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CN108646782A - A kind of unmanned plane safe flight method - Google Patents

A kind of unmanned plane safe flight method Download PDF

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Publication number
CN108646782A
CN108646782A CN201810416129.9A CN201810416129A CN108646782A CN 108646782 A CN108646782 A CN 108646782A CN 201810416129 A CN201810416129 A CN 201810416129A CN 108646782 A CN108646782 A CN 108646782A
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uav
flight
safe
unmanned aerial
time slot
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肖霖
徐瑜
杨鼎成
张天魁
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Nanchang University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/10Simultaneous control of position or course in three dimensions
    • G05D1/101Simultaneous control of position or course in three dimensions specially adapted for aircraft

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  • Aviation & Aerospace Engineering (AREA)
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  • Automation & Control Theory (AREA)
  • Traffic Control Systems (AREA)
  • Control Of Position, Course, Altitude, Or Attitude Of Moving Bodies (AREA)

Abstract

The application provides a kind of unmanned plane safe flight method, includes the following steps:S1 initializes flight path;S2, differentiation setting;S3, safe distance setting;The communication dispatch relationship of S4 unmanned planes and ground node is arranged;S5, optimization unmanned plane track;S6 judges whether the route after optimization is optimum state;If being judged as YES, enter S7;If being judged as NO, return to step S4;S7, output:Unmanned plane flies according to the route after S6 optimization orders.The application has coordinated the communication dispatch relationship between unmanned plane and ground node, while improving the safety flown between multiple no-manned plane system unmanned plane, has effectively evaded the risk of collision between unmanned plane by the way that the differentiation factor is arranged.

Description

一种无人机安全飞行方法A method for safe flight of unmanned aerial vehicles

技术领域technical field

本申请涉及一种无人机安全飞行技术领域,尤其涉及一种无人机安全飞行方法。The present application relates to the technical field of safe flight of unmanned aerial vehicles, and in particular to a method for safe flight of unmanned aerial vehicles.

背景技术Background technique

现有技术中,无人机在无线通信领域取得了越来越多的关注和应用。与传统的地面通信系统相比,无人机通信系统具有灵活机动、结构简单、移动可控等一系列优势,可以实现灵活快速部署,增强通信网络覆盖性能,极大方便无人机在无线通信系统中用来进行一系列通信操作,如作为临时空中基站来为热点地区进行数据分流,或为灾后通讯设施损坏的地区重新建立通信连接。但由于无人机续航能力极为有限,在对无人机的研究上,一般着重于无人机的轨迹优化、通信资源分配等问题。In the prior art, unmanned aerial vehicle (UAV) has obtained more and more attention and application in the field of wireless communication. Compared with the traditional ground communication system, the UAV communication system has a series of advantages such as flexible maneuverability, simple structure, and controllable movement. The system is used to carry out a series of communication operations, such as serving as a temporary base station in the air to distribute data for hotspot areas, or to re-establish communication connections for areas where communication facilities have been damaged after disasters. However, due to the extremely limited endurance of UAVs, the research on UAVs generally focuses on the trajectory optimization of UAVs and the allocation of communication resources.

利用多个无人机同时为地面多个用户提供服务,是未来无人机通信场景中更为普遍的方式。对多无人机协同通信系统而言,目前的研究主要体现在静止部署和无差异化多人机的研究上,无差异化即多人机之间的通信性能一致,不考虑个体差异和特殊任务场景对差异化设计的要求,这可能并不能满足一些实际的场景的需求。另外,现有技术中缺乏对无人机之间飞行安全性的探讨,比如如何有效规避无人机之间的碰撞风险。Using multiple UAVs to provide services to multiple users on the ground at the same time is a more common way in future UAV communication scenarios. For multi-UAV cooperative communication systems, the current research is mainly reflected in the research of static deployment and non-differentiated multi-machines. No differentiation means that the communication performance between multiple UAVs is the same, regardless of individual differences and special features. Task scenarios require differentiated design, which may not meet the needs of some actual scenarios. In addition, there is a lack of discussion on flight safety between UAVs in the prior art, such as how to effectively avoid the risk of collision between UAVs.

