一般模型2-D系统的观测器设计理论
A Theory to the Observers Design for 2-D Systems
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摘要: 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.Abstract: 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.
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Key words:
- 2-D systems /
- observers /
- asymptotic stability /
- local controllability /
- sparation property theorem
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