CN110262492B - Real-time collision avoidance and target tracking method for unmanned ship - Google Patents

Real-time collision avoidance and target tracking method for unmanned ship Download PDF

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CN110262492B
CN110262492B CN201910555673.6A CN201910555673A CN110262492B CN 110262492 B CN110262492 B CN 110262492B CN 201910555673 A CN201910555673 A CN 201910555673A CN 110262492 B CN110262492 B CN 110262492B
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unmanned ship
unmanned
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ship
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CN110262492A (en
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胡常青
文龙贻彬
江淮
李清洲
徐宇新
王学锋
赵荣利
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Aerospace Times (Qingdao) marine equipment technology development Co.,Ltd.
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Beijign Institute of Aerospace Control Devices
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Abstract

A real-time collision avoidance and target tracking method for an unmanned ship aims at the characteristics that the motion characteristics of the unmanned ship, the unmanned ship path planning process and the unmanned ship need to comply with international maritime rule convention and can be interfered by wind, wave and current and the like, and the unmanned ship target tracking process and the requirement on speed smoothness, and a maritime rule, steering collision avoidance model, a self-adaptive tracking model, an unmanned ship kinematics model and an unmanned ship energy consumption model are constructed. Then, two working modes of navigation and target tracking are set for the unmanned ship. And setting corresponding middle end point conditions for the two working modes, adding various constraint conditions into the algorithm, and calculating to obtain the optimal path by using a least square and G2O graph optimization algorithm. The method can be applied to the field of path planning of the unmanned ship, and an optimal smooth track considering the navigation time, the collision risk, the international maritime rule convention, the energy consumption, the kinematic limit of the unmanned ship, the speed/acceleration limit and other constraint conditions can be obtained in real time.

Description

Real-time collision avoidance and target tracking method for unmanned ship
Technical Field
The invention relates to the field of unmanned ship path planning, in particular to a real-time collision avoidance and target tracking method for an unmanned ship
Background
With the rapid development of Unmanned systems and artificial intelligence technologies, Unmanned vehicles (USVs) are becoming more and more popular in military and civilian fields following Unmanned planes and Unmanned vehicles, and play an important role in various marine applications such as maritime search and rescue, maritime evidence collection, environmental monitoring, enemy reconnaissance and the like.
The path planning technology is one of core technologies in the field of unmanned surface vehicles, is a key step from manned to unmanned, is an intelligent key development direction of unmanned vehicles, and marks the autonomous navigation capability of the unmanned surface vehicles to a certain extent. Therefore, the research on the path planning technology of the unmanned ship can help the further development of the unmanned ship. The path planning of the unmanned surface vehicle refers to how to find a proper motion path from a given starting point to a terminal point in a working environment with obstacles, so that the unmanned surface vehicle can safely and seamlessly bypass all the obstacles in the motion process. Real-time collision avoidance and target tracking are more difficult points and are contents needing important research. The real-time collision avoidance and target tracking are guided by global path or tracked target information, the real-time position of the unmanned ship is determined through sensor information, and the distribution condition of obstacles in a local range is obtained; a motion scheme meeting certain evaluation criteria and constraints is found, the course and the navigation speed can be adjusted, and various marine obstacles can be avoided in a highly intelligent and self-adaptive manner.
Most of the existing path planning methods, such as a potential field method, a grid method, an A-algorithm, a genetic algorithm and the like, obtain an optimal path by means of planning coordinate points, time sequence information and motion constraint of an unmanned ship are not considered in the planning process, so that the planned path is over-ideal, and the situation that the path cannot be reached exists, namely, a controller cannot follow the path.
The TEB algorithm can plan the track of the unmanned ship in real time, and plan the speed and the acceleration of the unmanned ship when the unmanned ship executes tasks by comprehensively considering the motion model and the motion constraint of the unmanned ship so as to meet the requirements of smoothness, speed controllability and the like.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the invention overcomes the defects of the prior art, provides a real-time collision avoidance and target tracking method for an unmanned ship, aiming at unmanned ship navigation and target tracking scenes, a track containing information such as a path coordinate point sequence, a time sequence, and speed, angular speed, direction and the like reaching any path point can be planned in real time, the path can be ensured to be executed by a controller, the planned path conforms to the international maritime collision avoidance rule convention, and in the target tracking process, the unmanned ship can track at a smooth speed, so that the control difficulty of the controller is reduced.
