlled plant by using an H∞-norm based feedback-relevant identification criterion. It is shown that the formulated identification problem can be handled by taking (noisy) closed loop frequency domain measurements of the plant and fitting a model of a prespecified McMillan degree, which is parametrized in a stable factorization, using a certain nonlinear constrained minimization. The procedure is illustrated by an example
Keywords :
H∞ control; approximation theory; control system synthesis; feedback; frequency-domain synthesis; identification; nonlinear programming; performance index; H∞-norm based control design; H∞-norm based performance specifications; approximate identification; consecutive model-based control design; control relevant identification; feedback-relevant identification criterion; linear models; noisy closed-loop frequency-domain measurements; nonlinear constrained minimization; prespecified McMillan degree model; Adaptive control; Control design; Control system synthesis; Frequency domain analysis; Frequency estimation; Frequency response; H infinity control; Linear feedback control systems; Mechanical engineering; Robust control;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479127