Observers for a class of 2-D filters

In this paper, a 2-D observer is proposed for 2-D systems of the Fornasini-Marchesini type. Conditions are given for the existence of the proposed observer where both the case of known and unknown boundary conditions are considered. Design equations are developed for calculation of the observer matrices. Conditions are also given for being able to choose the form of the observer in the simple form for 2-D systems proposed by Attasi. Finally, it is shown how the proposed observer can be used in a feedback scheme to stabilize a 2-D filter having a state-space model of the Attasi type.