A Distributed State Filtering Method Based on Square Root Volume Measurement Weighted Consistency
A square root and distributed technology, applied in the direction of location information-based services, specific environment-based services, complex mathematical operations, etc., can solve the problem of inability to perform the square root operation of the filter error covariance matrix, large amount of calculation, and limited computer word length truncation Error and other problems, to solve the sensor network distributed nonlinear state filtering problem, improve numerical stability, and improve the effect of consistent convergence speed
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[0015] The present invention will be described in further detail below in conjunction with the accompanying drawings. With reference to the accompanying drawings of the description, the target nonlinear state filtering in the present invention is divided into the following steps:
[0016] 1 Problem description
[0017] Without loss of generality, consider nonlinear discrete-time systems
[0018] x k =f(x k-1 )+w k-1 (1)
[0019] z i,k =h i (x k )+v i,k (2)
[0020] in, Respectively represent the target state at time k and the measurement of sensor i, where n x is the state dimension, is the measurement dimension of sensor i; f( ) and h i ( ) respectively represent the nonlinear system function and measurement function, and the process noise and measurement noise Both are zero-mean Gaussian white noise, that is, w k ~N(0,Q k ), v i,k ~N(0,R i,k ).
[0021] The sensor network discussed in the present invention is composed of sensing nodes and communicat...
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