An improved nonlinear observability adaptive filtering method applied to pure azimuth tracking
An adaptive filtering, pure azimuth technology, applied in complex mathematical operations and other directions, can solve the problems of poor target tracking performance, affecting the evaluation of observability, and low observability.
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[0045] The present invention proposes an improved nonlinear observability adaptive filtering method applied to pure azimuth tracking, and its flow chart is as follows figure 1 shown, including the following steps:
[0046] (1) The traditional calculation method of observability based on Lie derivative: set the nonlinear system model as:
[0047]
[0048] According to the theory of differential geometry, the Lie derivatives of each order of h along f are:
[0049]
[0050] define at the same time Constructing Observation Spaces for Studying the Observability of Nonlinear Systems is the space generated by the expression definition Observability distribution in space, If dimdH(x 0 )=n, that is, the full rank can be judged as the system is observable; define the observability calculation matrix based on this method as: The observability of this method is δ here min (Ω),δ max (Ω) respectively refer to the minimum and maximum ...
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