CN107368086B - Unmanned underwater vehicle path planning device and method based on detection threat domain - Google Patents

Unmanned underwater vehicle path planning device and method based on detection threat domain Download PDF

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CN107368086B
CN107368086B CN201710538828.6A CN201710538828A CN107368086B CN 107368086 B CN107368086 B CN 107368086B CN 201710538828 A CN201710538828 A CN 201710538828A CN 107368086 B CN107368086 B CN 107368086B
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CN107368086A (en
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杜雪
严浙平
管凤旭
邱天畅
张耕实
陈涛
周加佳
张宏瀚
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Harbin Engineering University
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    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
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    • G05D1/04Control of altitude or depth
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    • G05D1/0692Rate of change of altitude or depth specially adapted for under-water vehicles
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    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/26Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 specially adapted for navigation in a road network
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    • G01C21/3407Route searching; Route guidance specially adapted for specific applications
    • G01C21/343Calculating itineraries
    • 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
    • G01C21/26Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 specially adapted for navigation in a road network
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Abstract

本发明提供一种基于探测威胁域的无人潜航器路径规划装置及方法,基于探测威胁域的路径规划算法来解决地形障碍环境下UUV的路径规划问题,能满足UUV本身运动学约束、避碰约束以及隐蔽探测约束。在给定初始位置、终点位置、最大曲率约束、路径离散点分辨率、隐蔽安全指标等,规划出从运动起点到终点的路径,且光滑连续可导,满足UUV的航行转弯曲率约束、隐蔽安全指标等,使其以最短时间安全隐蔽到达终点。本发明首次将探测威胁理论与航行转弯曲率约束的几何理论应用到UUV的路径规划领域中,能快速实现路径规划,方法简单可靠,易于实现,计算量小,实时性较好,能满足路径规划要求,提高了路径规划的实用性,对今后水下路径规划领域的发展有着积极意义。

Figure 201710538828

The present invention provides a path planning device and method for an unmanned underwater vehicle based on the detection threat domain. The path planning algorithm based on the detection threat domain solves the UUV's path planning problem in the terrain obstacle environment, which can satisfy the UUV's own kinematic constraints and avoid collisions. constraints and covert detection constraints. Given the initial position, end position, maximum curvature constraint, path discrete point resolution, hidden safety index, etc., plan a path from the starting point to the end point of the movement, which is smooth, continuous and steerable, meeting the UUV's navigation curvature constraints and hidden safety indicators, etc., so that it can reach the end point safely and concealed in the shortest time. For the first time, the invention applies the detection threat theory and the geometric theory of the navigational tortuosity constraint to the path planning field of the UUV, and can quickly realize the path planning. requirements, improve the practicability of path planning, and have positive significance for the future development of underwater path planning.

Figure 201710538828

Description

基于探测威胁域的无人潜航器路径规划装置及方法Device and method for path planning of unmanned underwater vehicle based on detection threat domain

技术领域technical field

本发明涉及无人水下潜航器隐蔽路径规划算法研究,尤其涉及一种基于探测威胁域的无人潜航器路径规划装置及方法,属于地形可视性领域、水声领域、复杂系统及智能控制领域,本发明可以用于无人潜航器控制、导航以及地图构建等领域。The invention relates to the research on hidden path planning algorithm of unmanned underwater vehicle, in particular to a path planning device and method of unmanned underwater vehicle based on detection threat domain, belonging to the field of terrain visibility, underwater acoustic field, complex system and intelligent control Field, the present invention can be used in the fields of unmanned underwater vehicle control, navigation and map construction.

背景技术Background technique

路径规划是无人潜航器研究领域的一个重要问题,它能够为无人潜航器产生安全可航行的路径,而这条在从起始状态到目标状态的过程中避开障碍物的路径中最优或者接近最优的一条。Path planning is an important problem in the field of unmanned underwater vehicle research. It can generate a safe and navigable path for the unmanned underwater vehicle, and this path is the most difficult to avoid obstacles in the process from the initial state to the target state. Excellent or near-optimal one.

UUV路径规划作为保障UUV安全、高效完成作业任务的重要功能,具有重要的现实意义。国内外众多学者在这方面进行了大量研究,提出了很多有效规划算法,取得了丰富的研究成果,如人工势场、A*算法、可视图法、快速扩展随机数、Voronoi图以及各种优化算法等获得了广泛的研究与应用。以上这种在网络的一个节点或多个节点之间产生一条路径的路径规划问题在运筹学、通信、计算几何和图形学等领域已被人们所熟知,然而将这些领域的规划概念应用于无人潜航器的隐蔽规划却是一个挑战。无人潜航器隐蔽路径规划的两个最重要的约束条件是路径的可航行性与隐蔽安全性。可航行性在于航行路径通常由连接各航路点的一系列分段直线段组成,但这样的路径并不是可航行的路径,难以满足航行器运动学或运动约束,由于每一对相连的分航路段都必须有相同的切线以形成一条曲率连续的路径,因此确定每个航路点的方向以使得每段航路相互匹配是非常重要的。隐蔽安全性是指航行器在执行一定隐蔽任务时,会受到来自对方声纳基阵、防御设施探测等威胁,从而不但影响任务执行的成功率,更将对航行器自身的隐蔽安全性造成一定威胁。同时由于对探测威胁区域的路径规划需要基于一定的地理数据,而大规模地理数据量的迫切需要高效的存储与传输,为此还需对环境数据进行压缩处理,从而减少数据冗余,降低数据存储和相应的通讯费用。UUV path planning, as an important function to ensure the safe and efficient completion of UUV tasks, has important practical significance. Many scholars at home and abroad have conducted a lot of research in this area, proposed many effective planning algorithms, and achieved rich research results, such as artificial potential field, A* algorithm, visual graph method, rapidly expanding random number, Voronoi diagram and various optimizations Algorithms have been widely studied and applied. The above path planning problem of generating a path between one or more nodes in a network is well known in the fields of operations research, communication, computational geometry and graphics, however, applying planning concepts from these fields to no Stealth planning for human submersibles is a challenge. The two most important constraints for UUV covert path planning are path navigability and covert safety. Navigability lies in the fact that the navigation path is usually composed of a series of segmented straight segments connecting each waypoint, but such a path is not a navigable path, and it is difficult to meet the vehicle kinematics or motion constraints, because each pair of connected sub-routes The segments must all have the same tangent to form a continuous path of curvature, so it is important to orient each waypoint so that each route matches each other. Concealment security means that when an aircraft performs a certain concealed mission, it will be threatened by the sonar array and detection of defense facilities, which will not only affect the success rate of mission execution, but also cause certain damage to the concealment security of the aircraft itself. threaten. At the same time, since the path planning for detecting the threat area needs to be based on certain geographic data, and the large-scale geographic data volume urgently needs efficient storage and transmission, it is necessary to compress the environmental data to reduce data redundancy and reduce data. Storage and corresponding communication charges.

综上所述,目前无人潜航器路径规划的方法大多只考虑碍航物的存在问题,并未考虑如何处理路径点使其满足转弯曲率等约束条件,以及基于水声学的探测威胁等安全约束等问题,为此本发明基于对航行环境的水声探测威胁分析,规划出无人潜航器的隐蔽安全可行路径,以满足航行器物理性能上的各种约束条件,实现无人潜航器在路径规划领域中的工程应用。To sum up, most of the current UUV path planning methods only consider the existence of obstructions, but do not consider how to deal with the path points to meet the constraints such as turning curvature, and safety constraints such as detection of threats based on hydroacoustics. Therefore, the present invention plans a concealed, safe and feasible path for the unmanned underwater vehicle based on the analysis of the threat of underwater acoustic detection of the navigation environment, so as to meet various constraints on the physical performance of the vehicle and realize the path of the unmanned underwater vehicle. Engineering applications in the field of planning.

发明内容SUMMARY OF THE INVENTION

本发明的目的是为了解决多约束情况下的无人潜航器隐蔽路径规划问题而提供一种基于探测威胁域的无人潜航器路径规划装置及方法,能够为无人潜航器规划地形障碍条件下连续可行的路径,解决无人潜航器在敌方探测威胁时的各种物理约束条件。The purpose of the present invention is to provide an unmanned underwater vehicle path planning device and method based on the detection threat domain in order to solve the hidden path planning problem of the unmanned underwater vehicle under the condition of multiple constraints, which can plan the unmanned underwater vehicle under the condition of terrain obstacles. A continuous feasible path to solve various physical constraints of UUVs in the detection of threats by the enemy.