The technical scheme adopted by the invention is as follows: a real-time collision avoidance and target tracking method for an unmanned ship comprises the following steps:
step S10, initializing a state B with a time sequence according to the starting point and the end point of the unmanned ship navigation track, the time interval and the number of the state sequences, wherein the state B is (Q, tau),
wherein: set of states Q ═ Qi}i=1...nN is N, and the state set τ is { Δ T ═ Nj}j=1...n-1,n∈N,qi=(pii)T=(xi,yii)T,pi=(xi,yi) Is the current position coordinate, beta, of the unmanned ship in the mapiThe current steering angle of the unmanned ship is defined as east direction of 0 degrees, anticlockwise direction of positive, and delta TjIs the time resolution;
step S20, constructing a maritime affair rule model and a steering and collision avoidance model of the unmanned ship according to COLREGS;
the maritime rule model is as follows: according to COLREGS, ship collision avoidance experience data and the navigation range of a target ship in a marine environment, four collision situations of chase OT, encounter HO, right cross CFR and left cross CFL are defined for the unmanned ship;
the steering collision avoidance model of the unmanned ship comprises the following steps:
Figure BDA0002106808840000021
obtaining navigation rule table and relation function of conflict situation according to maritime rule model
Figure BDA0002106808840000022
Wherein P is the navigation range of the target ship in the marine environment, Delta theta is the difference of the course angle between the unmanned ship and the target ship, the north direction is defined as 0 degree, the clockwise direction is positive,
Figure BDA0002106808840000023
φ12respectively a set upper angle limit value and a set lower angle limit value, USVturnThe direction of the corner of the unmanned boat is shown;
when the unmanned ship is in a left crossing CFL situation or a pursuit OT situation and delta theta is in an element of 0, phi1) When the unmanned ship turns left; when the unmanned ship is in a right cross CFR situation, or in an encounter HO situation, or in a catch-up OT situation, and delta theta is epsilon [ phi ]22 pi), the unmanned boat turns right;
step S30, constructing an adaptive tracking model;
the self-adaptive tracking model is an end point tracking speed
Figure BDA0002106808840000031
Figure BDA0002106808840000032
Wherein the content of the first and second substances,
Figure BDA0002106808840000033
the maximum speed of the unmanned ship is L ═ d-dhD is the distance between the unmanned ship and the target ship, dhTo maintain the distance, voIs the current speed of the target vessel and,
Figure BDA0002106808840000034
the maximum acceleration of the unmanned ship is shown, and alpha is a regulating factor;
step S40, constructing a kinematics model of the unmanned ship;
the unmanned ship kinematic model is as follows:
Figure BDA0002106808840000035
wherein (x)i+1,yi+1) For the position of the unmanned boat in the map at the next moment, viIs the current speed, omega, of the unmanned boatiIs the current angular velocity, theta, of the unmanned boatiThe current course angle of the unmanned ship is shown, and t is time;
step S50, constructing an unmanned ship energy consumption model;
the energy consumption model of the unmanned ship is as follows:
unmanned ship energy consumption
Figure BDA0002106808840000036
Wherein the content of the first and second substances,
Figure BDA0002106808840000037
vi groundbottom velocity, vi currentIs the velocity of the wind and wave stream, vi usvThe speed of the unmanned boat; eta is a wave flow force factor of the unmanned ship;
separation distance
Figure BDA0002106808840000038
Step S60, determining the navigation working mode of the unmanned ship;
the unmanned ship navigation working mode comprises a target tracking mode and a navigation mode;
if the unmanned ship is in a target tracking mode, automatically setting the current terminal and the speed of reaching the terminal according to the self-adaptive tracking model; if the unmanned ship is in a sailing mode, manually setting a terminal coordinate, and automatically setting the speed of reaching the terminal to be 0;
step S70, constructing an attraction point constraint, a static barrier constraint, a dynamic barrier constraint, a speed and acceleration constraint, an unmanned ship kinematics constraint, a minimum time constraint and a minimum energy consumption constraint according to the maritime rule model, the steering collision avoidance model, the self-adaptive tracking model, the unmanned ship kinematics model and the unmanned ship energy consumption model, and establishing an objective function:
f(B)=Υ1fa2fs3fd4fv5fω6facc7fk8fr9ft10fe
wherein γ is the weight factor.
