CN114136340A - Method for eliminating influence of misalignment angle error on initial alignment - Google Patents
Method for eliminating influence of misalignment angle error on initial alignment Download PDFInfo
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- CN114136340A CN114136340A CN202111437812.9A CN202111437812A CN114136340A CN 114136340 A CN114136340 A CN 114136340A CN 202111437812 A CN202111437812 A CN 202111437812A CN 114136340 A CN114136340 A CN 114136340A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C25/00—Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass
- G01C25/005—Manufacturing, calibrating, cleaning, or repairing instruments or devices referred to in the other groups of this subclass initial alignment, calibration or starting-up of inertial devices
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C21/00—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
- G01C21/10—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
- G01C21/12—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning
- G01C21/16—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration executed aboard the object being navigated; Dead reckoning by integrating acceleration or speed, i.e. inertial navigation
- G01C21/183—Compensation of inertial measurements, e.g. for temperature effects
- G01C21/188—Compensation of inertial measurements, e.g. for temperature effects for accumulated errors, e.g. by coupling inertial systems with absolute positioning systems
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
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Abstract
The invention discloses a method for eliminating the influence of misalignment angle error on initial alignment, which comprises the following steps: 1) acquiring an attitude angle of the carrier through a local inertial navigation system and a sub inertial navigation system; 2) acquiring attitude angle information of the local inertial navigation system and the sub inertial navigation system, outputting the attitude angle information to a specified coordinate system, and acquiring a projection difference through projection to be used as an observed quantity; 3) inputting the observed quantity into a Kalman filter, and estimating navigation calculation information errors and inertia sensitive element errors of the sub-inertial navigation system through the Kalman filter; and when the estimated error value meets the precision requirement, the estimated error value is fed back to the sub inertial navigation system, the navigation parameters of the sub inertial navigation system are corrected, the error of an inertial device is compensated, and the initial alignment is completed. The method can ensure that the sub-inertial navigation system does not need to pass through a long-time self-alignment process and a high-precision sensitive device, and can realize the quick and accurate alignment by the method.
Description
Technical Field
The invention relates to the technical field of inertial navigation, in particular to a method for eliminating influence of misalignment angle errors on initial alignment.
Background
In recent years, with the rapid development of inertial navigation technology, various tactical weapons using an inertial navigation system as a main navigation device have been developed. The inertial navigation system of the weapon equipment needs to be initially aligned on a moving base before the weapon equipment is launched from a carrier, and transfer alignment is a key technology. The inertial navigation system transfer alignment means that when the carrier navigates, an inertial navigation system (called a sub inertial navigation system) needing to be aligned on the carrier utilizes the aligned inertial navigation system (called a local inertial navigation system) on the carrierInertial navigation system) for initial alignment. Namely, the data of the local inertial navigation system is compared and matched with the corresponding data of the sub inertial navigation system. The fiducial reference data is from the local inertial navigation system in transfer alignment, so the progress of the local inertial navigation system affects the progress of the transfer alignment. However, due to the influence of factors such as installation error, lever arm effect and elastic deformation of the carrier, the sub inertial navigation and the local inertial navigation have a misalignment angleTherefore, the sub inertial navigation has a large error in navigation calculation according to the initial attitude information. For the problem, more theoretical and simulation schemes are provided at present, but the engineering practicability is very little.
Disclosure of Invention
In view of the above-mentioned shortcomings in the prior art, the present invention provides a method for eliminating the influence of misalignment angle error on initial alignment, so as to solve the problem of large initial alignment error of the sub-inertial navigation system in the prior art.
