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Data‐driven model reference control with asymptotically guaranteed stability
Author(s) -
van Heusden Klaske,
Karimi Alireza,
Bonvin Dominique
Publication year - 2011
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1212
Subject(s) - parameterized complexity , control theory (sociology) , controller (irrigation) , stability (learning theory) , convex optimization , noise (video) , computer science , optimization problem , mathematical optimization , regular polygon , mathematics , control (management) , algorithm , geometry , artificial intelligence , machine learning , agronomy , image (mathematics) , biology
This paper presents a data‐driven controller tuning method that includes a set of constraints for ensuring closed‐loop stability. The approach requires a single experiment and can also be applied to nonminimum‐phase and unstable systems. The tuning scheme generates an estimate of the closed‐loop output error that is used to minimize an approximation of the model reference control problem. The correlation approach is used to deal with the influence of measurement noise. For linearly parameterized controllers, this leads to a convex optimization problem. A sufficient condition for closed‐loop stability is introduced, which can be included in the optimization problem for control design. As the data length tends to infinity, closed‐loop stability is guaranteed. The quality of the estimated controller is analyzed for finite data length. The effectiveness of the proposed method is demonstrated in simulation as well as experimentally on a laboratory‐scale mechanical setup. Copyright © 2010 John Wiley & Sons, Ltd.