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A multiple model adaptive dual control algorithm for stochastic systems with unknown parameters

IEEE Transactions on Automatic ControlPublished 1 August 1980
C. Wenk, Yaakov Bar‐Shalom
Citations53
SJR quartileQ1
SJR score3.80
SNIP2.59

Abstract

An adaptive dual control algorithm is presented for linear stochastic systems with constant but unknown parameters. The system parameters are assumed to belong to a finite set on which a prior probability distribution is available. The tool used to derive the algorithm is preposterior analysis: a probabilistic characterization of the future adaptation process allows the controller to take advantage of the dual effect. The resulting actively adaptive control called model adaptive dual (MAD) control is compared to two passively adaptive control algorithms-the heuristic certainty equivalence (HCE) and the Deshpande-Upadhyay-Lainiotis (DUL) model-weighted controllers. An analysis technique developed for the comparison of different controllers is used to show statistically significant improvement in the performance of the MAD algorithm over those of the HCE and DUL.

Keywords

Engineering