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Synthesis of Observers for Linear Systems of Neutral Type

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Two types of observers are proposed for linear autonomous differential-difference systems of neutral type. The first observer can be applied to completely identifiable systems (generalization of the spectral observability property… Click to show full abstract

Two types of observers are proposed for linear autonomous differential-difference systems of neutral type. The first observer can be applied to completely identifiable systems (generalization of the spectral observability property to systems of neutral type), and it asymptotically exactly reconstructs the current state of the system. The second observer can be applied to systems without the above-cited property. The estimation error of the second observer is described, and conditions under which it asymptotically exactly reconstructs the current state of the system are proposed, as well as conditions under which the estimation error is bounded. The results are illustrated with examples.

Keywords: linear systems; observers linear; synthesis observers; neutral type; systems neutral

Journal Title: Differential Equations
Year Published: 2019

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