Abstract

An optimal adaptive controller for multidimensional disturbed systems is concerned in this paper. The system parameters, especially the first parameters of the controller, are unknown a prior. The one-step-ahead adaptive controller is designed based on the input matching technique and the extended least-squares (ELS) algorithm. It is shown that the system identification is consistent and the adaptive system is closed-stable globally. The adaptive controller converges to the one-step-ahead adaptive controller. Finally, some simulation examples are included to illustrate the effectiveness and efficiency of the optimal controller.

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