High-precision three-dimensional space guidance method for transition research

文档序号:1462704 发布日期:2020-02-21 浏览:20次 中文

阅读说明:本技术 一种转捩研究用高精度三维空间制导方法 (High-precision three-dimensional space guidance method for transition research ) 是由 谢佳 郭振西 巩英辉 唐毛 季登高 张宁宁 李欣 刘秀明 张箭飞 陈芳 杨凌霄 于 2019-10-24 设计创作,主要内容包括:一种转捩研究用高精度三维空间制导方法,包括步骤:计算目标坐标系下的弹目视线转率;计算目标坐标系下的需求速度转率;目计算标坐标系下的需求过载;根据弹体外形结构的对称类型,确定控制指令并发送给下一级自控系统。本发明解决了传统比例导引在过顶攻击时存在的奇异问题,适用于各种精确打击飞行任务。(A transition research high-precision three-dimensional space guidance method comprises the following steps: calculating the line of sight rotation rate of the bullet eyes under a target coordinate system; calculating the required speed conversion rate under a target coordinate system; calculating the demand overload under a target coordinate system; and determining a control command according to the symmetry type of the appearance structure of the projectile body and sending the control command to a next-stage automatic control system. The method solves the strange problem existing in the traditional proportional guidance during the over-top attack, and is suitable for various precise striking flight tasks.)

1. A transition research high-precision three-dimensional space guidance method is characterized by comprising the following steps:

1) according to the current real-time speed of the projectile body

Figure FDA0002246827800000011

2) Constraint of gamma according to the landing time velocity dipDFVelocity deviation angle constraint gamma from impact timeTFCurrent real-time speed of projectile

Figure FDA0002246827800000014

3) According to the overload demand of the projectile against gravityCurrent real-time velocity of projectile

Figure FDA0002246827800000018

4) Judging the symmetry type of the appearance structure of the projectile body, if the projectile body is of an axisymmetric structure, entering the step 5), and if the projectile body is of a plane symmetric structure and a non-axisymmetric structure, entering the step 7);

5) according to the transformation matrix from the projectile coordinate system to the target coordinate system

Figure FDA00022468278000000111

6) overload of the projectile body in the projectile body coordinate system according to the step 5)

Figure FDA00022468278000000114

7) according to the current real-time speed of the projectile body

Figure FDA00022468278000000115

8) according to the direction cosine moment from the target coordinate system to the speed coordinate systemAnd transmitting the direction cosine moment matrix of the coordinate system to the target coordinate system

Figure FDA00022468278000000118

2. The high-precision three-dimensional space guidance method for transition research according to claim 1, wherein the determination of the line-of-sight transition vector of the missile target under the target coordinate system in step 1) is performed

Figure FDA00022468278000000121

Figure FDA0002246827800000021

3. the high-precision three-dimensional space guidance method for transition research according to claim 1, wherein the step 2) is to determine the required velocity transition rate vector under the target coordinate system

Figure FDA0002246827800000022

Figure FDA0002246827800000023

Figure FDA0002246827800000024

Figure FDA0002246827800000025

4. the high-precision three-dimensional space guidance method for transition research according to claim 1, wherein the step 3) of determining the overload requirement of the projectile body in the target coordinate systemThe method specifically comprises the following steps:

Figure FDA0002246827800000028

Figure FDA0002246827800000029

wherein k is1>1,k2>0,k1、k2To guide the gain.

5. The high-precision three-dimensional space guidance method for transition research according to claim 1, wherein the impact time corresponds to a time at which a projectile attacks a target.

6. The high-precision three-dimensional space guidance method for transition research according to any one of claims 1 to 5, wherein the step 5) is to determine the overload requirement of the projectile in the projectile coordinate system

Figure FDA00022468278000000210

Figure FDA00022468278000000211

7. the high-precision three-dimensional space guidance method for transition research according to claim 6, wherein the method for determining the projectile attack angle command α and the sideslip angle command β in step 6) specifically comprises:

Figure FDA0002246827800000032

Figure FDA0002246827800000033

Figure FDA0002246827800000034

wherein the content of the first and second substances,

Figure FDA0002246827800000035

8. The method for guiding in the high-precision three-dimensional space for transition research according to any one of claims 1 to 5, wherein step 7) is performed to determine the attack angle command αcxThe method specifically comprises the following steps:

Figure FDA0002246827800000038

wherein N isyTIndicating a projectile demand overload

Figure FDA0002246827800000039

9. The high-precision three-dimensional space guidance method for transition research of claim 8, wherein the step 8) is to determine the tilt angle command upsiloncxThe method specifically comprises the following steps:

Figure FDA00022468278000000311

Figure FDA00022468278000000312

Figure FDA0002246827800000041

wherein the content of the first and second substances,

Figure FDA0002246827800000042

Technical Field

The invention relates to a high-precision three-dimensional space guidance method for transition research, and belongs to the technical field of aircraft guidance.