本发明的目的是这样实现的:基于探测威胁域的无人潜航器路径规划装置,其特征在于:包括环境探测威胁域单元、UUV隐蔽路径初始化单元、UUV安全路径点生成单元、UUV隐蔽路径生成单元、UUV隐蔽路径修正优化单元、UUV隐蔽路径输出单元,所述环境探测威胁域单元根据给定的水下环境参数按照内插方法构建UUV航行的基本空间框架,并采用水下可视性方法计算各位置点可被探测的威胁指标;所述UUV隐蔽路径初始化单元与环境探测威胁域单元连接,根据隐蔽安全指标定义并离散各个探测威胁域,通过覆盖圆域方法威胁域障碍的几何表征,并接收UUV航行初始参数或条件;所述UUV安全路径点生成单元根据UUV的起始点A1位置,随机生成下一个路径点A2,使路径不与威胁域障碍发生碰撞;所述UUV隐蔽路径生成单元根据A1与A12的位置关系依次生成后续的路径点A13,A14,...,A1m并将其两两相连得到路径P1,使得P1不与威胁域障碍发生碰撞,并用相同的方式生成一组求得不与障碍物发生碰撞的路径簇

Figure BDA0001341346080000021
所述UUV隐蔽路径修正优化单元设置机动可行曲线簇
Figure BDA0001341346080000022
为候选路径种群,采用安全约束进化算法修正当前机动可行曲线簇
Figure BDA0001341346080000023
并选取UUV在三维环境下满足运动学约束的最优隐蔽安全路径;所述UUV隐蔽路径输出单元接收并输出规划出的满足约束条件的最优隐蔽安全路径。The object of the present invention is achieved in this way: an unmanned vehicle path planning device based on the detection threat domain is characterized in that: it includes an environmental detection threat domain unit, a UUV concealed route initialization unit, a UUV safe waypoint generation unit, and a UUV concealed route generation unit. unit, UUV covert path correction and optimization unit, UUV covert path output unit, the environmental detection threat domain unit constructs the basic space frame of UUV navigation according to the given underwater environment parameters according to the interpolation method, and adopts the underwater visibility method Calculate the threat indicators that can be detected at each location point; the UUV covert path initialization unit is connected to the environmental detection threat domain unit, defines and discretizes each detection threat domain according to the covert security index, and threatens the geometric representation of obstacles in the domain by covering the circle domain method, And receive the initial parameters or conditions of UUV navigation; the UUV safe waypoint generating unit randomly generates the next waypoint A2 according to the position of the starting point A1 of the UUV , so that the path does not collide with the obstacle in the threat domain; the UUV concealed path The generating unit generates successive path points A 13 , A 14 , . , and in the same way generate a set of path clusters that do not collide with obstacles
Figure BDA0001341346080000021
The UUV concealed path correction optimization unit sets maneuverable feasible curve clusters
Figure BDA0001341346080000022
For the candidate path population, the safety constraint evolution algorithm is used to correct the current maneuver feasible curve cluster
Figure BDA0001341346080000023
And select the optimal hidden safe path that satisfies the kinematic constraints of the UUV in a three-dimensional environment; the UUV hidden path output unit receives and outputs the planned optimal hidden safe path that satisfies the constraints.

本发明还包括这样一些结构特征:The present invention also includes such structural features:

1.基于探测威胁域的无人潜航器路径规划方法,包括所述的基于探测威胁域的无人潜航器路径规划装置,步骤如下:1. An unmanned underwater vehicle path planning method based on the detection threat domain, comprising the described unmanned underwater vehicle path planning device based on the detection threat domain, and the steps are as follows:

步骤1:环境探测威胁域单元构建水下环境的基本空间框架,设定航行范围经纬度及高程信息、地形内插方法、环境单元分辨率,根据环境单元分辨率、基于水下可视性方法计算水下环境模型中各位置点可被探测的威胁评价,并与环境的经纬度信息融合并为四维坐标描述;Step 1: The environmental detection threat domain unit constructs the basic spatial framework of the underwater environment, sets the latitude, longitude and elevation information of the navigation range, the terrain interpolation method, and the resolution of the environmental unit, and calculates according to the resolution of the environmental unit and the method of underwater visibility. Threats that can be detected at each location point in the underwater environment model are evaluated, fused with the latitude and longitude information of the environment, and described as four-dimensional coordinates;

所述威胁评价为:用地形可视性值表征无人潜航器的探测威胁度vis;将各位置点(xi,yi)的探测威胁度vis与隐蔽安全指标vismax相比较并得到各位置的威胁评价visi:当visi≥vismax时说明此时位置极不隐蔽,令visi=1,当visi<vismax时,则visi<1数值不变;The threat evaluation is as follows: use the terrain visibility value to characterize the detection threat degree vis of the unmanned underwater vehicle; The threat evaluation vis i of the position: when vis i ≥ vis max , it means that the position is not concealed at this time, let vis i =1, when vis i <vis max , then the value of vis i <1 remains unchanged;

步骤2:所述UUV采用定高方式航行,且UUV隐蔽安全路径初始化单元设定路径规划的状态参数和约束条件,状态参数包括UUV初始位置、终点位置,约束条件包括最大曲率约束κmax、隐蔽安全指标vismax;并基于环境探测威胁域单元根据隐蔽安全指标定义并离散各个探测威胁域,通过覆盖圆域方法求解威胁域障碍的几何表征;Step 2: The UUV sails in a fixed-height manner, and the UUV concealed safe path initialization unit sets the state parameters and constraints of the path planning, the state parameters include the UUV initial position and the end position, and the constraints include the maximum curvature constraint κ max , the concealment The security index vis max ; and based on the environmental detection threat domain unit, each detection threat domain is defined and discrete according to the hidden security index, and the geometric representation of the obstacle of the threat domain is solved by the covering circle domain method;

步骤3:UUV安全路径点生成单元,根据UUV的初始位置所述UUV采用定高方式航行,设起始点为As,并随机生成第一个路径点A11,并使得As与A11间的线段长度不超过dm,且路径不与威胁域障碍发生碰撞,其中Anm中的m和n分别表示第n条路径上的第m个点;Step 3: UUV safe waypoint generation unit, according to the initial position of the UUV, the UUV sails in a fixed-height manner, set the starting point as A s , and randomly generate the first way point A 11 , and make the distance between A s and A 11 The length of the line segment does not exceed d m , and the path does not collide with the threat domain obstacle, where m and n in A nm represent the mth point on the nth path, respectively;

运用计算几何学原理判断点As(xs,ys)与A11(x11,y11)间的路径是否连通可达:根据As(xs,ys)与A11(x11,y11)的线段求得所在的线性函数L1Use the principles of computational geometry to determine whether the path between points A s (x s , y s ) and A 11 (x 11 , y 11 ) is reachable: According to A s (x s , y s ) and A 11 (x 11 ) , y 11 ) is the linear function L 1 where the line segment is obtained:

Figure BDA0001341346080000031
Figure BDA0001341346080000031

对于某个障碍圆Obi,分别求出其圆心Oi(xoi,yoi)到AsA11线段距离lLs-11,并将其分别与Obi的半径ROi比较:当lLs-11>ROi时,表明Obi不影响AsA11的连通性,由此依次判断各个障碍圆,得到As(xs,ys)点与A11(x11,y11)间的路径是否连通可达;For a certain obstacle circle Ob i , calculate the distance l Ls-11 from its center O i (x oi , y oi ) to the line segment of A s A 11 , and compare it with the radius R Oi of Ob i : when l Ls When -11 > R Oi , it means that Ob i does not affect the connectivity of A s A 11 , so each obstacle circle is judged in turn, and the distance between A s (x s , y s ) and A 11 (x 11 , y 11 ) is obtained Whether the path is connected and reachable;

步骤4:UUV隐蔽路径生成单元根据As与A11的位置关系依次生成后续的路径点A12,A13,A14,...,Am1并将其两两相连得到路径P1,使得P1不与威胁域障碍发生碰撞,并用相同的方式生成一组求得不与障碍物发生碰撞的路径簇

Figure BDA0001341346080000032
N为自然数,且每个路径点均满足UUV的最大曲率约束下的最大转角范围;Step 4: The UUV hidden path generation unit sequentially generates the subsequent path points A 12 , A 13 , A 14 ,..., A m1 according to the positional relationship between A s and A 11 and connects them two by two to obtain the path P 1 , so that P 1 does not collide with obstacles in the threat domain, and generates a set of path clusters that do not collide with obstacles in the same way
Figure BDA0001341346080000032
N is a natural number, and each path point satisfies the maximum turning angle range under the maximum curvature constraint of UUV;