In order to solve the technical problems, the invention adopts the following technical scheme:
a method of eliminating the effect of misalignment angle error on initial alignment, comprising the steps of:
1) acquiring an attitude angle of the carrier through a local inertial navigation system and a sub inertial navigation system;
2) acquiring attitude angle information of the local inertial navigation system and the sub inertial navigation system, outputting the attitude angle information to a specified coordinate system, and acquiring a projection difference through projection to be used as an observed quantity;
3) inputting the observed quantity into a Kalman filter, and estimating navigation calculation information errors and inertia sensitive element errors of the sub-inertial navigation system through the Kalman filter; and when the estimated error value meets the precision requirement, the estimated error value is fed back to the sub inertial navigation system, the navigation parameters of the sub inertial navigation system are corrected, the error of an inertial device is compensated, and the initial alignment is completed.
Preferably, when the azimuth angle error of each installation is not more than 0.4 degrees, the azimuth data is directly bound; otherwise, transfer alignment is carried out by adopting a Kalman filtering method of speed + attitude matching.
Preferably, in the kalman filtering estimation process, the kalman filtering state quantity is:
wherein the installation error angle phi is [ phi ]x φy φz]TSatisfies the following conditions:δVEfor east velocity error, δ VNFor north velocity error, δ VUIn order to be an error in the speed in the direction of the day,in order to be an east-oriented attitude error corner,for the north-orientation attitude error angle,is the attitude error angle of the sky direction, phixFor setting the error angle x-axis, phiyTo install the error angle y-axis, phizIs the installation error angle z-axis.
Preferably, the transfer alignment is performed by using an attitude observation equation of kalman filtering, where the attitude observation equation of kalman filtering is:
wherein the attitude errorBy passingThe calculation results in that,an attitude cosine matrix of a navigation coordinate system n;inertial navigation attitude error on the carrier;is a local basis to navigation system cosine matrix; thetaJIs a local base attitude error, thetaJMuch less thanThis was taken as the observation noise.
Compared with the prior art, the invention has the following beneficial effects:
the method of the invention uses the projection difference of the output information of the local inertial navigation system and the sub inertial navigation system in the appointed coordinate system as the observed quantity, uses the Kalman filter to estimate the navigation calculation information errors of the attitude, the speed and the like of the sub inertial navigation system and the errors of the main inertial sensing elements, returns the estimated value to the sub inertial navigation system when the estimated value is stable and the estimated errors meet the precision requirement, corrects the navigation parameters and compensates the errors of the inertial elements to complete the initial alignment, and the sub inertial navigation system can realize the rapid and accurate alignment by a transfer alignment method without long-time self-alignment process and high-precision sensing elements.
Drawings
FIG. 1 is a schematic view of transfer alignment.
Detailed Description
The invention will be further explained with reference to the drawings and the embodiments.
The invention provides a method for eliminating the influence of misalignment angle error on initial alignment, which comprises the following steps:
1) and acquiring the three-axis attitude angle of the carrier through the local inertial navigation system and the sub inertial navigation system.
2) And outputting the attitude angle information acquired by the local inertial navigation system and the sub inertial navigation system to a specified coordinate system, and acquiring the difference of projections through projection as an observed quantity, namely an error angle.
3) Inputting the observed quantity into a Kalman filter, and estimating navigation calculation information errors and inertia sensitive element errors of the sub-inertial navigation system through the Kalman filter; and when the estimated error value meets the precision requirement, the estimated error value is fed back to the sub inertial navigation system, the navigation parameters of the sub inertial navigation system are corrected, the error of an inertial device is compensated, and the initial alignment is completed. Wherein the navigation computation information error comprises an attitude angle error and an azimuth angle error. The inertia sensitive element errors include gyroscope zero offset error, accelerometer zero offset error, and scale factor error.
In specific implementation, when the azimuth angle error of each installation is not more than 0.4 degrees, the azimuth data is directly bound; and when the attitude relationship between the inertial navigation and the local inertial navigation datum on the carrier cannot be guaranteed or needs to be measured or the attitude relationship between the inertial navigation and the local inertial navigation datum on the carrier is unknown at the early stage, the transfer alignment is carried out by adopting a Kalman filtering method of speed + attitude matching.
