Abstract
In our preceding studies, we showed a design method for constructing adaptive control systems for Attasi-type 2-dimensional systems and then constructed a kind of learning control system using the notion of 2-dimensional systems. But in those approaches, the convergence properties of adaptive processes on 2-dimensional plane are restricted to one direction only.
In the present paper, we propose a design method for constructing adaptive control systems which have convergence properties of two different directions on 2-dimensional plane. To realize those systems, we introduce two kinds of adaptive laws, that is, interlace-type adaptive laws and hybrid-type adaptive laws, into one adaptive control system, and make it possible to improve one adaptive process with interlace-type adaptive laws, adaptively by utlizing the other adaptive process with hybrid-type adaptive laws. In the following, we apply this technique (named “2-dimensional adaptive control”) to Attasi-type 2-dimensional systems and construct a more skillful learning control system where adaptive processes themselves can be improved adaptively. Finally, some simulation studies show the effectiveness of the proposed method.