由于每个路径点之间的连线长度均不超过dm,当dm设定在合理范围内时,根据局部线性化原理可认为折线路径Pn是曲线路径的线性化表征,其中规划路径的曲线控制点四维由空间三维坐标与一维威胁坐标组成,规划路径也由包含空间三维坐标与威胁坐标的四维坐标描述;Since the length of the connecting line between each path point does not exceed d m , when d m is set within a reasonable range, according to the principle of local linearization, it can be considered that the polyline path P n is a linearized representation of the curved path, where the planned path The four-dimensional curve control point is composed of three-dimensional spatial coordinates and one-dimensional threat coordinates, and the planned path is also described by four-dimensional coordinates including three-dimensional spatial coordinates and threat coordinates;

步骤5:UUV隐蔽路径修正优化单元设置机动可行曲线簇

Figure BDA0001341346080000033
为候选路径种群,基于探测威胁域单元计算隐蔽路径的安全综合代价,采用安全约束进化算法修正当前机动可行曲线簇
Figure BDA0001341346080000034
并选取UUV在三维环境下满足运动学约束的最优隐蔽安全路径;Step 5: UUV concealed path correction optimization unit sets maneuverable feasible curve cluster
Figure BDA0001341346080000033
For the candidate path population, the security comprehensive cost of the hidden path is calculated based on the detection threat domain unit, and the security constraint evolutionary algorithm is used to correct the current maneuverable feasible curve cluster
Figure BDA0001341346080000034
And select the optimal concealed safe path that satisfies the kinematic constraints of UUV in 3D environment;

步骤6:UUV隐蔽路径输出单元输出已重构得到的满足约束条件的隐蔽安全路径。Step 6: The UUV covert path output unit outputs the reconstructed covert safe path that satisfies the constraints.

2.步骤2具体为:设置航行高度为z0,并根据高程地形的网格表示形式将z0与各个地形高程zi进行阶跃函数计算:2. Step 2 is as follows: set the sailing height as z 0 , and perform step function calculation on z 0 and each terrain elevation zi according to the grid representation of the elevation terrain:

Figure BDA0001341346080000035
Figure BDA0001341346080000035

将威胁评价visi与高程信息zi进行类同或运算,所谓类同或是指对于非整数形式的visi而言,当visi<1时,在同或运算中视visi=0,从而得到综合威胁障碍Oi;将栅格化障碍Oi与周围障碍点进行异或运算,得到连续障碍物

Figure BDA0001341346080000041
的最大范围,并根据覆盖圆域方法对连续障碍物
Figure BDA0001341346080000042
实现的最大圆形表征;Perform the similar OR operation on the threat assessment vis i and the elevation information zi , the so-called similarity means that for the non-integer form of vis i , when vis i <1, in the same OR operation, vis i = 0, so that Obtain the comprehensive threat obstacle O i ; perform the XOR operation on the rasterized obstacle O i and the surrounding obstacle points to obtain the continuous obstacle
Figure BDA0001341346080000041
, and according to the coverage circle method for continuous obstacles
Figure BDA0001341346080000042
The largest circular representation achieved;

所述覆盖圆域方法具体为:为防止产生凹障碍几何形状,根据连续障碍物

Figure BDA0001341346080000043
所占栅格点构成的多边形,以多边形最大/最小经度、最大/最小纬度为界,扩展为矩阵
Figure BDA0001341346080000044
则表征连续障碍物
Figure BDA0001341346080000045
的最大圆形
Figure BDA0001341346080000046
的圆心位置与半径长度分别为矩阵
Figure BDA0001341346080000047
的中心位置及1/2对角线长度。The method of covering the circular domain is as follows: in order to prevent the generation of concave obstacle geometry, according to the continuous obstacle
Figure BDA0001341346080000043
The polygon formed by the occupied grid points is bounded by the maximum/minimum longitude and maximum/minimum latitude of the polygon, and expanded into a matrix
Figure BDA0001341346080000044
represents a continuous obstacle
Figure BDA0001341346080000045
the largest circle of
Figure BDA0001341346080000046
The position of the center of the circle and the length of the radius are the matrices
Figure BDA0001341346080000047
The center position and 1/2 of the diagonal length.

3.步骤5中:以探测威胁度和路径长度为代价构建适应性函数为:3. In step 5: the adaptive function is constructed at the cost of detection threat degree and path length as:

Fc(i)=wthr·thr(i)+wd·dist(i)F c (i)=w thr ·thr(i)+w d ·dist(i)

其中:wthr与wd为加权系数,thr(i)=1/vis(i)为探测威胁度,dist(i)为路径长度,而每个机动可行曲线均为单个独立个体,设置种群迭代次数Num,得到当前各个个体的适应性函数,采用安全约束进化算法选择一定数量的适应度最高的个体最为次代的父母,并进行伴有一定随机突变概率的不断地配对,产生新一代群体,然后重新计算新个体的适应性函数,迭代更新直至达到最大迭代次数Num,而最终选择适应性最高的路径即为最优隐蔽安全路径。Among them: w thr and w d are the weighting coefficients, thr(i)=1/vis(i) is the detection threat degree, dist(i) is the path length, and each maneuvering feasible curve is a single independent individual, and the population iteration is set The number of times Num is to obtain the current fitness function of each individual. The safety constraint evolution algorithm is used to select a certain number of individuals with the highest fitness as the next-generation parents, and perform continuous pairing with a certain random mutation probability to generate a new generation of groups, and then The fitness function of the new individual is recalculated and updated iteratively until the maximum number of iterations Num is reached, and the path with the highest fitness is finally selected as the optimal hidden safe path.

与现有技术相比,本发明的有益效果:本发明采用基于探测威胁域的路径规划算法来解决地形障碍环境下UUV的路径规划问题,规划出来的路径能够满足UUV本身运动学约束、避碰约束以及隐蔽探测约束等。在给定UUV的初始位置、终点位置、最大曲率约束、路径离散点分辨率、隐蔽安全指标等参数或条件,规划出从UUV运动起点到终点的路径,满足UUV的航行转弯半径约束、隐蔽安全指标等,使其以最短时间安全隐蔽到达终点。该方法能快速实现UUV隐蔽安全的路径规划,方法简单可靠,易于实现,计算量小,实时性较好,能较好的满足UUV的路径规划要求。Compared with the prior art, the beneficial effects of the present invention are as follows: the present invention adopts the path planning algorithm based on the detection threat domain to solve the path planning problem of the UUV in the terrain obstacle environment, and the planned path can satisfy the kinematic constraints of the UUV itself, avoid collisions and avoid collisions. Constraints and covert detection constraints, etc. Given UUV's initial position, end position, maximum curvature constraint, path discrete point resolution, concealment safety index and other parameters or conditions, plan a path from the starting point to the end point of UUV motion to meet UUV's navigation turning radius constraints, concealment safety indicators, etc., so that it can reach the end point safely and concealed in the shortest time. The method can quickly realize the path planning of UUV concealment and safety. The method is simple and reliable, easy to implement, small in calculation amount, and has good real-time performance, which can better meet the path planning requirements of UUV.

附图说明Description of drawings

图1示出本发明实施例基于探测威胁域的无人潜航器路径规划结构示意图;1 shows a schematic structural diagram of an unmanned underwater vehicle path planning based on detecting a threat domain according to an embodiment of the present invention;

图2是本发明基于探测威胁域的无人潜航器路径规划算法流程图;Fig. 2 is the flow chart of the unmanned underwater vehicle path planning algorithm based on the detection threat domain of the present invention;

图3路径点生成时满足UUV最大曲率约束的范围Dm及生成过程的几何描述。Figure 3. The range D m that satisfies the UUV maximum curvature constraint and the geometric description of the generation process when the path point is generated.

具体实施方式Detailed ways

下面结合附图与具体实施方式对本发明作进一步详细描述。The present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.