The attraction point constraints are: f. ofa=||pb-pa||;
Wherein p isaAs attraction points, pbIs a separation in a sequence of statespaThe nearest coordinate point;
the static obstacle constraints are:
Figure BDA0002106808840000041
wherein d issDistance between unmanned boat and obstacle, dsafeIs a safe distance;
the dynamic barrier constraint is:
non-cooperative dynamic obstacle constraints:
Figure BDA0002106808840000042
wherein the distance between the unmanned surface vehicle and the non-cooperative target
Figure BDA0002106808840000043
Figure BDA0002106808840000044
For the ith coordinate point in the state sequence at time t,
Figure BDA0002106808840000045
the position of the dynamic barrier predicted at the time t;
cooperative dynamic barrier constraint:
Figure BDA0002106808840000046
wherein f ispFor the purpose of the corner deflection constraint,
Figure BDA0002106808840000047
βjsteering angle, beta, for unmanned boat at the moment of starting steering and avoiding collisionj+1The steering angle of the unmanned ship at the next moment is avoided.
The speed and acceleration constraints are respectively:
speed constraint
Figure BDA0002106808840000051
vmin、vmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
constraint of angular velocity
Figure BDA0002106808840000052
ωmin、ωmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
restraint of acceleration
Figure BDA0002106808840000053
aiIs the current acceleration of the unmanned ship, amin、amaxRespectively the minimum acceleration and the maximum acceleration of the unmanned ship;
restraint of angular acceleration
Figure BDA0002106808840000054
biIs the current angular acceleration of the unmanned ship, bmin、bmaxRespectively the minimum angular acceleration and the maximum angular acceleration of the unmanned ship;
wherein the content of the first and second substances,
Figure BDA0002106808840000055
Figure BDA0002106808840000056
is measured by a sensor, and the direction of the sensor is deltai
Figure BDA0002106808840000057
In the direction of betai=arctan(pi+1-pi);
Figure BDA0002106808840000058
The sizes and directions of the components are respectively as follows:
Figure BDA0002106808840000059
Figure BDA00021068088400000510
the angular velocity, acceleration and angular acceleration of the unmanned ship are respectively as follows:
Figure BDA00021068088400000511
the kinematic constraint is:
Figure BDA0002106808840000061
the minimum bend radius constraint is:
Figure BDA0002106808840000062
wherein the current turning radius of the unmanned ship
Figure BDA0002106808840000063
RmThe minimum turning radius of the unmanned boat;
the minimum time constraint is:
Figure BDA0002106808840000064
the minimum energy consumption constraint is:
Figure BDA0002106808840000065
step S80, aiming at the objective function f (B), obtaining the optimal state sequence by adopting a least square method and a G2O diagram optimization algorithm according to the constraint conditions constructed in the step S70
Figure BDA0002106808840000066
I.e. the optimal path.
Compared with the prior art, the invention has the advantages that:
(1) the invention establishes a maritime regulation model and a steering collision avoidance model, and considers the influence of the international maritime regulation convention on dynamic collision avoidance, thereby realizing real-time dynamic collision avoidance on a cooperative target.
(2) The unmanned ship energy consumption model is established, and the influence of energy consumption on a path and the influence of wind wave flow interference on the speed and the angular speed of the unmanned ship are considered, so that the energy consumption of the unmanned ship in the sailing process can be saved, and the working time of the unmanned ship is prolonged.
(3) The invention establishes the self-adaptive tracking model, realizes smooth speed tracking, solves the problem of sudden speed change in the tracking process, reduces the control difficulty of the controller and further ensures the safety.
(4) The method combines the TEB algorithm, and solves the problem that the planned path is too ideal because the time sequence information and the motion constraint of the unmanned ship are not considered in the traditional algorithm. The method provided by the invention considers various constraint conditions of navigation time, collision risk, international maritime rule convention, energy consumption, kinematics limitation of unmanned ships and speed/acceleration limitation, can plan a track with time, speed, angular speed and position information in real time, and obtains a more optimal path compared with the traditional method.