发明内容Contents of the invention

为达到上述目的,本申请提供一种一种无人机安全飞行方法,包括以下步骤:In order to achieve the above purpose, the present application provides a method for safe flight of unmanned aerial vehicles, comprising the following steps:

S1,初始化飞行轨迹:设置无人机在飞行区域内的初始飞行轨迹为圆形,以所述飞行区域的几何中心作为原点,以与地面平行的直线作为x轴,与地面垂直的直线为y轴建立坐标系,则无人机m的初始飞行轨迹的圆心为:Om=[xm,ym]T,其中T为无人机m的飞行周期;S1, initialize the flight trajectory: set the initial flight trajectory of the UAV in the flight area as a circle, take the geometric center of the flight area as the origin, take the line parallel to the ground as the x-axis, and the line perpendicular to the ground as y axis to establish a coordinate system, then the center of the initial flight trajectory of UAV m is: O m = [x m , y m ] T , where T is the flight period of UAV m;

由无人机m的飞行速度Vm、和无人机m的飞行周期T,能够得到无人机m的飞行轨迹的半径 From the flight speed V m of UAV m and the flight period T of UAV m, the radius of the flight trajectory of UAV m can be obtained

设置N为无人机飞行一周所用的总时隙,δt表示时间离散化后的时隙长度,以公式表示为: Set N as the total time slot used by the UAV to fly for one week, and δt represents the length of the time slot after time discretization, expressed as:

则能够得到无人机m在第n个时隙的位置为:Then the position of UAV m in the nth time slot can be obtained as:

S2,差异化设置:设置差异化因子θm,差异化因子θm与无人机m的吞吐量Cm以及系统总吞吐量C的关系用公式表示为:S2, Differentiation setting: set the differentiation factor θ m , the relationship between the differentiation factor θ m and the throughput C m of the UAV m and the total throughput C of the system is expressed as:

其中,θm≥0且其中M为系统中无人机的数量; where, θ m ≥ 0 and Where M is the number of drones in the system;

S3,安全距离设置:设置与无人机m不同的另一台无人机l,则两台无人机的位置关系为:S3, safety distance setting: setting another UAV l different from the UAV m, then the positional relationship between the two UAVs is:

其中qm[n]表示无人机m在第n个时隙的位置,ql[n]表示无人机l在第n个时隙的位置,D为两台无人机之间的最小安全距离;Where q m [n] represents the position of UAV m in the nth time slot, q l [n] represents the position of UAV l in the nth time slot, and D is the minimum safe distance;

S4,无人机与地面节点的通讯调度关系设置:设置通信调度因子αm,k[n],则无人机m与地面节点k在时隙n的调度关系为:S4. Setting the communication scheduling relationship between the UAV and the ground node: set the communication scheduling factor α m,k [n], then the scheduling relationship between the UAV m and the ground node k at time slot n is:

其中K为系统中地面节点的数量;where K is the number of ground nodes in the system;

S5,优化无人机轨迹;S5, optimize the UAV trajectory;

S6,判断优化后的路线是否为最佳状态;若判断为是,则进入S7;若判断为否,则返回步骤S4;S6, judging whether the optimized route is in the best state; if it is judged to be yes, then enter S7; if it is judged to be no, then return to step S4;

S7,输出:无人机按照S6步骤优化后的路线飞行。S7, output: the drone flies according to the route optimized in step S6.

优选的,其中,不同无人机的飞行轨迹的圆心位置不重合。Preferably, the positions of the centers of the flight trajectories of different drones do not coincide.

优选的,其中,设置Vmax为无人机最大飞行速度,Vmin为无人机最小飞行速度,则有Vmax≥Vm≥VminPreferably, where V max is set as the maximum flight speed of the UAV, and V min is set as the minimum flight speed of the UAV, then V max ≥ V m ≥ V min .

优选的,其中,在步骤S4中,无人机m在节点k的通信速率Preferably, wherein, in step S4, the communication rate of UAV m at node k

其中pk[n]为地面节点k在时隙n的瞬时发射功率;wk为节点k的位置向量,γ0为接收信噪比,H为无人机m距离地面的高度。 Where p k [n] is the instantaneous transmission power of ground node k in time slot n; w k is the position vector of node k, γ 0 is the received signal-to-noise ratio, and H is the height of UAV m from the ground.

