CN109115212A - A kind of inertial navigation system gamut posture angle extraction method - Google Patents

A kind of inertial navigation system gamut posture angle extraction method Download PDF

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Publication number
CN109115212A
CN109115212A CN201811299564.4A CN201811299564A CN109115212A CN 109115212 A CN109115212 A CN 109115212A CN 201811299564 A CN201811299564 A CN 201811299564A CN 109115212 A CN109115212 A CN 109115212A
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angle
course
roll
roll angle
resolving
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CN109115212B (en
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孙伟强
赵凤昊
景森学
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707th Research Institute of CSIC
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/10Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 by using measurements of speed or acceleration
    • G01C21/12Navigation; 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
    • G01C21/16Navigation; 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

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  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Automation & Control Theory (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
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Abstract

The present invention relates to a kind of inertial navigation system gamut posture angle extraction methods, the method by successively freezing roll angle and course angle respectively, and the extraction of pitch angular close to ± 90 ° of formula roll angles and course angle may be implemented.Invention achievement mentality of designing is ingenious, has novelty, preferably resolves inertial navigation system all-attitude angle and extract this practical engineering application problem, so that inertial navigation system has guarantee in the use of full posture range, has promotional value.

Description

A kind of inertial navigation system gamut posture angle extraction method
Technical field
The present invention relates to inertial navigation system technical field, especially a kind of inertial navigation system gamut attitude angle extraction side Method can be used for being installed on the inertial navigation system attitude angle that the pitch angulars such as underwater robot, aircraft are more than 90 ° of carriers and extract.
Background technique
General inertial navigation system defines pitch angle domain value range are as follows: and (- 90 °, 90 °), in certain specific application areas, no Only pitch angle domain value range will [- 180 °, 180 °) between, roll angle domain value range also will [- 180 °, 180 °) between, boat To angle domain value range [0 °, 360 °) between.
When ± 90 ° close due to pitch angle, course angle and roll angle are coupled, and can not mention according to traditional attitude angle Method is taken to extract.
Summary of the invention
In place of making up the deficiencies in the prior art, according to roll angle and course angle coupled relation, if A kind of inertial navigation system gamut posture angle extraction method that design is scientific and reasonable is counted.
The purpose of the present invention is what is realized by following technological means:
A kind of inertial navigation system gamut posture angle extraction method, it is characterised in that: the following steps are included:
(1), solving of attitude formula:
Defining attitude of carrier angular moment battle array is
Attitude of carrier angle can be calculated by formula 1:
θ=arctan (- C31/C33)………………………………(2)
The domain of θ is (- 0.5 π, 0.5 π) in above formula, and the domain of Φ is (- 0.5 π, 0.5 π), and the domain of Ψ is [0,2π);
(2), symbol definition:
Rp∈ (- π, π]: the previous roll angle for resolving period calculating
Rc∈ (- π, π]: the current roll angle for resolving period calculating
Hp∈ [0,2 π): the previous course heading for resolving period calculating
Hc∈ [0,2 π): the current course heading for resolving period calculating
Pp∈ (- π, π]: the current pitch angular for resolving period calculating
K: resolving cycle count value, and each resolving period increases by 1
RsH=Rc-Hc: the difference of roll angle and course angle
RaH=Rc+Hc: the sum of roll angle and course angle
ε: pitch angle is close to 90 ° of judgment thresholds;
(3), all-attitude angle extracting method:
Judgment threshold ε is set first, when pitch angle is positive close to 90 °, calculates the difference RsH of roll angle and course angle, counts Calculation method is shown in formula (4), and according to the RsH being calculated, current time freezes roll angle, i.e., current rolling angle value RcEqual to upper one Resolve the rolling angle value R in periodp, the difference RsH of roll angle and course angle found out, then can calculate the course angle at current time Hc, i.e. renewable roll angle R of next resolving periodc, successively interleaved computation can find out rolling when pitch angle is positive close to 90 ° Angle and course angle;