Drawings
FIG. 1 is a schematic flow chart of the present invention;
FIG. 2 is a schematic illustration of the position of a cooperative target vessel of the present invention;
FIG. 3 is a schematic diagram illustrating the influence of the wind and wave flow velocity on the unmanned surface vehicle;
FIG. 4 is a schematic view of the kinematics constraint of an unmanned boat;
FIG. 5 is a hypergraph constructed in the present invention with various constraints added.
FIG. 6 is a schematic view of static collision avoidance according to the present invention.
FIG. 7 is a schematic view of dynamic collision avoidance in the present invention.
Fig. 8 is a speed profile of the sailing mode of the present invention.
Fig. 9 is a velocity profile in the target tracking mode of the present invention.
Detailed Description
The technical solution of the present invention will be further described in detail with reference to the accompanying drawings.
The embodiment of the invention provides a real-time collision avoidance and target tracking method for an unmanned ship, the implementation flow of which is shown in figure 1, and the method comprises the following steps:
preparation work: the starting point of the unmanned ship and the position, speed and attribute information of the obstacle are known.
Step S10, initializing a state B with a time sequence according to the starting point and the end point of the unmanned ship navigation track, the time interval and the number of the state sequences, wherein the state B is (Q, tau),
wherein: set of states Q ═ Qi}i=1...nN is N, and the state set τ is { Δ T ═ Nj}j=1...n-1,n∈N,qi=(pii)T=(xi,yii)T,pi=(xi,yi) Is the current position coordinate, beta, of the unmanned ship in the mapiIs the current steering angle, delta T, of the unmanned shipjIs the time resolution;
and step S20, establishing a maritime affair rule and a steering collision avoidance model.
According to the international maritime collision avoidance rule Convention (COLREGS), the empirical data of ship collision avoidance and the navigation range of an actual ship in a complex marine environment, four collision situations of chase OT, encounter HO, right cross CFR and left cross CFL are defined for the unmanned ship;
and obtaining a navigation rule table (see table 1) and a relation function of the conflict situation:
Figure BDA0002106808840000071
in the formula: p is the range of the target ship, as shown in FIG. 2, Delta theta is the angular difference of the heading angles of the unmanned ship and the target ship, and the heading of the unmanned ship in the figure is defined as 0 degree,
Figure BDA0002106808840000081
according to COLREGS, a collision avoidance steering model of the unmanned ship meeting the target ship is established.
Figure BDA0002106808840000082
φ12Respectively setting an upper angle limit value and a lower angle limit value;
in the present embodiment, it is preferred that,
Figure BDA0002106808840000083
wherein the USVturnThe direction of the corner of the unmanned boat is shown;
when the unmanned ship is in a left crossing CFL situation or in a pursuit OT situation and
Figure BDA0002106808840000084
when the unmanned ship is in use, the unmanned ship can avoid obstacles leftwards; when the unmanned ship is in a right cross CFR situation or an encounter HO situation or a catch-up OT situation and
Figure BDA0002106808840000085
the unmanned boat needs to avoid the barrier rightwards;
TABLE 1 voyage rule table
Figure BDA0002106808840000086
Figure BDA0002106808840000091
The white areas and the unlisted data indicate that in this case the target vessel does not pose a threat to the unmanned vehicle or the target vessel should actively avoid the unmanned vehicle. The "avoidance" condition in the table is because the target vessel is now on the starboard side of the unmanned vehicle, the USV needs to be actively avoided according to COLREGS, and because the target vessel is on the rear side of the unmanned vehicle, the unmanned vehicle can be avoided only by accelerating.
And step S30, establishing an adaptive tracking model.
In order to enable the unmanned ship to track the target ship at a smooth speed and track the target as soon as possible, the terminal tracking speed of the unmanned ship needs to be constrained to be at a distance d from the target shiphIs the terminal point of the planning
Figure BDA0002106808840000092
dhTo maintain the distance. Then the endpoint tracking velocity
Figure BDA0002106808840000093
Comprises the following steps:
Figure BDA0002106808840000094
wherein
Figure BDA0002106808840000095
Is the maximum speed of the unmanned boat,
Figure BDA0002106808840000096
maximum acceleration, v, of unmanned boatoFor the current speed of the target vessel, L ═ d-dhD is the distance between the unmanned boat and the target ship, and alpha is an adjusting factor.