Background

The transition research of the reentry aircraft relates to various attack modes, such as attack modes of diving, horizontal turning, top crossing, roundabout and the like, and whether a guidance strategy with accurate striking at the tail end can be adapted to various flight modes is required. The traditional accurate striking adopts a two-dimensional proportion guidance strategy, a half-speed coordinate system vertical to the speed needs to be established, and the problem that the half-speed coordinate system cannot be defined due to certain speed directions exists inevitably because the speed is a moving coordinate system, for example, the local geocentric half-speed coordinate system cannot be defined due to the fact that a speed vector is parallel to a geocentric radial when the overhead attack is carried out, and the half-speed coordinate system defined relative to a transmitting system or a transmitting inertial system cannot be defined due to the fact that the speed vector is vertical to an OXY plane of the transmitting system or the transmitting inertial system when the horizontal turning maneuver is carried out; in addition, the two-dimensional scale guidance relates to the conversion sequence of the coordinate system, and also has certain situations to cause angle singularity, for example, the angle singularity problem exists in the two-dimensional scale guidance in the case of over-top attack. Both of these problems reduce the versatility of two-dimensional proportional steering techniques.

Disclosure of Invention

The technical problem to be solved by the invention is as follows: the method overcomes the defects of the prior art, provides a high-precision three-dimensional space guidance method for transition research, solves the singularity problem existing in the over-the-top attack of the traditional proportional guidance, and is suitable for various precise striking flight tasks.

The technical scheme of the invention is as follows:

a transition research high-precision three-dimensional space guidance method comprises the following steps:

1) according to the current real-time speed of the projectile bodyThe current position of the projectile body is opposite to the striking targetVector of positions

Figure BDA0002246827810000014

Determining bullet sight line rotation rate vector under target coordinate system

2) Constraint of gamma according to the landing time velocity dipDFVelocity deviation angle constraint gamma from impact timeTFCurrent real-time speed of projectile

Figure BDA0002246827810000021

Vector of current position of projectile body relative to striking target position

Figure BDA0002246827810000022

Determining a required speed transformation rate vector under a target coordinate system

3) According to the overload demand of the projectile against gravity

Figure BDA0002246827810000024

Current real-time velocity of projectile

Figure BDA0002246827810000025

And step 2) the required speed-to-rate vector

Figure BDA0002246827810000026

Determining demand overload of projectiles in a target coordinate system

Figure BDA0002246827810000027

4) Judging the symmetry type of the appearance structure of the projectile body, if the projectile body is of an axisymmetric structure, entering the step 5), and if the projectile body is of a plane symmetric structure and a non-axisymmetric structure, entering the step 7);

5) according to the transformation matrix from the projectile coordinate system to the target coordinate system

Figure BDA00022468278100000218

And step 3) overload of the requirement of the projectile body under the target coordinate system

Figure BDA0002246827810000029

Obtaining a demand overload of a projectile in a projectile coordinate system

Figure BDA00022468278100000210

And go to step 6);

6) overload of the projectile body in the projectile body coordinate system according to the step 5)

Figure BDA00022468278100000211

Determining projectile angle of attack instructions α, sideslip angle instructions β;

7) according to the current real-time speed of the projectile body

Figure BDA00022468278100000212

And step 3) overload of the requirement of the projectile body under the target coordinate system

Figure BDA00022468278100000213

Determining angle of attack instruction αcxAnd entering step 8);

8) according to the direction cosine moment from the target coordinate system to the speed coordinate systemAnd transmitting the direction cosine moment matrix of the coordinate system to the target coordinate system

Figure BDA00022468278100000215

Determining a direction cosine matrix from a transmission coordinate system to a velocity coordinate system

Figure BDA00022468278100000216

According to

Figure BDA00022468278100000217

Determining a tilt angle command upsiloncx

Compared with the prior art, the invention has the beneficial effects that:

1) aiming at the particle motion control mechanism of the axisymmetric/plane-symmetric aircraft, the invention establishes a three-dimensional space guidance and guidance model which can adapt to any flight mode and a complete overload control demand and guidance instruction calculation model.

2) The three-dimensional space guidance method provided by the invention solves the problem of singular coordinate system definition in the traditional two-dimensional scale guidance, and can realize centimeter-level striking precision.

3) The invention establishes a proportion guidance demand overload model in a speed coordinate system, and solves the singular problem of over-top attack in the traditional half-speed coordinate system.

Drawings

FIG. 1 is a flow chart of the method of the present invention.