优选的,其中,设置地面节点k的最大瞬时发射功率为Pmax,则有0≤pk[n]≤PmaxPreferably, where the maximum instantaneous transmit power of the ground node k is set to P max , then 0≤p k [n]≤P max .

优选的,其中,设置地面节点k发射过程中产生总能量的最大值为Wt,则有: Preferably, where the maximum value of the total energy generated during the launch process of the ground node k is set as W t , then:

优选的,其中,在步骤S6中,判断优化后的路线是否为最佳状态的方法为:设置精度u,将相邻两次优化路线的差值与精度u进行对比,若差值在精度以内,则判断为是。Preferably, wherein, in step S6, the method for judging whether the optimized route is in the best state is: setting the precision u, comparing the difference between two adjacent optimized routes with the precision u, if the difference is within the precision , it is judged as yes.

优选的,其中,在步骤S5中,无人机的轨迹的优化方法包括直接打靶法、配置法和微分包含法。Preferably, wherein, in step S5, the optimization method of the trajectory of the UAV includes a direct shooting method, a configuration method and a differential inclusion method.

本申请实现的有益效果如下:本发明设计了一个差异化多无人机安全飞行方法,通过引入差异化因子,解决了在不同情境、不同需求下不同无人机如何实现无人机工作的差异性的问题;同时通过差异化因子,协调了无人机与地面节点之间的通讯调度关系,使任意时隙只有一个地面节点与任一无人机进行通信,也至有只有一个无人机与任一地面节点建立连接,从而消除同道干扰;本发明还提供了一种多无人机安全飞行方法,能够有效保证多无人机之间安全飞行,避免碰撞,使系统的安全可持续运行得到了保障。The beneficial effects achieved by this application are as follows: the present invention designs a differentiated multi-UAV safe flight method, and by introducing differentiation factors, it solves the difference in how different UAVs realize UAV work in different situations and different needs At the same time, through the differentiation factor, the communication scheduling relationship between the UAV and the ground node is coordinated, so that only one ground node communicates with any UAV in any time slot, and there is only one UAV Establish a connection with any ground node to eliminate co-channel interference; the invention also provides a multi-UAV safe flight method, which can effectively ensure the safe flight between multiple UAVs, avoid collisions, and make the system safe and sustainable. secured.

附图说明Description of drawings

为了更清楚地说明本申请实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本申请中记载的一些实施例,对于本领域技术人员来讲,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments described in this application, and those skilled in the art can also obtain other drawings based on these drawings.

图1为本发明方法步骤示意图。Figure 1 is a schematic diagram of the steps of the method of the present invention.

具体实施方式Detailed ways

下面结合本申请实施例中的附图,对本申请实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本申请一部分实施例,而不是全部的实施例。基于本申请中的实施例,本领域技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本申请保护的范围。The technical solutions in the embodiments of the present application are clearly and completely described below in combination with the drawings in the embodiments of the present application. Obviously, the described embodiments are part of the embodiments of the present application, not all of them. Based on the embodiments in this application, all other embodiments obtained by those skilled in the art without making creative efforts belong to the scope of protection of this application.

本发明提供的无人机安全飞行方法,本实施例应用于无人机安全飞行系统,所述无人机安全飞行系统包括无人机、地面节点用户以及控制系统,所述控制系统与地面节点用户和无人机通讯连接,用于控制无人机的飞行和进行无人机和节点之间的通讯调度。The safe flight method of UAV provided by the present invention, this embodiment is applied to the safe flight system of UAV, and the safe flight system of UAV includes UAV, ground node user and control system, and the control system and ground node The communication connection between the user and the UAV is used to control the flight of the UAV and carry out communication scheduling between the UAV and the node.

