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标题：Effect of Sensor Noise on Estimation of Diffusion * * The financial support of the National Science and Engineering Research Council of Canada Discovery Grant program for the research discussed in this article is gratefully acknowledged.
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作者：Minxin Zhang ; Kirsten Morris
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：8
页码：60-65
DOI：10.1016/j.ifacol.2016.07.419
语种：English
出版社：Elsevier
摘要：AbstractA Kalman filter is commonly used for state estimation. It is optimal in that the variance of the error is minimized by the estimator. In this paper the problem of optimal sensor location is combined with estimator design to obtain a sensor placement that minimizes the error variance. The question of whether of a larger number of inaccurate sensors, that is those with large noise variance, can provide as good an estimate as a single highly accurate (but probably more expensive) sensor. This question can be investigated with the assumption that all the selected sensors are placed optimally. Estimation of the state of a one-dimensional diffusion equation with three different disturbances is examined in this context. Despite the difference among disturbances, similar proportional relations between the sensor noise variance and the estimation error are observed in numerical simulations. Furthermore, it appears that multiple low quality sensors can lead to better estimation than a single high quality sensor, provided that enough sensors are used.
关键词：KeywordsKalman filterestimationalgebraic Riccati equationsensor noisesensor selectionoptimal sensor locationdistributed parameter systempartial differential equation