When pitch angle is negative close to 90 °, the sum of roll angle and course angle RaH are calculated, calculation method is shown in formula (4), according to The RaH being calculated, current time freeze course angle, i.e. current course angle value HcThe course angle value for resolving the period equal to upper one Hp, the sum of roll angle and course angle RaH found out, then can calculate the roll angle R at current timec, next resolving period Update course angle Hc, successively interleaved computation can find out the roll angle and course angle when pitch angle is negative close to 90 °;
It, can be according to normal roll angle and course angle extraction method formula (3) and formula when pitch angle keeps off ± 90 ° (4) roll angle R is calculatedcWith course angle Hc
Moreover, (3) the threshold value is preferably set to 10 ° to step.
The advantages and positive effects of the present invention are:
The present invention for carrier pitch angular close to ± 90 ° when, carrier roll angle and course angle are coupled can not be straight The problem of lifting is connect, according to roll angle and course angle coupled relation, devises a kind of roll angle and course angle iterative extraction method, Using this method, pitch angular is may be implemented close to ± 90 ° of formula cross in method by successively freezing roll angle and course angle respectively The extraction of cradle angle and course angle.
Achievement mentality of designing of the present invention is ingenious, has novelty, preferably resolves inertial navigation system all-attitude angle and mention This practical engineering application problem is taken, when carrier pitch angular is ± 90 ° close, course angle and roll angle extraction accuracy are high, make Obtaining inertial navigation system has guarantee in the use of full posture range, has promotional value.
Detailed description of the invention
Fig. 1 is that all-attitude angle extracts flow chart;
Fig. 2 is all-attitude angle extraction algorithm flow chart.
Specific embodiment
With reference to the accompanying drawing in detail narration the embodiment of the present invention, it should be noted that the present embodiment be it is narrative, no It is restrictive, this does not limit the scope of protection of the present invention.
A kind of inertial navigation system gamut posture angle extraction method, comprising the following steps:
(1), solving of attitude formula:
Defining attitude of carrier angular moment battle array is
Attitude of carrier angle can be calculated by formula 1:
θ=arctan (- C31/C33)………………………………(2)
The domain of θ is (- 0.5 π, 0.5 π) in above formula, and the domain of Φ is (- 0.5 π, 0.5 π), and the domain of Ψ is [0,2π)。
(2), symbol definition:
Rp∈ (- π, π]: the previous roll angle for resolving period calculating
Rc∈ (- π, π]: the current roll angle for resolving period calculating
Hp∈ [0,2 π): the previous course heading for resolving period calculating
Hc∈ [0,2 π): the current course heading for resolving period calculating
Pp∈ (- π, π]: the current pitch angular for resolving period calculating
K: resolving cycle count value, and each resolving period increases by 1
RsH=Rc-Hc: the difference of roll angle and course angle
RaH=Rc+Hc: the sum of roll angle and course angle
ε: pitch angle is close to 90 ° of judgment thresholds.
(3), all-attitude angle extracting method:
All-attitude angle extraction algorithm flow chart is shown in Fig. 2, first setting judgment threshold ε, it is proposed that threshold value is set as 10 °, works as pitching When angle is positive close to 90 °, the difference RsH of roll angle and course angle is calculated, calculation method is shown in formula (4), according to the RsH being calculated, Current time freezes roll angle, i.e., current rolling angle value RcThe rolling angle value R for resolving the period equal to upper onep, roll angle and course The difference RsH at angle has been found out, then can calculate the course angle H at current timec, i.e. renewable roll angle R of next resolving periodc, according to Secondary interleaved computation can find out roll angle and course angle when pitch angle is positive close to 90 °.
When pitch angle is negative close to 90 °, the sum of roll angle and course angle RaH are calculated, calculation method is shown in formula (4), according to The RaH being calculated, current time freeze course angle, i.e. current course angle value HcThe course angle value for resolving the period equal to upper one Hp, the sum of roll angle and course angle RaH found out, then can calculate the roll angle R at current timec, next resolving period Update course angle Hc, successively interleaved computation can find out the roll angle and course angle when pitch angle is negative close to 90 °.
It, can be according to normal roll angle and course angle extraction method formula (3) and formula when pitch angle keeps off ± 90 ° (4) roll angle R is calculatedcWith course angle Hc

Claims (2)

