Dynamic Decoupling of 2-D Systems in State-space: a General Simple Approach

This paper discusses the problem of designing a linear state feedback dynamic controller for single-input, single-output decoupling of linear multivariable 2-D systems. The method presented uses a general transformation which reduces the 2-D system to a 1-D system on which the analysis is done. The necessary and sufficient condition for decoupling is established and the class of all feedback matrices, which decouple the system, is characterized. A synthesis procedure is proposed and an example illustrates the proposed method.