Brief Some results on optimal experiment design

Authors:
Urban Forssell;Lennart Ljung
Affiliations:
Mecel AB, Box 73, SE-662 22 ímål, Sweden;Division of Automatic Control, Department of Electrical Engineering, Linköping University, SE-581 83 Linköping, Sweden
Venue:
Automatica (Journal of IFAC)
Year:
2000

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Abstract

The problem of designing the identification experiments to make them maximally informative with respect to the intended model use is studied. The focus is on how to identify models that are good for control, so called ''Identification for Control''. A main result is that we derive explicit expressions for the optimal controller and the optimal reference signal spectrum to use in the identification experiment for the case that only the misfit in the dynamics model is penalized and when a linear combination of the input and output variances is constrained.