如图1示出本发明实施例基于探测威胁域的无人潜航器路径规划装置的结构示意图,该结构可在一台计算机中完成实现,是由环境探测威胁域单元1、UUV隐蔽路径初始化单元2、UUV安全路径点生成单元3、UUV隐蔽路径生成单元4、UUV隐蔽路径修正优化单元5、UUV隐蔽路径输出单元6组成。环境探测威胁域单元1根据给定的水下环境参数按照一定的内插方法构建UUV航行的基本空间框架,并采用水下可视性方法计算各位置点可被探测的威胁指标;UUV隐蔽路径初始化单元2与环境探测威胁域单元1连接,根据隐蔽安全指标定义并离散各个探测威胁域,通过覆盖圆域方法威胁域障碍的几何表征,并接收UUV航行初始参数或条件;UUV安全路径点生成单元3与隐蔽路径初始化单元2连接,根据UUV的起始点A1位置,随机生成下一个路径点A2,使路径不与威胁域障碍发生碰撞;UUV隐蔽路径生成单元4与安全路径点生成单元3,根据A1与A12的位置关系依次生成后续的路径点A13,A14,...,A1m并将其两两相连得到路径P1,使得P1不与威胁域障碍发生碰撞,并用相同的方式生成一组求得不与障碍物发生碰撞的路径簇

Figure BDA0001341346080000051
UUV隐蔽路径修正优化单元5与隐蔽路径生成单元4,设置机动可行曲线簇
Figure BDA0001341346080000052
为候选路径种群,采用安全约束进化算法修正当前机动可行曲线簇
Figure BDA0001341346080000053
并选取UUV在三维环境下满足运动学约束的最优隐蔽安全路径;UUV隐蔽路径输出单元6与隐蔽路径修正优化单元5,接收并输出规划出的满足约束条件的最优隐蔽安全路径。所述规划路径的曲线控制点四维由空间三维坐标与一维威胁坐标组成,规划路径也由包含空间三维坐标与威胁坐标的四维坐标描述。FIG. 1 shows a schematic structural diagram of an unmanned underwater vehicle path planning device based on detection threat domain according to an embodiment of the present invention. This structure can be implemented in a computer, and is composed of an environmental detection threat domain unit 1 and a UUV concealed path initialization unit. 2. The UUV safe waypoint generating unit 3, the UUV concealed route generation unit 4, the UUV concealed route correction and optimization unit 5, and the UUV concealed route output unit 6 are composed. The environmental detection threat domain unit 1 constructs the basic space frame of UUV navigation according to the given underwater environment parameters according to a certain interpolation method, and uses the underwater visibility method to calculate the threat indicators that can be detected at each position; UUV concealed path The initialization unit 2 is connected to the environmental detection threat domain unit 1, defines and discretizes each detection threat domain according to the hidden safety index, threatens the geometric representation of the obstacles in the domain by covering the circle domain method, and receives the UUV navigation initial parameters or conditions; UUV safe waypoint generation The unit 3 is connected to the hidden path initialization unit 2, and randomly generates the next path point A 2 according to the position of the starting point A 1 of the UUV, so that the path does not collide with the obstacles in the threat domain; the UUV hidden path generation unit 4 and the safe path point generation unit 3. Follow up path points A 13 , A 14 , . , and in the same way generate a set of path clusters that do not collide with obstacles
Figure BDA0001341346080000051
UUV hidden path correction and optimization unit 5 and hidden path generation unit 4, set maneuverable feasible curve clusters
Figure BDA0001341346080000052
For the candidate path population, the safety constraint evolution algorithm is used to correct the current maneuver feasible curve cluster
Figure BDA0001341346080000053
And select the optimal hidden safe path that satisfies the kinematic constraints of the UUV in a three-dimensional environment; the UUV hidden path output unit 6 and the hidden path correction and optimization unit 5 receive and output the planned optimal hidden safe path that satisfies the constraints. The four-dimensional curve control point of the planned path is composed of three-dimensional spatial coordinates and one-dimensional threat coordinates, and the planned path is also described by four-dimensional coordinates including three-dimensional spatial coordinates and threat coordinates.

为使本发明的目的、技术方案和优点更加清楚明白,以下结合具体实施例,并参照附图,对本发明基于探测威胁域的UUV路径规划方法和装置进一步详细说明。In order to make the purpose, technical solutions and advantages of the present invention clearer, the following describes the UUV path planning method and device based on detection of threat domain based on the present invention in further detail with reference to the accompanying drawings and specific embodiments.

下面利用该结构实现本发明的基于探测威胁域的无人潜航器路径规划方法,请参考图2示出的具体步骤如下:Utilize this structure below to realize the unmanned underwater vehicle path planning method based on detection threat domain of the present invention, please refer to the specific steps shown in FIG. 2 as follows:

步骤1:环境探测威胁域单元构建水下环境的基本空间框架,设定航行范围经纬度及高程信息、地形内插方法、环境单元分辨率,根据环境单元分辨率,基于水下可视性方法计算水下环境模型中各位置点可被探测的威胁指标,并与环境的经纬度信息融合并为四维坐标描述;Step 1: The environmental detection threat domain unit constructs the basic spatial framework of the underwater environment, sets the latitude, longitude and elevation information of the navigation range, the terrain interpolation method, and the resolution of the environmental unit. According to the resolution of the environmental unit, the calculation is based on the underwater visibility method. Threat indicators that can be detected at each location point in the underwater environment model are fused with the latitude and longitude information of the environment and described as four-dimensional coordinates;

水下环境的基本空间框架基于数字高程模型(Digital Elevation Model,DEM),并采用规则网格模型,通过专利《一种基于声线轨迹的水下地表地形可视性分析方法》的地形可视性分析方法对当前环境下网格模型中的所有地形点进行遍历分析,同时根据实际设计需要,还考虑一定的声强衰减等限制因素。例如选择被动声纳进行分析,根据声纳方程:The basic spatial framework of the underwater environment is based on the Digital Elevation Model (DEM) and adopts a regular grid model. The characteristic analysis method is used to traverse and analyze all the terrain points in the grid model in the current environment. At the same time, according to the actual design needs, certain limiting factors such as sound intensity attenuation are also considered. For example, passive sonar is selected for analysis, according to the sonar equation:

SL-TL-(NL-DI)≥DT (1)SL-TL-(NL-DI)≥DT (1)

只有满足目标噪声A的SL-TL-(NL-DI)大于声纳B的检测阈DT的情况下,AB间的轨迹才是有效的。由A出射的声线上的各点,其中声源级SL是目标的辐射噪声,由目标A产生;NL-DI是指向性换能器所收到的自噪声和环境噪声级,它们和检测阈DT都由声纳B所决定。当目标A和声纳B确定后,可将SL、NL-DI视为常量,因此判断声线轨迹是否有效主要取决于传播损失TL。由于波阵面的扩展而带来的几何衰减和物理吸收,声强在传播过程中会逐渐减弱,其间声能转化为热能的过程就是物理吸收,而对应减少的声强就是传播损失。传播损失可由传播距离和辐射噪声频率得到,公式表述为:The trajectory between AB is valid only if the SL-TL-(NL-DI) of target noise A is greater than the detection threshold DT of sonar B. Each point on the sound line emitted by A, where the sound source level SL is the radiated noise of the target, generated by the target A; NL-DI is the self-noise and ambient noise levels received by the directional transducer, which are related to the detection Threshold DT is determined by sonar B. When target A and sonar B are determined, SL and NL-DI can be regarded as constants, so judging whether the sound ray trajectory is effective mainly depends on the propagation loss TL. Due to the geometric attenuation and physical absorption caused by the expansion of the wavefront, the sound intensity will gradually weaken during the propagation process, and the process of converting the sound energy into heat energy is physical absorption, and the corresponding reduced sound intensity is the propagation loss. The propagation loss can be obtained from the propagation distance and the radiated noise frequency, and the formula is expressed as:

TL=15lgr+0.036f3/2·r+60(dB) (2)TL=15lgr+0.036f 3/2 r+60(dB) (2)

其中r的单位是km,频率单位是kHz。右式的第一项和第三项为几何损失,中间一项是物理吸收损失。声波以球面形式向四周扩散,其最大球半径用r来表示。根据地形可视性的定义,对于无人潜航器而言,在地形可视性值较大的区域说明被发现的概率较大,不宜在此范围航行,因此本专利首先对地形可视性值进行归一化,用地形可视性值表征无人潜航器的探测威胁度vis。将各位置(xi,yi)的探测威胁度vis与隐蔽安全指标vismax相比较并得到各位置的威胁评价visi,即当visi≥vismax时说明此时位置极不隐蔽,令visi=1,当visi<vismax时,则visi<1数值不变。The unit of r is km and the unit of frequency is kHz. The first and third terms of the right equation are geometric losses, and the middle term is the physical absorption loss. The sound wave spreads around in the form of a sphere, and its maximum spherical radius is represented by r. According to the definition of terrain visibility, for the unmanned underwater vehicle, the probability of being found in the area with a large terrain visibility value is high, and it is not suitable to navigate in this range. Therefore, this patent firstly evaluates the terrain visibility value After normalization, the terrain visibility value is used to characterize the detection threat degree vis of the UUV. Compare the detection threat degree vis of each location (x i , y i ) with the concealment security index vis max and obtain the threat evaluation vis i of each location, that is, when vis i ≥vis max , it means that the location is not concealed at this time, let vis i =1, when vis i <vis max , the value of vis i <1 remains unchanged.