Detailed Description

As shown in fig. 1, the high-precision three-dimensional space guidance method for transition research of the present invention includes the following steps:

1) according to the current real-time speed of the projectile body

Figure BDA0002246827810000031

Vector of current position of projectile body relative to striking target position

Figure BDA0002246827810000032

Determining bullet sight line rotation rate vector under target coordinate system

Figure BDA0002246827810000033

The method specifically comprises the following steps:

Figure BDA0002246827810000034

2) constraint of gamma according to the landing time velocity dipDFVelocity deviation angle constraint gamma from impact timeTFCurrent real-time speed of projectile

Figure BDA0002246827810000035

Vector of current position of projectile body relative to striking target position

Figure BDA0002246827810000036

Determining a demand speed slew rate vector

Figure BDA0002246827810000037

The impact moment is the moment corresponding to the attack target of the projectile body;

determining a demand speed slew rate vector

Figure BDA00022468278100000319

The method specifically comprises the following steps:

Figure BDA0002246827810000039

Figure BDA00022468278100000310

Figure BDA00022468278100000311

Figure BDA00022468278100000312

wherein, TtogoIs the remaining time of flight.

3) According to the overload demand of the projectile against gravity

Figure BDA00022468278100000313

Current real-time velocity of projectile

Figure BDA00022468278100000314

And step 2) the required speed-to-rate vector

Figure BDA00022468278100000315

Determining demand overload of projectiles in a target coordinate systemThe method specifically comprises the following steps:

Figure BDA00022468278100000317

Figure BDA00022468278100000318

wherein k is1>1,k2>0,k1、k2To guide the gain.

4) Judging the symmetry type of the appearance structure of the projectile body, if the projectile body is of an axisymmetric structure, entering the step 5), and if the projectile body is of a plane symmetric structure and a non-axisymmetric structure, entering the step 7);

5) according to the transformation matrix from the projectile coordinate system to the target coordinate system

Figure BDA0002246827810000041

And step 3) overload of the requirement of the projectile body under the target coordinate system

Figure BDA0002246827810000042

Obtaining a demand overload of a projectile in a projectile coordinate system

Figure BDA0002246827810000043

And go to step 6); determining a demand overload of a projectile in a projectile coordinate system

Figure BDA0002246827810000044

The method specifically comprises the following steps:

Figure BDA0002246827810000045

6) overload of the projectile body in the projectile body coordinate system according to the step 5)

Figure BDA0002246827810000046

Determining a projectile attack angle command α and a sideslip angle command β, and outputting a projectile attack angle command α and a sideslip angle command β to a next-level automatic control system;

determining an attack angle instruction α and a sideslip angle instruction β of the projectile, specifically:

Figure BDA0002246827810000047

Figure BDA0002246827810000049

Figure BDA00022468278100000410

wherein the content of the first and second substances,

Figure BDA00022468278100000411

is the partial derivative of the lateral force coefficient of the projectile to the sideslip angle, SrefIs the pneumatic reference area of the projectile body, and q is the real-time flying dynamic pressure of the projectile body; n is a radical ofyBOverload of demand for projectiles

Figure BDA00022468278100000412

Component in the Y-axis of the projectile coordinate system, NzBOverload of demand for projectiles

Figure BDA00022468278100000413

A component on the Z-axis of the projectile coordinate system; m is the mass of the projectile;

7) according to the current real-time speed of the projectile body

Figure BDA00022468278100000414

And step 3) overload of the requirement of the projectile body under the target coordinate system

Figure BDA00022468278100000415

Determining angle of attack instruction αcxAnd proceed to step 8); determine angle of attack command αcxThe method specifically comprises the following steps:

Figure BDA0002246827810000051

wherein N isyTIndicating a projectile demand overload

Figure BDA0002246827810000052

A component on the Y-axis of the target coordinate system; m is the mass of the projectile body,

Figure BDA0002246827810000053

the partial derivative of the coefficient of lift of the projectile with respect to angle of attack, αcx0The corresponding attack angle S when the lifting coefficient of the projectile body is zerorefIs the pneumatic reference area of the projectile, and q is the real-time flight dynamic pressure of the projectile.

8) According to the direction cosine matrix from the target coordinate system to the speed coordinate system

Figure BDA0002246827810000054

And transmitting the direction cosine moment matrix of the coordinate system to the target coordinate system

Figure BDA0002246827810000055

Determining a direction cosine matrix from a transmission coordinate system to a velocity coordinate system

Figure BDA0002246827810000056

According to

Figure BDA0002246827810000057

Determining a tilt angle command upsiloncxAnd outputs an angle of attack command αcxAnd a tilt angle command vcxFeeding the next level of automatic control system;

determining a tilt angle command upsiloncxThe method specifically comprises the following steps:

Figure BDA0002246827810000059

Figure BDA00022468278100000510

wherein the content of the first and second substances,is the earth center radial of the emission point,Is the projection vector of the target point earth center radial in the emission coordinate system.

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