Step S40, establishing an unmanned ship motion model:
Figure BDA0002106808840000097
wherein (x)i+1,yi+1) For the position of the unmanned boat in the map at the next moment, viIs the current speed, omega, of the unmanned boatiIs the current angular velocity, theta, of the unmanned boatiThe current course angle of the unmanned ship is shown, and t is time;
and step S50, establishing an unmanned ship energy consumption model.
Figure BDA0002106808840000098
Wherein: v. ofi groundBottom velocity, vi currentIs the velocity of the wind and wave stream, vi usvThe speed of the unmanned boat, as shown in FIG. 3
Figure BDA0002106808840000099
Wherein FcurrentThe force of the storm flow on the unmanned ship is shown, and eta is a storm flow force factor of the unmanned ship.
An unmanned ship energy consumption model can be obtained:
Figure BDA0002106808840000101
wherein: separation distance
Figure BDA0002106808840000102
In step S60, the operation mode is determined,
the unmanned ship navigation working mode comprises a target tracking mode and a navigation mode;
if the unmanned ship is in a target tracking mode, automatically setting the current terminal and the speed of reaching the terminal according to the self-adaptive tracking model; if the unmanned ship is in a sailing mode, manually setting a terminal coordinate, and automatically setting the speed of reaching the terminal to be 0;
in step S70, a state sequence B is initialized based on the start point, the end point, the current speed and direction, and the end point speed and direction.
And step S80, adding attraction point constraint to ensure that the unmanned ship can return to the global path point after obstacle avoidance.
fa=||pb-pa||
Wherein p isaAs attraction points, pbIs a distance p in the sequence of statesaThe nearest coordinate point;
and step S90, adding static obstacle restraint to enable the unmanned ship to avoid the static obstacle.
Figure BDA0002106808840000103
Wherein d issDistance between unmanned boat and obstacle, dsafeIs a safe distance;
and step S100, adding dynamic barrier constraint.
When the dynamic barrier is detected to be a non-cooperative target, adding dynamic barrier constraint in the whole time sequence, and predicting the position of the dynamic barrier by combining the time sequence to ensure that the dynamic barrier does not collide with the dynamic barrier.
Figure BDA0002106808840000104
Wherein the distance between the unmanned surface vehicle and the non-cooperative target
Figure BDA0002106808840000105
Figure BDA0002106808840000106
For the ith coordinate point in the state sequence at time t,
Figure BDA0002106808840000111
the position of the dynamic barrier predicted at the time t;
when the dynamic obstacle is detected as a cooperative target, namely the target ship which also follows COLREGS, adding a corner deviation constraint fpEnsuring steering in compliance with COLREGS while avoiding collisions safely.
Figure BDA0002106808840000112
Wherein, betajSteering angle, beta, for unmanned boat at the moment of starting steering and avoiding collisionj+1Steering angle for steering unmanned ship to avoid collision at next moment。
The dynamic barrier constraints for the cooperative target are as follows, at which time the unmanned boat will be subject to dynamic collision avoidance while following COLREGS.
Figure BDA0002106808840000113
And step S110, adding speed and acceleration constraints to ensure that the planned path has speed controllability.
Speed constraint
Figure BDA0002106808840000114
Wherein v ismin、vmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
constraint of angular velocity
Figure BDA0002106808840000115
Wherein, ω ismin、ωmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
restraint of acceleration
Figure BDA0002106808840000116
Wherein, aiIs the current acceleration of the unmanned ship, amin、amaxRespectively the minimum acceleration and the maximum acceleration of the unmanned ship;
restraint of angular acceleration
Figure BDA0002106808840000121
Wherein, biIs the current angular acceleration of the unmanned ship, bmin、bmaxRespectively the minimum angular acceleration and the maximum angular acceleration of the unmanned ship;
wherein the content of the first and second substances,
Figure BDA0002106808840000122
Figure BDA0002106808840000123
is measured by a sensor, and the direction of the sensor is deltai
Figure BDA0002106808840000124
In the direction of betai=arctan(pi+1-pi);
Can calculate out
Figure BDA0002106808840000125
The sizes and directions of the components are respectively as follows:
Figure BDA0002106808840000126
Figure BDA0002106808840000127
therefore, the angular velocity of the unmanned ship can be obtained, and the acceleration and the angular acceleration are respectively as follows:
Figure BDA0002106808840000128
step S120, add kinematic constraints to ensure that the planned path is smooth and can be executed by the controller.
