6 March 2002 Research on range observability of two-dimensional motion target based on bearing measurements of IR sensor
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Abstract
Considering the target traveling with a constant acceleration in the 2-dimensional space, a mathematical observability criterion of the target states is established in this paper. In the middle of obtaining the criterion, first, the non-linear bearing measurement equation is changed into linear framework by subtly making use of some mathematical transformations. Next, a high-order non-linear differential equation is converted into a set of one-order linear differential equations by utilizing some characteristics of the full-rank matrix. At the end of this paper, the observability criterion given by some previous researchers for the target traveling in a 2-dimensional space with a constant velocity is directly deduced from the criterion presented by this paper.
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Guosheng Yang, Guosheng Yang, Jie Chen, Jie Chen, Lihua Dou, Lihua Dou, Chaozhen Hou, Chaozhen Hou, } "Research on range observability of two-dimensional motion target based on bearing measurements of IR sensor", Proc. SPIE 4731, Sensor Fusion: Architectures, Algorithms, and Applications VI, (6 March 2002); doi: 10.1117/12.458393; https://doi.org/10.1117/12.458393
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