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Boundary Observers for Boundary Control Systems

机译:边界控制系统的边界观察者

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The paper studies the output observation problem for a class of linear distributed parameter systems where both the plant and the observer are modelled as boundary input/output systems. The presented results provide sufficient conditions for the plant and the observer which guarantee the asymptotic output observation to hold. These conditions have the form of three linear operator equations, with one of them being a homogeneous algebraic Sylvester equation, and provide some indication for the general observer design procedure. The results partly extend and generalize the classical approach to linear observer design. The onedimensional heat equation is considered as an example.
机译:本文研究了一类线性分布式参数系统的输出观察问题,其中工厂和观察者都被建模为边界输入/输出系统。 所提出的结果为植物和观察者提供了足够的条件,保证了渐近产出观察的抗性输出观察。 这些条件具有三个线性操作员方程的形式,其中一个是均匀代数Sylvester方程,并为普通观察者设计程序提供一些指示。 结果部分扩展并概括了线性观测器设计的经典方法。 oneedimsional热方程被认为是一个例子。

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