Boundary Observers for Boundary Control Systems
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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 one-dimensional heat equation is considered as an example.
KeywordsBoundary control systems Boundary observers
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