步骤2:UUV隐蔽安全路径初始化单元,设定路径规划的UUV初始位置、终点位置、最大曲率约束、路径离散点分辨率、隐蔽安全指标等参数或条件,基于环境探测威胁域单元根据隐蔽安全指标定义并离散各个探测威胁域,通过覆盖圆域方法求解威胁域障碍的几何表征;Step 2: UUV covert safety path initialization unit, set parameters or conditions such as UUV initial position, end point position, maximum curvature constraint, path discrete point resolution, covert safety index, etc., based on the environment detection threat domain unit according to covert safety index Define and discretize each detection threat domain, and solve the geometric representation of the obstacles in the threat domain by covering the circle domain method;

所述UUV采用定高方式航行状态,参数包括UUV初始位置坐标(xs,ys,zs),初始位置坐标(xf,yf,zf),约束条件包括最大曲率约束κmax以及隐蔽安全指标vismax。令航行高度为z0,则在高程信息一定的情况下,三维UUV路径规划问题转化为二维问题,并根据高程地形的网格表示形式将z0与各个地形高程zi进行阶跃函数计算,即The UUV adopts a fixed-altitude navigation state, and the parameters include the UUV initial position coordinates (x s , y s , z s ), the initial position coordinates (x f , y f , z f ), and the constraints include the maximum curvature constraint κ max and Covert security indicator vis max . Let the sailing height be z 0 , then when the elevation information is certain, the three-dimensional UUV path planning problem is transformed into a two-dimensional problem, and the step function calculation is performed between z 0 and each terrain elevation zi according to the grid representation of the elevation terrain ,Right now

Figure BDA0001341346080000061
Figure BDA0001341346080000061

将各位置(xi,yi)的探测威胁度vis与隐蔽安全指标vismax相比较并得到各位置的威胁评价visi,并将威胁评价visi与高程信息zi进行类同或运算,所谓类同或是指对于非整数形式的visi而言,当visi<1时,在同或运算中视visi=0,从而得到综合威胁障碍Oi。将栅格化障碍Oi与周围障碍点进行异或运算,得到连续障碍物

Figure BDA0001341346080000062
的最大范围,并根据覆盖圆域方法对连续障碍物
Figure BDA0001341346080000071
实现的最大圆形表征。Compare the detection threat degree vis of each position (x i , y i ) with the hidden security index vis max to obtain the threat assessment vis i of each position, and perform the similar OR operation on the threat assessment vis i and the elevation information zi , The so-called similarity means that for non-integer vis i , when vis i <1, vis i =0 is considered in the same-OR operation, thereby obtaining the comprehensive threat obstacle O i . XOR the rasterized obstacle O i with the surrounding obstacle points to obtain continuous obstacles
Figure BDA0001341346080000062
, and according to the coverage circle method for continuous obstacles
Figure BDA0001341346080000071
The largest circular representation achieved.

覆盖圆域方法具体实现方法为,为防止产生凹障碍几何形状,根据连续障碍物

Figure BDA0001341346080000072
所占栅格点构成的多边形,以多边形最大/最小经度、最大/最小纬度为界,扩展为矩阵
Figure BDA0001341346080000073
则表征连续障碍物
Figure BDA0001341346080000074
的最大圆形
Figure BDA0001341346080000075
的圆心位置与半径长度分别为矩阵
Figure BDA0001341346080000076
的中心位置及1/2对角线长度。The specific implementation method of the covering circle domain method is, in order to prevent the generation of concave obstacle geometry, according to the continuous obstacle
Figure BDA0001341346080000072
The polygon formed by the occupied grid points is bounded by the maximum/minimum longitude and maximum/minimum latitude of the polygon, and expanded into a matrix
Figure BDA0001341346080000073
represents a continuous obstacle
Figure BDA0001341346080000074
the largest circle of
Figure BDA0001341346080000075
The position of the center of the circle and the length of the radius are the matrices
Figure BDA0001341346080000076
The center position and 1/2 diagonal length of .

步骤3:UUV安全路径点生成单元,根据UUV的起始点As位置,随机生成第一个路径点A11,使得As与A11间的线段长度不超过dm,且路径不与威胁域障碍发生碰撞,其中Anm中的m和n分别表示第n条路径上的第m个点;Step 3: The UUV safe waypoint generation unit randomly generates the first waypoint A11 according to the position of the starting point A s of the UUV, so that the length of the line segment between A s and A 11 does not exceed d m , and the path is not related to the threat domain. The obstacle collides, where m and n in A nm represent the mth point on the nth path, respectively;

通过运用计算几何学原理判断点As(xs,ys)与A11(x11,y11)间的路径是否连通可达。根据As(xs,ys)与A11(x11,y11)的线段求得所在的线性函数Ls-11,即Determine whether the path between the point A s (x s , y s ) and A 11 (x 11 , y 11 ) is connected and reachable by applying the principles of computational geometry. According to the line segment of A s (x s , y s ) and A 11 (x 11 , y 11 ), the linear function L s-11 where it is located is obtained, that is,

Figure BDA0001341346080000077
Figure BDA0001341346080000077

对于某个障碍圆Obi,分别求出其圆心Oi(xoi,yoi)到AsA11线段距离lLs-11,并将其分别与Obi的半径ROi比较,当lLs-11>ROi时,表明Obi不影响AsA11的连通性,由此依次判断各个障碍圆,可判断As(xs,ys)点与A11(x11,y11)间的路径是否连通可达。其中For a certain obstacle circle Ob i , calculate the distance l Ls-11 from its center O i (x oi , y oi ) to the line segment of A s A 11 , and compare it with the radius R Oi of Ob i , when l Ls When -11 > R Oi , it means that Ob i does not affect the connectivity of A s A 11 . From this, each obstacle circle is judged in turn, and it can be judged that the point A s (x s , y s ) and A 11 (x 11 , y 11 ) Whether the path between them is reachable or not. in

Figure BDA0001341346080000078
Figure BDA0001341346080000078

Figure BDA0001341346080000079
Figure BDA0001341346080000079

步骤4:UUV隐蔽路径生成单元,根据As与A11的位置关系依次生成后续的路径点A12,A13,A14,...,A1m并将其两两相连得到路径P1,使得P1不与威胁域障碍发生碰撞,并用相同的方式生成一组求得不与障碍物发生碰撞的路径簇

Figure BDA00013413460800000710
N为自然数,且每个路径点均满足UUV的最大曲率约束下的最大转角范围。其中规划路径的曲线控制点四维由空间三维坐标与一维威胁坐标组成,规划路径也由包含空间三维坐标与威胁坐标时间坐标的四维坐标描述;Step 4: The UUV hidden path generation unit generates subsequent path points A 12 , A 13 , A 14 ,..., A 1m in turn according to the positional relationship between A s and A 11 and connects them two by two to obtain a path P 1 , Make P 1 do not collide with obstacles in the threat domain, and generate a set of path clusters that do not collide with obstacles in the same way
Figure BDA00013413460800000710
N is a natural number, and each path point satisfies the maximum turning angle range under the maximum curvature constraint of UUV. The four-dimensional curve control point of the planned path is composed of three-dimensional spatial coordinates and one-dimensional threat coordinates, and the planned path is also described by four-dimensional coordinates including three-dimensional spatial coordinates and time coordinates of threat coordinates;

将整个环境基于北东坐标系进行构造,由于每个路径点之间的连线长度均不超过dm,当dm设定在合理范围内时,根据局部线性化原理可认为折线路径Pn是曲线路径的线性化表征。设定UUV路径点步长最大值ρmax,且ρmax不宜设置过大,从而使得路径点间通过局部线性化表征UUV的曲线路径。各个路径点位置直接采用坐标编码,基因用实数点坐标表示,染色体由数目不定的点连接表示。The entire environment is constructed based on the north-east coordinate system. Since the length of the connecting line between each path point does not exceed d m , when d m is set within a reasonable range, the polyline path P n can be considered according to the principle of local linearization is a linearized representation of the curvilinear path. The maximum step size ρ max of the UUV path point is set, and ρ max should not be set too large, so that the curve path of the UUV is represented by local linearization between the path points. The position of each waypoint is directly coded by coordinates, the gene is represented by real point coordinates, and the chromosome is represented by an indeterminate number of point connections.

