Method for estimating quantified dynamic threshold confidence interval of three strapdown inertial measurement units

A technology of confidence interval and strapdown inertial group, which is applied in three-dimensional position/course control, non-electric variable control, vehicle position/route/height control, etc., to achieve high confidence and easy implementation on the fly

Inactive Publication Date: 2016-08-24
BEIJING AEROSPACE AUTOMATIC CONTROL RES INST +1
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is: to overcome the deficiencies of the prior art, to provide a method for estimating the confidence interval of the quantitative dynamic threshold of three strapdown inertial groups, and to solve the problem of the interval estimation accuracy of the quantitative dynamic threshold

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  • Method for estimating quantified dynamic threshold confidence interval of three strapdown inertial measurement units

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Embodiment Construction

[0020] The present invention will be described in further detail below in conjunction with the accompanying drawings. mainly includes:

[0021] 1. Quantile definition:

[0022] There are three different names for quantiles, namely α quantile, upper α quantile and bilateral α quantile, which are defined as follows:

[0023] Let the distribution function of the random variable X be F(X), the real number α satisfies 0<α<1,

[0024] The α quantile is such that P{Xα}=F(P α )=number of α P α ;

[0025] The upper α quantile is the number λ that makes P{X<λ}=1-F(λ)=α;

[0026] The two-sided α quantiles are respectively such that P{X1}=F(λ 1 )=number λ of 0.5α 1 , and make P{X2}=1-F(λ 2 )=number λ of 0.5α 2 .

[0027] 2. Generate ballistic data:

[0028] The ballistic data with the three strapdown inertial error model generated by the Monte Carlo shooting method is used as the sample data;

[0029] 3. Calculate the probability of occurrence of each sample data

[0030] The...

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Abstract

A method for estimating a quantified dynamic threshold confidence interval of three strapdown inertial measurement units is a method for estimating a threshold confidence interval based on a quantile method. The method includes defining a quantile, taking trajectory data, with three strapdown inertial measurement units error model, generated through the Monte Carlo target shooting method, as sample data, ranking the sample data in an ascending way according to the numerical magnitude, merging same values, calculating the proportion the appearance frequency of each datum in original sample data to the total data to obtain the appearance probability of each sample datum, and finally estimating the threshold confidence interval. The method solves confidence interval of data that do not comply with abnormal distribution, and is effectively applicable to interval estimation of a quantified dynamic threshold. The method has the advantages of high confidence, simple and easy use, and easy realization on a trajectory.

Description

technical field [0001] The invention belongs to the field of high-reliability flight navigation guidance and control of large-scale vehicles, and relates to a three-strapdown inertial group quantitative dynamic threshold confidence interval estimation method. Background technique [0002] In the future, large-scale launch vehicles will have higher requirements for reliability and safety. As the nerve center of the launch vehicle, the control system plays a decisive role in the performance of the entire launch vehicle. The strapdown inertial group is an important part of the guidance control, and its redundant design can greatly improve the reliability. [0003] For the three-strapdown inertial group redundant system, the threshold design is an important part of the redundant system design. A dynamic and reasonable threshold design method can ensure ease of use as much as possible and improve reliability at the same time. At present, most of the dynamic threshold confidence...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05D1/10
CPCG05D1/102
Inventor 徐国强曹洁徐帆巩庆海李学峰尚腾
Owner BEIJING AEROSPACE AUTOMATIC CONTROL RES INST
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