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该文讨论了2-D一般模型(2DGM)在标准边界条件下的渐近观测器的存在性条件及其设计问题.为此,首先将由Bisiacco等人在1985年发展起来的相应于对角边界条件的2-D渐近稳定性理论推广到了具有标准边界条件的2-D一般模型.在此基础上,借助于局部能控性概念,建立了一系列十分类似于1-D情形的观测器的存在条件,从这些存在条件出发也可以得到相应的观测器设计算法,最后还得出了2DGM的分离性定理.
This paper discusses the existence conditions and design problems of asymptotic observers for 2-D general model (2DGM) under standard boundary conditions. To this end, the 2-D asymptotic stability theory corresponding to diagonal boundary conditions developed by Bisiacco et al. In 1985 is first extended to a 2-D general model with standard boundary conditions. On this basis, with the help of the concept of local controllability, we establish a series of observer existence conditions that are very similar to 1-D cases. From these existing conditions, we can get the corresponding observer design algorithm. Finally, The 2DGM separation theorem.