Design of observers for two-dimensional systems

This paper extends the familiar 1-D concepts of observer designs to the design of observers for 2-D systems described by Roesser´s model. Both full-order and reduced-order observers are considered. Extensions of 1-D concepts to 2-D is non-trivial in view of the requirement that state transformations for 2-D systems have to be block diagonal in order to preserve their input-output properties. Another issue addressed in this paper is the required asymptotic stability property of the 2-D observers. To maintain tractability in asymptotic stability analysis, we consider the class of 2-D observers with separable characteristic polynomials. Illustrative examples are provided.