Abstract
A new duality concept is studied in this paper. The general frame of the conflict between parametric identification and control quality is recalled and then precised step by step. In order to get a rigorous mathematical definition of this duality an inherently parallel bayesian identification method is used ; its convergence properties are set by a theorem. Robust state-estimation through a Kalman filter is linked to the previous bayesian parametric identification ; a first sense of dual-effect clearly appears. Robust control versus identification can then be studied in the last part : the mathematical formulation of duality is given for a class of adaptive control ; robustness and identification qualities are introduced and their theoretical expressions are given with respect to a suitable criterion.
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© 1982 Springer-Verlag
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Gauvrit, M. (1982). Dualite : Identification bayesienne — Commande robuste. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044403
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DOI: https://doi.org/10.1007/BFb0044403
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