Assuming that the rotation angles of two successive state points are the same, as shown in FIG. 4, then
Figure BDA0002106808840000129
The following kinematic constraints can be obtained:
Figure BDA00021068088400001210
in addition, during actual navigation, when the unmanned boat is stableIn order to prevent the unmanned boat from capsizing during the turning at a constant speed, a minimum turning radius R existsm
The current turning radius of the unmanned ship can be calculated as follows:
Figure BDA0002106808840000131
obtaining a minimum turning radius constraint:
Figure BDA0002106808840000132
step S130, add a minimum time constraint.
The shortest path is expected to be planned no matter during the navigation process of the unmanned ship or during the target tracking process, and under the condition of being in accordance with the kinematics of the unmanned ship, the shortest path is equivalent to the path which is navigated in the minimum time, so that the minimum time constraint is added:
Figure BDA0002106808840000133
and step S140, adding minimum energy consumption constraint according to the unmanned ship energy consumption model.
Figure BDA0002106808840000134
Step S150, the path planning problem is converted into the following multi-objective optimization problem:
f(B)=Υ1fa2fs3fd4fv5fω6facc7fk8fr9ft10fe
wherein, γ1~Υ10Are all weighting factors.
Step S160, solving the optimal solution by using the G2O graph optimization method, and building a hypergraph according to the multi-objective optimization function, as shown in fig. 5.
And step S170, solving by adopting a least square method, and continuously updating the state sequence B by adopting an LM (Levenberg-Marquardt) method and a sparse optimizer to carry out iterative computation.
After iteration for a certain number of times, the optimal solution is obtained:
Figure BDA0002106808840000135
the optimal solution is composed of a series of optimal states, comprises path point coordinates, directions and time sequences, and can also calculate information such as speed, angular speed and the like of the unmanned ship at each path point.
And sending the coordinate point or the speed and angular speed information of the unmanned ship to the controller according to the requirements of the controller.
Fig. 6 shows a static collision avoidance routing diagram with black circles as obstacles and gray circles representing the starting points of the drones.
Fig. 7 shows a schematic diagram of dynamic obstacles for a cooperating vessel, the squares representing the dynamic obstacles and the grey circles representing the unmanned boat starting point. It can be seen from the figure that the unmanned ship gets out of the way to the left in the CFL situation at present, and the requirement of COLREGS is met.
Fig. 8 shows a velocity profile of the unmanned vehicle in cruise mode with a start velocity of 0 and an end velocity of 0.
Fig. 9 shows a velocity profile of the unmanned vehicle in target tracking mode with a starting velocity of 0 and an ending velocity of the arrival velocity according to the adaptive tracking model.
The present invention has not been described in detail, partly as is known to the person skilled in the art.