1. a kind of inertial navigation system gamut posture angle extraction method, it is characterised in that: the following steps are included:
(1), solving of attitude formula:
Defining attitude of carrier angular moment battle array is
Attitude of carrier angle can be calculated by formula 1:
θ=arctan (- C31/C33)………………………………(2)
The domain of θ is (- 0.5 π, 0.5 π) in above formula, and the domain of Φ is (- 0.5 π, 0.5 π), and the domain of Ψ is [0,2 π);
(2), symbol definition:
Rp∈ (- π, π]: the previous roll angle for resolving period calculating
Rc∈ (- π, π]: the current roll angle for resolving period calculating
Hp∈ [0,2 π): the previous course heading for resolving period calculating
Hc∈ [0,2 π): the current course heading for resolving period calculating
Pp∈ (- π, π]: the current pitch angular for resolving period calculating
K: resolving cycle count value, and each resolving period increases by 1
RsH=Rc-Hc: the difference of roll angle and course angle
RaH=Rc+Hc: the sum of roll angle and course angle
ε: pitch angle is close to 90 ° of judgment thresholds;
(3), all-attitude angle extracting method:
Judgment threshold ε is set first, when pitch angle is positive close to 90 °, calculates the difference RsH of roll angle and course angle, calculating side Method is shown in formula (4), and according to the RsH being calculated, current time freezes roll angle, i.e., current rolling angle value RcIt is resolved equal to upper one The rolling angle value R in periodp, the difference RsH of roll angle and course angle found out, then can calculate the course angle H at current timec, under One resolves period i.e. renewable roll angle Rc, successively interleaved computation, can find out roll angle when pitch angle is positive close to 90 ° and Course angle;
When pitch angle is negative close to 90 °, the sum of roll angle and course angle RaH are calculated, calculation method is shown in formula (4), according to calculating Obtained RaH, current time freeze course angle, i.e. current course angle value HcThe course angle value H for resolving the period equal to upper onep, horizontal The sum of cradle angle and course angle RaH have been found out, then can calculate the roll angle R at current timec, next resolving period is renewable Course angle Hc, successively interleaved computation can find out the roll angle and course angle when pitch angle is negative close to 90 °;
When pitch angle keeps off ± 90 °, it can be counted according to normal roll angle and course angle extraction method formula (3) and formula (4) Calculate roll angle RcWith course angle Hc
2. a kind of inertial navigation system gamut posture angle extraction method according to claim 1, it is characterised in that: step (3) institute The threshold value stated is preferably set to 10 °.
CN201811299564.4A 2018-10-30 2018-10-30 Method for extracting full-range attitude angle of inertial navigation system Active CN109115212B (en)

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Publication number Priority date Publication date Assignee Title
CN113587925A (en) * 2021-07-16 2021-11-02 湖南航天机电设备与特种材料研究所 Inertial navigation system and full-attitude navigation resolving method and device thereof
CN115164888A (en) * 2022-09-06 2022-10-11 中国船舶重工集团公司第七0七研究所 Error correction method and device, electronic equipment and storage medium
CN115655271A (en) * 2022-12-22 2023-01-31 中国船舶集团有限公司第七〇七研究所 Large-range attitude angle extraction method under dynamic condition
CN117091596A (en) * 2023-10-09 2023-11-21 腾讯科技(深圳)有限公司 Gesture information acquisition method and related equipment

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Publication number Priority date Publication date Assignee Title
CN113587925A (en) * 2021-07-16 2021-11-02 湖南航天机电设备与特种材料研究所 Inertial navigation system and full-attitude navigation resolving method and device thereof
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CN115164888B (en) * 2022-09-06 2022-12-09 中国船舶重工集团公司第七0七研究所 Error correction method and device, electronic equipment and storage medium
CN115655271A (en) * 2022-12-22 2023-01-31 中国船舶集团有限公司第七〇七研究所 Large-range attitude angle extraction method under dynamic condition
CN115655271B (en) * 2022-12-22 2023-03-10 中国船舶集团有限公司第七〇七研究所 Large-range attitude angle extraction method under dynamic condition
CN117091596A (en) * 2023-10-09 2023-11-21 腾讯科技(深圳)有限公司 Gesture information acquisition method and related equipment

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