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Sampled-data observers for delay systems and hyperbolic PDE-ODE loops
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DOI：10.1016/j.automatica.2020.109349.png)
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摘要
En 中文
This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output timedelays. The obtained results can be applied to time delay systems of strict-feedback structure, transport Partial Differential Equations (PDEs) with nonlocal terms, and feedback interconnections of Ordinary Differential Equations with a transport PDE. The proposed design approach consists in exploiting any existing observer that features robust exponential convergence of the error when continuous-time output measurements are available. The (continuous-time) observer is then modified, mainly by adding an inter-sample output predictor, to compensate for the effect of data-sampling. Using small-gain analysis, we show that robust exponential stability of the error is preserved, provided the sampling period is not too large. The results are applied to a chemical reactor and to the class of triangular globally Lipschitz delay systems. (c) 2020 Published by Elsevier Ltd.
Keyword:
Nonlinear observers
Sampled-data observers
Delay systems
Inter-sample predictor
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期刊
IF:
5.9
论文数:
1.2W
被引数:
5.2W
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