Abstract
This paper deals with the problem of constructing model-reference adaptive control for Attasi-type two-dimensional systems. This is the problem of synthesizing the compensator for an unknown 2D system so that the tracking error between the output of the process and the output of the prescribed reference model, which is also defined over 2D domain, is regulated to zero asymptotically.
First we derive a 2D parametrized representation. It is constructed with a kind of 2D state variable filters, those are known, and unknown system parameters. Then we design a model reference adaptive control system using this representation. The vertical-type adaptive control system and the horizontaltype adaptive control system are constructed according to the direction of the convergence of parameter adaptive laws.
These results are applied to solving the problem of adaptive image processing, and adaptive control for some infinite dimensional systems such as distributed parameter systems and time-delay systems.
