A Theory to the Observers Design for 2-D Systems
一般模型2-D系统的观测器设计理论

In this paper, we discuss the I problems of the existence conditions and the corresponding design approach for the asymptotic state observers of 2-D general state space models (2DGM) with the standard boundary condition (SBC). To this lend, we firstly generalize the asymptotic stability theory developed by Bisiceo (1985) under the diagonal boundary condition to the 2DGM with SBC. Then based on this theory and the concept of local controllability, a series of existence conditions for the asymptotic state observers of 2DGM are proposed. These conditions are analogous to the corresponding well-known results in 1-D case. Finally the related design methods and the 2-D separation property theorem are also presented.