Feedback design techniques for linear multivariable 2-D systems

Abstract

This paper is devoted to the area of feedback design techniques for linear multivariable 2-D (two-dimensional) systems. The motivation for developing 2-D feedback design techniques is essentially the same as that for 1-D systems, namely, to have access to design procedures or algorithms which will permit one to determine an appropriate feedback controller which, when applied to the open-loop system, to yield a closed-loop system with desirable preassigned characteristics. This paper constitutes an effort in giving a brief review of the main 2-D feedback design problems that have been investigated up to now. These problems may be grouped into three categories as follows: The eigenvalue assignment problem, the exact model-matching problem and the transfer function factorization problem. The approach followed in solving these problems is based on the idea of applying, whenever possible, similar techniques to those already known for 1-D systems, so that the transition from 1-D to 2-D controller design to be as simple as possible.