如图3所示,路径中的点Am均由Am-1(xm-1,ym-1)和Am-2(xm-2,ym-2)所构成的满足UUV最大曲率约束的范围Dm中随机产生,其中令Dm的范围由极坐标形式(ρm-1m-1)表示,上标m-1表示Am-1为原点,且坐标轴Xm-1和Ym-1分别与北东平行时的坐标,并满足ρm-1∈(0,ρmax),θm-1∈(-γ+ε,γ+ε),其中ε为Am-1(xm-1,ym-1)与Am-2(xm-2,ym-2)间线段所在直线的斜率。As shown in Figure 3, the points Am in the path are composed of A m -1 (x m-1 , y m-1 ) and A m-2 (x m-2 , y m-2 ) which satisfy the UUV The maximum curvature constraint range D m is randomly generated, where the range of D m is represented by the polar coordinate form (ρ m-1 , θ m-1 ), the superscript m-1 indicates that A m-1 is the origin, and the coordinate axis The coordinates when X m-1 and Y m-1 are respectively parallel to the northeast and satisfy ρ m-1 ∈(0,ρ max ), θ m - 1 ∈(-γ+ε,γ+ε), where ε is the slope of the straight line where the line segment between A m-1 (x m-1 , y m-1 ) and A m-2 (x m-2 , y m-2 ) is located.

由于每个路径点之间的连线长度设定在合理范围内时,根据局部线性化原理可认为折线路径是曲线路径的线性化表征。根据解析几何原理,当O'Am-1=O'Am-2=1/κmax时,能够得到最大范围Dm,由于

Figure BDA0001341346080000081
令最大曲率约束为κmax,根据余弦定理可知
Figure BDA0001341346080000082
则γ由式(7)求得:Since the length of the connection between each path point is set within a reasonable range, according to the principle of local linearization, it can be considered that the polyline path is a linearized representation of the curve path. According to the principle of analytic geometry, when O'A m-1 =O'A m-2 =1/κ max , the maximum range D m can be obtained, because
Figure BDA0001341346080000081
Let the maximum curvature constraint be κ max , according to the law of cosines
Figure BDA0001341346080000082
Then γ can be obtained from formula (7):

Figure BDA0001341346080000083
Figure BDA0001341346080000083

因此以Am-1为圆心,张角为2γ,半径dm内构成的扇形即为UUV最大曲率约束的范围Dm,其中弧的两段坐标分别为(dmcos(γ+ε)-xm-1,dmcos(γ+ε)-ym-1),(dmcos(ε-γ)-xm-1,dmcos(ε-γ)-ym-1),

Figure BDA0001341346080000084
为Am-1Am-2的斜率。在范围Dm中随机生成
Figure BDA0001341346080000085
Figure BDA0001341346080000086
下一路径点
Figure BDA0001341346080000087
并通过坐标转换得到北东坐标系下的坐标
Figure BDA0001341346080000088
Therefore, taking A m-1 as the center of the circle, the opening angle is 2γ, the sector formed within the radius d m is the range D m constrained by the maximum curvature of the UUV, and the coordinates of the two segments of the arc are (d m cos(γ+ε)- x m-1 ,d m cos(γ+ε)-y m-1 ), (d m cos(ε-γ)-x m-1 ,d m cos(ε-γ)-y m-1 ),
Figure BDA0001341346080000084
is the slope of A m-1 A m-2 . Randomly generated in range D m
Figure BDA0001341346080000085
and
Figure BDA0001341346080000086
next waypoint
Figure BDA0001341346080000087
And get the coordinates in the north-east coordinate system through coordinate transformation
Figure BDA0001341346080000088

步骤5:UUV隐蔽路径修正优化单元,设置机动可行曲线簇

Figure BDA0001341346080000089
为候选路径种群,基于探测威胁域单元计算隐蔽路径的安全综合代价Fc,采用安全约束进化算法修正当前机动可行曲线簇
Figure BDA00013413460800000810
并选取UUV在三维环境下满足运动学约束的最优隐蔽安全路径;Step 5: UUV hidden path correction optimization unit, set maneuverable feasible curve cluster
Figure BDA0001341346080000089
is the candidate path population, calculates the security comprehensive cost F c of the hidden path based on the detection threat domain unit, and uses the security constraint evolution algorithm to correct the current maneuverable feasible curve cluster
Figure BDA00013413460800000810
And select the optimal concealed safe path that satisfies the kinematic constraints of UUV in 3D environment;

当前由N条机动可行路径构成的路径簇

Figure BDA00013413460800000811
满足UUV的运动学条件,但不满足其安全性约束,本要求以探测威胁度和路径长度为代价构建适应性函数,如(8)式进行描述:The current path cluster consisting of N maneuvering feasible paths
Figure BDA00013413460800000811
Satisfying the kinematic conditions of UUV, but not meeting its security constraints, this requirement builds an adaptive function at the cost of detection threat degree and path length, as described in equation (8):

Fc(i)=wthr·thr(i)+wd·dist(i) (8)F c (i)=w thr ·thr(i)+w d ·dist(i) (8)

其中wthr与wd为加权系数,thr(i)=1/vis(i)为探测威胁度,dist(i)为路径长度,可通过解析几何求出。每个机动可行曲线均为单个独立个体,设置种群迭代次数Num,根据式(3)计算当前各个个体的适应性函数,采用安全约束进化算法选择一定数量的适应度最高的个体最为次代的父母,并进行伴有一定随机突变概率的不断地配对,产生新一代群体,然后重新计算新个体的适应性函数,迭代更新直至达到最大迭代次数Num,而最终选择适应性最高的路径即为最优隐蔽安全路径;该函数表示路径越短且隐蔽性越好的染色体适应度越大,遗传到下一代的概率越大,最终在适应度函数的引导下将规划出一条最优路径或次最优路径(满意解)。为便于理解路径中各个路径点的关系,后文中的路径点将采用Xi表示。本发明的遗传操作模块包含选择算子、交叉算子、变异算子、特殊插入算子和特殊删除算子,其具体实施方法为:Where w thr and w d are weighting coefficients, thr(i)=1/vis(i) is the detection threat degree, and dist(i) is the path length, which can be obtained by analytical geometry. Each maneuvering feasible curve is a single independent individual, and the population iteration number Num is set, and the current fitness function of each individual is calculated according to formula (3), and the safety constraint evolution algorithm is used to select a certain number of individuals with the highest fitness to be the parents of the next generation, And carry out continuous pairing with a certain random mutation probability to generate a new generation of groups, and then recalculate the fitness function of the new individual, iteratively update until the maximum number of iterations Num is reached, and finally select the path with the highest adaptability is the optimal concealment Safe path; this function indicates that the shorter the path and the better the concealment, the greater the fitness of the chromosome, the greater the probability of inheritance to the next generation, and finally an optimal or sub-optimal path will be planned under the guidance of the fitness function. (satisfactory solution). In order to facilitate the understanding of the relationship of each waypoint in the route, the waypoint in the following text will be represented by X i . The genetic manipulation module of the present invention includes a selection operator, a crossover operator, a mutation operator, a special insertion operator and a special deletion operator, and its specific implementation method is:

1、选择过程1. Selection process

(1)按照设计好的适应度函数计算各个体的适应度Fc(i);(1) Calculate the fitness F c (i) of each individual according to the designed fitness function;

(2)求出所有个体的适应度之和sum;(2) Find the sum of the fitness of all individuals;

(3)计算各个体适应度所占比例cfitness(i)=Fc(i)/sum;(3) Calculate the proportion of fitness of each individual cfitness(i)=F c (i)/sum;

(4)求出各个体适应度比例累计值;(4) Calculate the cumulative value of the fitness ratio of each individual;

(5)通过产生一个(0,1)之间的随机数X;(5) By generating a random number X between (0,1);

(6)从第一个个体开始依次用其cfitness值与随机数X比较,第一个出现cfitness值比X大(即随机数落在该个体的概率区域内)的个体i被选为此次操作的遗传对象;(6) From the first individual, its cfitness value is compared with the random number X in turn, and the first individual i whose cfitness value is larger than X (that is, the random number falls within the probability area of the individual) is selected as the operation. the genetic object of

(7)重复上述(5)、(6)操作,直到遗传的的个体达到规定个数。(7) Repeat the operations (5) and (6) above until the number of inherited individuals reaches a predetermined number.