In the kalman filtering method, a kalman filtering state quantity is:
wherein the installation error angle phi is [ phi ]x φy φz]TSatisfies the following conditions:δVEfor east velocity error, δ VNFor north velocity error, δ VUIn order to be an error in the speed in the direction of the day,in order to be an east-oriented attitude error corner,for the north-orientation attitude error angle,is the attitude error angle of the sky direction, phixFor setting the error angle x-axis, phiyTo install the error angle y-axis, phizIs the installation error angle z-axis.
The following is the attitude observation equation derivation process of kalman filtering. Ideally, the attitude cosine matrix measured by the inertial navigation on the carrier and the local base inertial navigation relative to the navigation coordinate system nLocal basis to navigation system cosine matrix should be equalDue to mounting errors and various measurement errors bs≠bJ、ns≠nJNot n, according to a small angle approximation, define:
transforming the relation by coordinates to obtain:
in the formula [ theta ]cFor attitude measurement error of local inertial navigation, θ is used belowJIndicating that phi is the installation error angle,and measuring errors of the sub inertial navigation attitude. Ignoring small amounts above second order, we get:
the vector form is:
the above derivation can obtain the attitude observation equation of Kalman filtering, and the attitude error in the equationIs obtained by the formulaCalculating to obtain;the carrier inertial navigation is the attitude error of the local reference and the sub inertial navigation;is a local basis to navigation system cosine matrix; thetaJIs a local attitude error due to thetaJMuch less thanAnd thus it is taken as observation noise. With the velocity error added, the measurement matrix H can be expressed as:the speed and attitude are observed, i.e., Z ═ HX.
By adopting the method, the alignment is completed by simulation analysis for 6 seconds, and higher positioning precision is achieved.
Finally, it should be noted that the above embodiments are only used for illustrating the technical solutions of the present invention and not for limiting the technical solutions, and those skilled in the art should understand that modifications or equivalent substitutions can be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions, and all that should be covered by the claims of the present invention.
Claims (5)
1. A method of eliminating the effect of misalignment angle error on initial alignment, comprising the steps of:
1) acquiring an attitude angle of the carrier through a local inertial navigation system and a sub inertial navigation system;
2) acquiring attitude angle information of the local inertial navigation system and the sub inertial navigation system, outputting the attitude angle information to a specified coordinate system, and acquiring a projection difference through projection to be used as an observed quantity;
3) inputting the observed quantity into a Kalman filter, and estimating navigation calculation information errors and inertia sensitive element errors of the sub-inertial navigation system through the Kalman filter; and when the estimated error value meets the precision requirement, the estimated error value is fed back to the sub inertial navigation system, the navigation parameters of the sub inertial navigation system are corrected, the error of an inertial device is compensated, and the initial alignment is completed.
2. The method of eliminating the effect of misalignment angle error on initial alignment of claim 1, wherein when the azimuth angle error of each installation is not more than 0.4 °, the azimuth data is directly bound; otherwise, transfer alignment is carried out by adopting a Kalman filtering method of speed + attitude matching.
3. The method for eliminating the influence of misalignment angle errors on initial alignment according to claim 1, wherein in the kalman filtering estimation process, the kalman filtering state quantity is:
wherein the installation error angle phi is [ phi ]x φy φz]TSatisfies the following conditions:east speed error, north speed error, and sky speedThe degree error is an east attitude error angle, a north attitude error angle, a sky attitude error angle, an installation error angle x-axis, an installation error angle y-axis, and an installation error angle z-axis.
4. The method of eliminating the effect of misalignment angle errors on initial alignment of claim 3, wherein transfer alignment is performed by Kalman filtering's attitude observation equation:
wherein the attitude errorBy passingThe calculation results in that,an attitude cosine matrix of a navigation coordinate system n;inertial navigation attitude error on the carrier;is a local basis to navigation system cosine matrix; thetaJIs a local base attitude error, thetaJMuch less thanThis was taken as the observation noise.
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