Multi‐rate observer design for process monitoring using asynchronous inter‐sample output predictions
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© 2017 American Institute of Chemical Engineers In this article, the problem of observer design in linear multi-output systems with asynchronous sampling is addressed. The proposed multi-rate observer is based on a continuous-time Luenberger observer design coupled with an inter-sample predictor for each sampled measurement, which generates an estimate of the output in between consecutive measurements. The sampling times are not necessarily uniformly spaced, but there exists a maximum sampling period among all the sensors. Sufficient and explicit conditions are derived to guarantee exponential stability of the multi-rate observer. The proposed framework of multi-rate observer design is examined through a mathematical example and a gas-phase polyethylene reactor. In the latter case, the amount of active catalyst sites is estimated, with a convergence rate that is comparable to the case of continuous measurements. © 2017 American Institute of Chemical Engineers AIChE J, 63: 3384–3394, 2017.
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