为了加快整体寻优的速度,保证个体适应度越来越好,选择完成之后加入精英保留策略:In order to speed up the overall optimization and ensure that the individual fitness is getting better and better, the elite retention strategy is added after the selection is completed:

(1)找出当前群体中最优个体和最差个体;(1) Find the best individual and the worst individual in the current group;

(2)将当前最优个体与迄今为止的最优个体适应度进行比较,如果当前最优个体适应度更好,则把当前最优个体作为新的迄今为止的最优个体;(2) Compare the fitness of the current optimal individual with the fitness of the optimal individual so far, and if the fitness of the optimal individual is better, take the current optimal individual as the new optimal individual so far;

(3)用迄今为止的最优个体替换当前群体中的最差个体。(3) Replace the worst individual in the current population with the best individual so far.

2、交叉过程在理论上有单点交叉和多点交叉,鉴于航行器路径规划时要保证路径的连续性,本发明选择从某一点开始多点交叉,以尽量保证路径的连续性:2. The intersection process theoretically includes single-point intersection and multi-point intersection. In view of the need to ensure the continuity of the path when planning the aircraft path, the present invention chooses to start from a certain point for multi-point intersection to ensure the continuity of the path as much as possible:

(1)将染色体两两随机配对,以交叉概率Pc对各对染色体判断是否进行交叉操作;(1) The chromosomes are randomly paired in pairs, and each pair of chromosomes is judged whether to perform the crossover operation with the crossover probability Pc ;

(2)若满足交叉概率,则先随机产生一个交叉点i;(2) If the crossover probability is satisfied, a crossover point i is randomly generated first;

(3)将配对的两个染色体从交叉点i开始一直到最后一个基因n都进行相互交叉操作,即多点同时交叉;(3) The paired two chromosomes are crossed with each other from the crossover point i to the last gene n, that is, multipoint crossover at the same time;

(4)两个染色体随机交叉之后,两条新染色体在随机产生的交叉位置Xi与上一位置Xi-1之间可能存在障碍物或者Xi不在Xi-2与Xi-1联合确定的航行约束范围,不满足要求,因此我们针对此种情况引入特殊的插入算子,进行插入操作,使最终的航行路径合理化;(4) After the two chromosomes are randomly crossed, there may be obstacles between the randomly generated crossover position Xi and the previous position Xi -1 for the two new chromosomes , or X i is not combined with Xi -2 and Xi -1 The determined range of navigation constraints does not meet the requirements, so we introduce a special insertion operator for this situation to perform insertion operations to rationalize the final navigation path;

(5)重复(2)至(4)步骤,对所有配对染色体按上述过程操作一遍,则交叉完成。(5) Steps (2) to (4) are repeated, and the above process is performed for all paired chromosomes, and the crossover is completed.

3、变异过程的目的有两个:一是增强遗传算法的局部搜索能力,二是保持种群的多样性,防止早熟现象,出现局部最优解。本发明采用基本位变异方法:3. The purpose of the mutation process is two: one is to enhance the local search ability of the genetic algorithm, and the other is to maintain the diversity of the population, prevent the phenomenon of premature maturity, and appear the local optimal solution. The present invention adopts the basic bit mutation method:

(1)以变异概率Pm对各个体进行判断是否进行变异操作;(1) Judging whether to perform mutation operation on each individual with mutation probability P m ;

(2)若满足变异概率,则随机产生一个变异位置Xi(2) If the mutation probability is satisfied, a mutation position X i is randomly generated;

(3)在变异位置对染色体基因进行变异。变异有两个基本原则:(3) Variation of chromosomal genes at the mutation position. There are two basic principles of mutation:

一方面,新产生的位置Xi必须基于前两个相邻位置Xi-2与Xi-1且满足UUV的航行约束范围DmOn the one hand, the newly generated position X i must be based on the first two adjacent positions X i-2 and X i-1 and satisfy the navigation constraint range D m of the UUV;

另一方面,新产生的位置Xi必须与前一位置Xi-1之间没有障碍物。On the other hand, there must be no obstacle between the newly generated position X i and the previous position X i-1 .

若变异产生的新位置不满足以上两个基本原则,则重新选择变异位置至满足要求。If the new position generated by the mutation does not meet the above two basic principles, the mutation position is reselected to meet the requirements.

(4)重复(2)、(3)操作,对所有染色体按上述过程操作一遍,则变异完成。(4) Repeat operations (2) and (3), and operate on all chromosomes according to the above process, and then the mutation is completed.

4、插入操作和删除操作4. Insert and delete operations

在本发明中,遗传算法按照随机原则产生的航行路径有利于种群的多样性,但是会出现许多同一位置(实际路径表现为绕圈子),针对这个问题本发明提出了删除算子,同时交叉操作很可能会使得新路径在交叉位置附近不再满足交叉的两个基本原则,于是提出插入算子:In the present invention, the navigation path generated by the genetic algorithm according to the random principle is beneficial to the diversity of the population, but there will be many identical positions (the actual path is shown as a circle). Aiming at this problem, the present invention proposes a deletion operator, and the crossover operation is very important. It may make the new path no longer satisfy the two basic principles of intersection near the intersection position, so the insertion operator is proposed:

(1)把交叉位置的前一位置Xi-1作为始点,交叉位置Xi作为终点;(1) Take the previous position X i-1 of the intersection position as the starting point, and the intersection position X i as the end point;

(2)运用产生初始种群的方法,在Xi-1与Xi之间产生一系列满足要求的航行位置,使Xi-1与Xi成为一段可行路径。(2) Using the method of generating the initial population, a series of sailing positions that meet the requirements are generated between Xi -1 and Xi , so that Xi -1 and Xi become a feasible path.

删除操作具体的实施步骤为:The specific implementation steps of the deletion operation are as follows:

(1)从路径的当前位置Xi(包括起始点)开始,从前往后找出第一个相同位置Xm,删除Xi到Xm之间的所有位置(包括Xi);(1) Starting from the current position X i (including the starting point) of the path, find the first identical position X m from front to back, and delete all positions (including X i ) between X i and X m ;

(2)以Xm为当前位置继续找下个相同的位置,删除它与下个相同位置之间的所有位置(包括Xm);(2) Continue to find the next identical position with X m as the current position, and delete all positions (including X m ) between it and the next identical position;

(3)重复执行(1)、(2)两步,直到当前位置为最后终点,停止删除操作,删除操作完成。(3) Repeat steps (1) and (2) until the current position is the last end point, stop the deletion operation, and the deletion operation is completed.

最后,鉴于本发明依赖的地图环境比较大,所以对规划时间不做强行要求,因此终止条件直接设定为种群遗传代数超过设定值则立即结束遗传操作,输出最终结果。Finally, since the map environment that the present invention relies on is relatively large, there is no mandatory requirement for planning time. Therefore, the termination condition is directly set as the genetic algebra of the population exceeds the set value, and the genetic operation is terminated immediately, and the final result is output.

步骤6:UUV隐蔽路径输出单元输出已重构得到的满足约束条件的隐蔽安全路径。Step 6: The UUV covert path output unit outputs the reconstructed covert safe path that satisfies the constraints.

输出规划的无人潜航器路径,包括步骤2至5中得到的最优路径Pn的各个路径点Anm以及初始和终止点,以及各个路径点的探测威胁度。Output the planned path of the UUV, including each path point A nm of the optimal path P n obtained in steps 2 to 5, as well as the initial and termination points, and the detection threat degree of each path point.

综上,本发明是一种基于探测威胁域的无人潜航器路径规划装置,采用基于探测威胁域的路径规划算法来解决地形障碍环境下UUV的路径规划问题,规划出来的路径能够满足UUV本身运动学约束、避碰约束以及隐蔽探测约束等。在给定UUV的初始位置、终点位置、最大曲率约束、路径离散点分辨率、隐蔽安全指标等参数或条件,规划出从UUV运动起点到终点的路径,规划的路径光滑连续可导,满足UUV的航行转弯曲率约束、隐蔽安全指标等,使其以最短时间安全隐蔽到达终点。本发明首次将探测威胁理论与航行转弯曲率约束的几何理论应用到UUV的路径规划领域中。该方法能快速实现UUV路径规划,方法简单可靠,易于实现,计算量小,实时性较好,能较好的满足UUV的路径规划要求,提高了UUV路径规划的实用性,对今后水下路径规划领域的发展有着积极意义。In summary, the present invention is a path planning device for unmanned underwater vehicles based on the detection threat domain. The path planning algorithm based on the detection threat domain is used to solve the UUV route planning problem in the terrain obstacle environment, and the planned route can satisfy the UUV itself. Kinematic constraints, collision avoidance constraints, and covert detection constraints. Given parameters or conditions such as the initial position, end position, maximum curvature constraint, resolution of discrete points of the path, hidden safety indicators, etc. of the UUV, plan a path from the starting point to the end point of the UUV motion. Constraints on the curvature of the sailing turn, concealment safety indicators, etc., so that it can reach the end point safely and concealed in the shortest time. The invention firstly applies the detection threat theory and the geometric theory of navigation turning curvature constraint to the path planning field of UUV. The method can quickly realize UUV path planning. The method is simple and reliable, easy to implement, small in calculation amount, and good in real-time performance. It can better meet the UUV path planning requirements, and improve the practicability of UUV path planning. Developments in the field of planning have positive implications.

