Design of Asymptotically Stabilizing State Feedback Controllers for 2-D Discrete Control Systems

The paper is aimed to establish a feedback controller design procedure for a relatively general type of 2-D (2-dimensional) discrete control systems be asymptotically stable. To achieve this purpose, the system represented by the system of partial difference equations is handled on the grounds of the Lagrange method. Briefly, the controllers are required to diagonalize the matrices of the set of partial difference equations describing the resulting feedback control system. The results are gathered in a controller design algorithm. Finally, a numerical example is given to show the mechanics of the controller design procedure.