Adaptive control of a class of 2-D discrete systems

In the past two decades, research on systems involving more than one independent variable, such as two-dimensional (2-D) systems, has received great attentions. Adaptive control is an effective way of controlling unknown dynamical systems. While many research results on one-dimensional adaptive control are available, little has been accomplished in the area of 2-D system theory. The main reason is due primarily to the difficult algebra of 2-D systems and the complexity of the underlying theory. In this work, we propose an indirect adaptive controller for single-input-single-output 2-D discrete systems. Analysis shows that the designed adaptive controller that consists of a parameter estimator and a linear controller can stabilize the given class of 2-D systems.