如图1所示,实现安全飞行方法包括:As shown in Figure 1, methods to achieve safe flight include:

S1:设无人机在飞行区域内的初始飞行轨迹为圆形,以所述飞行区域的几何中心作为原点,以与地面平行的直线作为x轴,与地面垂直的直线为y轴建立坐标系,则无人机m的初始飞行轨迹的圆心为:Om=[xm,ym]T,其中T为无人机m的飞行周期;S1: Set the initial flight trajectory of the UAV in the flight area as a circle, take the geometric center of the flight area as the origin, take the line parallel to the ground as the x-axis, and the line perpendicular to the ground as the y-axis to establish a coordinate system , then the center of the initial flight trajectory of UAV m is: O m = [x m ,y m ] T , where T is the flight period of UAV m;

由无人机m的飞行速度Vm、和无人机m的飞行周期T,能够得到无人机m的飞行轨迹的半径 From the flight speed V m of UAV m and the flight period T of UAV m, the radius of the flight trajectory of UAV m can be obtained

设置N为无人机飞行一周所用的总时隙,δt表示时间离散化后的时隙长度,以公式表示为: Set N as the total time slot used by the UAV to fly for one week, and δt represents the length of the time slot after time discretization, expressed as:

则能够得到无人机m在第n个时隙的位置为:Then the position of UAV m in the nth time slot can be obtained as:

S2:设置一个差异化因子θm。所述差异化因子的设置可以根据无人机个体差异(如性能差异、续航能力等)和特殊任务场景来进行设置。所述差异化因子θm与无人机m的吞吐量Cm以及系统总吞吐量C的关系用公式表示为:其中,θm≥0且M为系统中无人机的数量。S2: Set a differentiation factor θ m . The setting of the differentiation factor can be set according to individual differences of UAVs (such as performance differences, battery life, etc.) and special task scenarios. The relationship between the differentiation factor θ m and the throughput C m of the drone m and the total system throughput C is expressed as: where, θ m ≥ 0 and M is the number of drones in the system.

S3:设置与无人机m不同的另一台无人机l,则m与l两台无人机之间的位置关系为: S3: Set another UAV l different from the UAV m, then the positional relationship between the two UAVs m and l is:

其中qm[n]表示无人机m在第n个时隙的位置向量,ql[n]表示无人机l在第n个时隙的位置向量,D为两台无人机之间的最小安全距离。Where q m [n] represents the position vector of UAV m in the nth time slot, q l [n] represents the position vector of UAV l in the nth time slot, and D is the distance between two UAVs minimum safe distance.

由此公式进行限定后,在任意时隙内,任意两个无人机之间都需要保持一个最小安全距离,避免发生碰撞,以保证系统安全运行。After being limited by this formula, in any time slot, a minimum safe distance needs to be maintained between any two UAVs to avoid collisions and ensure the safe operation of the system.

S4:进行地面节点和无人机之间的通信调度以及地面节点发射功率的分配。本实施例中,任意时隙至多只允许一个地面节点与任一无人机进行通信,同时,为了消除同道干扰,任意时隙也至多只有一个无人机与任一地面节点建立连接。数学上可用一个通信调度因子αm,k[n]来表示无人机m与节点k在时隙n的调度关系,公式表示为:S4: Carry out the communication scheduling between the ground node and the UAV and the distribution of the transmission power of the ground node. In this embodiment, at most one ground node is allowed to communicate with any UAV in any time slot, and at the same time, in order to eliminate co-channel interference, at most one UAV can establish a connection with any ground node in any time slot. Mathematically, a communication scheduling factor α m,k [n] can be used to represent the scheduling relationship between UAV m and node k in time slot n, the formula is expressed as:

其中,无人机m在节点k的通信速率其中pk[n]为地面节点k在时隙n的瞬时发射功率;wk为节点k的位置向量,γ0为接收信噪比,H为无人机m距离地面的高度,K为系统中地面节点的数量。Among them, the communication rate of UAV m at node k where p k [n] is the instantaneous transmission power of ground node k in time slot n; w k is the position vector of node k, γ 0 is the receiving signal-to-noise ratio, H is the height of UAV m from the ground, and K is the system The number of ground nodes in .

