Decoupling of linear multivariable two-dimensional systems via state feedback

The paper considers the problem of single-input single-output decoupling of linear multivariable two-dimensional systems. In particular, a method is presented which yields the decoupling state feedback controller matrices, which, when applied to the open-loop system, yield a closed-loop system whose transfer-function matrix is diagonal and nonsingular. This, in effect, simplifies the multi-input multi-output original system to a number of single-input single-output systems. Sufficient conditions are established for the state feedback decoupling problem to have a solution. Two examples are included to illustrate the proposed decoupling method.