Claims (4)

1. Unmanned underwater vehicle route planning device based on survey threat territory, its characterized in that: the method comprises an environment detection threat domain unit, a UUV hidden path initialization unit, a UUV safe path point generation unit, a UUV hidden path correction optimization unit and a UUV hidden path output unit, wherein the environment detection threat domain unit constructs a UUV navigation basic space frame according to given underwater environment parameters by an interpolation method and calculates a threat index which can be detected at each position point by adopting an underwater visibility method; the UUV hidden path initialization unit is connected with the environment detection threat domain unit, defines and disperses each detection threat domain according to hidden safety indexes, threatens the geometric representation of the domain obstacle by a covering circle domain method, and receives UUV navigation initial parameters or conditions; the UUV safe path point generating unit generates a UUV safe path point according to the initial point A of the UUVsPosition, randomly generating the next path point A11To prevent the path from colliding with the threat domain obstacleCollision; the UUV hidden path generating unit generates a hidden path according to AsAnd A11Sequentially generates the subsequent path points A12,A13,...,A1mAnd connecting the two paths to obtain a path P1So that P is1Does not collide with the obstacle in the threat domain, and generates a group of path curve clusters which do not collide with the obstacle in the same way
Figure FDA0002515794470000011
The UUV hidden path correction optimization unit is provided with a flexible and feasible path curve cluster
Figure FDA0002515794470000012
For candidate path population, a safety constraint evolutionary algorithm is adopted to correct the path curve cluster which is feasible by the current maneuver
Figure FDA0002515794470000013
Selecting an optimal hidden safety path of the UUV which meets the kinematic constraint in the three-dimensional environment; and the UUV hidden path output unit receives and outputs the planned optimal hidden safety path meeting the constraint condition.
2. The unmanned underwater vehicle path planning method based on the detection threat domain is characterized by comprising the following steps: the unmanned underwater vehicle path planning device based on the detection threat domain comprises the following steps:
step 1: the method comprises the following steps that an environment detection threat domain unit constructs a basic space frame of an underwater environment, sets latitude and longitude and elevation information of a navigation range, a terrain interpolation method and an environment unit resolution, calculates detected threat evaluation of each position point in an underwater environment model according to the environment unit resolution and an underwater visibility method, and fuses with the latitude and longitude information of the environment to form four-dimensional coordinate description;
the threat assessment is: the detection threat vis of the unmanned underwater vehicle is characterized by a terrain visibility value; each position point (x)i,yi) Detection of threat level vis and covert security index vismaxCompared with each other to obtainThreat assessment vis to locationsi: when visi≥vismaxThe time indicates that the position is not hidden at this time, so that visiWhen vis 1i<vismaxThen, then visiThe value is less than 1 and is not changed;
step 2: the UUV navigates in a fixed-height mode, the hidden safe path initialization unit of the UUV sets state parameters and constraint conditions of path planning, the state parameters comprise the initial position and the final position of the UUV, and the constraint conditions comprise maximum curvature constraint kappamaxConcealed safety index vismax(ii) a Defining and dispersing each detection threat domain according to the concealed safety index based on an environment detection threat domain unit, and solving the geometric representation of the threat domain obstacle by a covering circular domain method;
and step 3: a UUV safe path point generating unit, wherein the UUV navigates in a height-fixed mode according to the initial position of the UUV, and the initial point is set as AsAnd randomly generating a first path point A11And make AsAnd A11Length of line between does not exceed dmAnd the path does not collide with the threat domain obstacle, wherein AnmM and n in (1) respectively represent the m-th point on the n-th path;
judging point A by using the principles of computational geometrys(xs,ys) And A11(x11,y11) Whether the paths between the two are connected can be reached: according to As(xs,ys) And A11(x11,y11) Linear function L of the line segments-11
Figure FDA0002515794470000021
For a certain obstacle circle ObiRespectively find out the center O of the circlei(xoi,yoi) To AsA11Distance of line segment lLs-11And respectively reacting them with ObiRadius R ofOiAnd (3) comparison: when l isLs-11>ROiWhen it is shown that Ob isiDoes not affect AsA11Thereby sequentially judging each barrierObstruct the circle, obtain As(xs,ys) Point and point A11(x11,y11) Whether the paths between the two paths are communicated and can be reached;
and 4, step 4: the UUV hidden path generating unit generates a hidden path according to AsAnd A11Sequentially generates the subsequent path points A12,A13,A14,...,A1mAnd connecting the two paths to obtain a path P1So that P is1Does not collide with the obstacle in the threat domain, and generates a group of path curve clusters which do not collide with the obstacle in the same way
Figure FDA0002515794470000022
N is a natural number, and each path point meets the maximum rotation angle range under the maximum curvature constraint of the UUV;
the length of the connecting line between each path point does not exceed dmWhen d ismWhen the distance is set within a reasonable range, the broken line path P can be considered according to the local linearization principlenThe method is characterized by comprising the following steps that a curve path is represented in a linear mode, wherein the four dimensions of a curve control point of a planned path are composed of a space three-dimensional coordinate and a one-dimensional threat coordinate, and the planned path is also described by a four-dimensional coordinate comprising the space three-dimensional coordinate and the threat coordinate;
and 5: UUV hidden path correction optimization unit is set with flexible and feasible path curve cluster
Figure FDA0002515794470000023
Calculating the safe comprehensive cost of the hidden path for the candidate path population based on the detection threat domain unit, and correcting the current feasible path curve cluster by adopting a safe constraint evolution algorithm
Figure FDA0002515794470000024
Selecting an optimal hidden safety path of the UUV which meets the kinematic constraint in the three-dimensional environment;
step 6: and the UUV hidden path output unit outputs the reconstructed hidden security path which meets the constraint condition.
3. The unmanned underwater vehicle path planning method based on the detection threat domain according to claim 2, characterized in that: the step 2 specifically comprises the following steps: setting the sailing height as z0And z is expressed in terms of a grid representation of the elevation terrain0To various terrain elevations ziPerforming step function calculation:
Figure FDA0002515794470000025
evaluating threats visiAnd elevation information ziPerforming an identity-or operation, i.e. for non-integer forms of visiIn other words, when visiWhen < 1, the vis is viewed in the same or operationi0, thereby obtaining the comprehensive threat obstacle COi(ii) a Rasterizing barrier GCOiPerforming XOR operation with surrounding obstacle points to obtain continuous obstacles
Figure FDA0002515794470000031
And according to a method of covering a circular field for a continuous obstacle
Figure FDA0002515794470000032
Maximum circular characterization achieved;
the method for covering the circular domain specifically comprises the following steps: according to continuous obstacles, to prevent concave obstacle geometry
Figure FDA0002515794470000033
The occupied polygon formed by the grid points is expanded into a matrix by taking the maximum/minimum longitude and the maximum/minimum latitude of the polygon as boundaries
Figure FDA0002515794470000034
Then a continuous obstacle is characterized
Figure FDA0002515794470000035
Maximum circular shape of
Figure FDA0002515794470000036
The circle center position and the radius length of the matrix are respectively
Figure FDA0002515794470000037
And 1/2 diagonal length.
4. The unmanned underwater vehicle path planning method based on the detection threat domain according to claim 2, characterized in that: in the step 5: constructing an adaptive function at the cost of probing threat and path length as follows:
Fc(i)=wthr·thr(i)+wd·dist(i)
wherein: w is athrAnd wdFor weighting coefficients, thr (i) ═ 1/vis (i) is the degree of detection threat, dist (i) is the path length, each feasible maneuver curve is a single independent individual, the population iteration number Num is set to obtain the adaptability function of each individual at present, a certain number of parents with the highest adaptability of the individual with the highest adaptability are selected by adopting a safety constraint evolution algorithm, continuous pairing accompanied by a certain random mutation probability is carried out to generate a new generation population, then the adaptability function of the new individual is recalculated, iterative updating is carried out until the maximum iteration number Num is reached, and finally the path with the highest adaptability is selected as the optimal covert safety path.
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