其中,对地面节点k发射功率而言,其最大瞬时发射功率不超过上限值Pmax,即:0≤pk[n]≤PmaxWherein, for the transmit power of ground node k, its maximum instantaneous transmit power does not exceed the upper limit P max , namely: 0≤p k [n]≤P max ;

同时设置地面节点k发射过程中的产生总能量的最大值为Wt,以公式表示为: At the same time, set the maximum value of the total energy generated by the ground node k during the launch process as W t , expressed as:

S5:进入无人机轨迹优化步骤,对无人机的轨迹进行优化。S5: enter the UAV trajectory optimization step, and optimize the trajectory of the UAV.

优化的方法包含但不限于现有技术中的直接打靶法、配置法和微分包含法。Optimization methods include but are not limited to the direct shooting method, configuration method and differential inclusion method in the prior art.

S6:经过轨迹优化后,由控制系统判断优化后的路线是否为最佳状态,具体方法为:设置精度u,将相邻两次优化路线的差值与精度u进行对比,若差值在精度以内,则判断为是。S6: After trajectory optimization, the control system judges whether the optimized route is in the best state. The specific method is: set the accuracy u, and compare the difference between the two adjacent optimized routes with the accuracy u. Within, it is judged as yes.

在本步骤中,若判断为是,则执行S7:向无人机发送该优化轨迹,无人机根据该优化轨迹开始飞行;若判断为否,则返回通信调度以及地面节点发射功率的分配的步骤。In this step, if the judgment is yes, then execute S7: send the optimized trajectory to the UAV, and the UAV starts to fly according to the optimized trajectory; step.

尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。While preferred embodiments of the present application have been described, additional changes and modifications can be made to these embodiments by those skilled in the art once the basic inventive concept is appreciated. Therefore, the appended claims are intended to be construed to cover the preferred embodiment and all changes and modifications which fall within the scope of the application. Obviously, those skilled in the art can make various changes and modifications to the application without departing from the spirit and scope of the application. In this way, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalent technologies, the present application is also intended to include these modifications and variations.

Claims (8)

1.一种无人机安全飞行方法,包括以下步骤:1. A method for unmanned aerial vehicle safe flight, comprising the following steps: S1,初始化飞行轨迹:设置无人机在飞行区域内的初始飞行轨迹为圆形,以所述飞行区域的几何中心作为原点,以与地面平行的直线作为x轴,与地面垂直的直线为y轴建立坐标系,则无人机m的初始飞行轨迹的圆心为:Om=[xm,ym]T,其中T为无人机m的飞行周期;S1, initialize the flight trajectory: set the initial flight trajectory of the UAV in the flight area as a circle, take the geometric center of the flight area as the origin, take the line parallel to the ground as the x-axis, and the line perpendicular to the ground as y axis to establish a coordinate system, then the center of the initial flight trajectory of UAV m is: O m = [x m , y m ] T , where T is the flight period of UAV m; 由无人机m的飞行速度Vm、和无人机m的飞行周期T,能够得到无人机m的飞行轨迹的半径 From the flight speed V m of UAV m and the flight period T of UAV m, the radius of the flight trajectory of UAV m can be obtained 设置N为无人机飞行一周所用的总时隙,δt表示时间离散化后的时隙长度,以公式表示为: Set N as the total time slot used by the UAV to fly for one week, and δt represents the length of the time slot after time discretization, expressed as: 则能够得到无人机m在第n个时隙的位置为:Then the position of UAV m in the nth time slot can be obtained as: S2,差异化设置:设置差异化因子θm,差异化因子θm与无人机m的吞吐量Cm以及系统总吞吐量C的关系用公式表示为:S2, Differentiation setting: set the differentiation factor θ m , the relationship between the differentiation factor θ m and the throughput C m of the UAV m and the total throughput C of the system is expressed as: Cm≥θmC,其中,θm≥0且其中M为系统中无人机的数量;C m ≥ θ m C, where, θ m ≥ 0 and Where M is the number of drones in the system; S3,安全距离设置:设置与无人机m不同的另一台无人机l,则两台无人机的位置关系为:S3, safety distance setting: setting another UAV l different from the UAV m, then the positional relationship between the two UAVs is: ||qm[n]-ql[n]||2≥D2,m,l,m≠l||q m [n]-q l [n]|| 2 ≥ D 2 , m,l,m≠l 其中qm[n]表示无人机m在第n个时隙的位置,ql[n]表示无人机l在第n个时隙的位置,D为两台无人机之间的最小安全距离;Where q m [n] represents the position of UAV m in the nth time slot, q l [n] represents the position of UAV l in the nth time slot, and D is the minimum safe distance; S4,无人机与地面节点的通讯调度关系设置:设置通信调度因子αm,k[n],则无人机m与地面节点k在时隙n的调度关系为:S4. Setting the communication scheduling relationship between the UAV and the ground node: set the communication scheduling factor α m,k [n], then the scheduling relationship between the UAV m and the ground node k at time slot n is: αm,k[n]∈{0,1},k,n;α m,k [n]∈{0,1}, k,n; 其中K为系统中地面节点的数量;where K is the number of ground nodes in the system; S5,优化无人机轨迹;S5, optimize the UAV trajectory; S6,判断优化后的路线是否为最佳状态;若判断为是,则进入S7;若判断为否,则返回步骤S4;S6, judging whether the optimized route is in the best state; if it is judged to be yes, then enter S7; if it is judged to be no, then return to step S4; S7,输出:无人机按照S6步骤优化后的路线飞行。S7, output: the drone flies according to the route optimized in step S6. 2.根据权利要求1所述的无人机安全飞行方法,其中,不同无人机的飞行轨迹的圆心位置不重合。2. The safe flying method for unmanned aerial vehicles according to claim 1, wherein the center positions of the flight trajectories of different unmanned aerial vehicles do not coincide. 3.根据权利要求1所述的无人机安全飞行方法,其中,设置Vmax为无人机最大飞行速度,Vmin为无人机最小飞行速度,则有Vmax≥Vm≥Vmin3. The safe flying method of UAV according to claim 1, wherein V max is set as the maximum flying speed of the UAV, and V min is set as the minimum flying speed of the UAV, then V max ≥ V m ≥ V min . 4.根据权利要求1所述的无人机安全飞行方法,其中,在步骤S4中,无人机m在节点k的通信速率其中pk[n]为地面节点k在时隙n的瞬时发射功率;wk为节点k的位置,γ0为接收信噪比,H为无人机m距离地面的高度。4. The safe flight method for unmanned aerial vehicle according to claim 1, wherein, in step S4, the communication rate of unmanned aerial vehicle m at node k Where p k [n] is the instantaneous transmit power of ground node k in time slot n; w k is the position of node k, γ 0 is the receiving signal-to-noise ratio, and H is the height of UAV m from the ground. 5.根据权利要求4所述的无人机安全飞行方法,其中,设置地面节点k的最大瞬时发射功率为Pmax,则有0≤pk[n]≤Pmax5. The safe flight method of UAV according to claim 4, wherein, if the maximum instantaneous transmission power of the ground node k is set to P max , then 0≤p k [n]≤P max . 6.根据权利要求4所述的无人机安全飞行方法,其中,设置地面节点k发射过程中产生总能量的最大值为Wt,则有:n=1,2,…,N。6. The safe flight method of unmanned aerial vehicle according to claim 4, wherein, the maximum value of total energy produced in the launching process of setting ground node k is W t , then there are: n=1,2,...,N. 7.根据权利要求1所述的无人机安全飞行方法,其中,在步骤S6中,判断优化后的路线是否为最佳状态的方法为:设置精度u,将相邻两次优化路线的差值与精度u进行对比,若差值在精度以内,则判断为是。7. The method for safe flight of unmanned aerial vehicles according to claim 1, wherein, in step S6, the method for judging whether the optimized route is in the best state is: setting the accuracy u, the difference between two adjacent optimized routes The value is compared with the precision u, if the difference is within the precision, it is judged as yes. 8.根据权利要求1所述的无人机安全飞行方法,其中,在步骤S5中,无人机的轨迹的优化方法包括直接打靶法、配置法和微分包含法。8. The method for safe flight of unmanned aerial vehicle according to claim 1, wherein, in step S5, the optimization method of the trajectory of the unmanned aerial vehicle comprises a direct shooting method, a configuration method and a differential inclusion method.
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