Claims (7)

1. A real-time collision avoidance and target tracking method for an unmanned ship is characterized by comprising the following steps:
step S10, initializing a state B with a time sequence according to the starting point and the end point of the unmanned ship navigation track, the time interval and the number of the state sequences, wherein the state B is (Q, tau),
wherein: set of states Q ═ Qi}i=1...nN is N, and the state set τ is { Δ T ═ Nj}j=1...n-1,n∈N,qi=(pii)T=(xi,yii)T,pi=(xi,yi) Is the current position coordinate, beta, of the unmanned ship in the mapiThe current steering angle of the unmanned ship is defined as east direction of 0 degrees, anticlockwise direction of positive, and delta TjIs the time resolution;
step S20, constructing a maritime affair rule model and a steering and collision avoidance model of the unmanned ship according to COLREGS;
in step S20, the maritime rule model is: according to COLREGS, ship collision avoidance experience data and the navigation range of a target ship in a marine environment, four collision situations of chase OT, encounter HO, right cross CFR and left cross CFL are defined for the unmanned ship;
the steering collision avoidance model of the unmanned ship comprises the following steps:
Figure FDA0003459095350000011
obtaining navigation rule table and relation function of conflict situation according to maritime rule model
Figure FDA0003459095350000013
Wherein P is the navigation range of the target ship in the marine environment, Delta theta is the difference of the course angle between the unmanned ship and the target ship, the north direction is defined as 0 degree, the clockwise direction is positive,
Figure FDA0003459095350000014
φ12respectively a set upper angle limit value and a set lower angle limit value, USVturnThe direction of the corner of the unmanned boat is shown;
when nobodyThe boat is in a left crossing CFL situation or in a pursuit OT situation and delta theta is in an element of 0, phi1) When the unmanned ship turns left; when the unmanned ship is in a right cross CFR situation, or in an encounter HO situation, or in a catch-up OT situation, and delta theta is epsilon [ phi ]22 pi), the unmanned boat turns right;
step S30, constructing an adaptive tracking model;
in step S30, the adaptive tracking model is an end point tracking velocity
Figure FDA0003459095350000012
Figure FDA0003459095350000021
Wherein the content of the first and second substances,
Figure FDA0003459095350000022
the maximum speed of the unmanned ship is L ═ d-dhD is the distance between the unmanned ship and the target ship, dhTo maintain the distance, voIs the current speed of the target vessel and,
Figure FDA0003459095350000023
the maximum acceleration of the unmanned ship is shown, and alpha is a regulating factor;
step S40, constructing a kinematics model of the unmanned ship;
step S50, constructing an unmanned ship energy consumption model;
in step S50, the unmanned surface vehicle energy consumption model is:
unmanned ship energy consumption
Figure FDA0003459095350000024
Wherein the content of the first and second substances,
Figure FDA0003459095350000025
vi groundbottom velocity, vi currentIs the velocity of the wind and wave stream, vi usvThe speed of the unmanned boat; eta is a wave flow force factor of the unmanned ship;
separation distance
Figure FDA0003459095350000026
(xi+1,yi+1) The position of the unmanned boat in the map at the next moment is shown;
step S60, determining the navigation working mode of the unmanned ship; the unmanned ship navigation working mode comprises a target tracking mode and a navigation mode;
step S70, constructing an attraction point constraint f according to the maritime affair rule model, the steering collision avoidance model, the self-adaptive tracking model, the unmanned ship kinematics model and the unmanned ship energy consumption modelaStatic obstacle restraint fsDynamic obstacle constraint, speed and acceleration constraint, unmanned ship kinematics constraint fkMinimum time constraint ftMinimum energy consumption constraint feAnd establishing an objective function:
Figure FDA0003459095350000027
wherein, C1~C12Are all weight factors; f. ofrIs a minimum bend radius constraint;
the dynamic obstacle constraints include non-cooperative dynamic obstacle constraints
Figure FDA0003459095350000028
Cooperative dynamic barrier constraint
Figure FDA0003459095350000031
The velocity and acceleration constraints include a velocity constraint fvConstraint of angular velocity fωAcceleration constraint fvaccAngular acceleration constraint fωacc
Step S80, aiming at the objective function f (B), obtaining the optimal state by adopting a least square method and a G2O diagram optimization algorithm according to the constraint conditions constructed in the step S70Sequence of
Figure FDA0003459095350000032
I.e. the optimal path.
2. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 1, characterized in that: in step S40, the unmanned surface vehicle kinematic model is:
Figure FDA0003459095350000033
wherein (x)i+1,yi+1) For the position of the unmanned boat in the map at the next moment, viIs the current speed, omega, of the unmanned boatiIs the current angular velocity, theta, of the unmanned boatiThe current course angle of the unmanned ship is shown, and t is time.
3. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 1 or 2, characterized in that: in the step S60, if the unmanned ship is in a target tracking mode, automatically setting the current terminal and the speed of reaching the terminal according to the self-adaptive tracking model; if the unmanned ship is in a sailing mode, the terminal coordinate is set manually, and the speed of reaching the terminal is set to be 0 automatically.
4. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 3, characterized in that: in step S70, the attraction point constraint is: f. ofa=||pb-pa||;
Wherein p isaAs attraction points, pbIs a distance p in the sequence of statesaThe nearest coordinate point;
the static obstacle constraints are:
Figure FDA0003459095350000034
wherein d issDistance between unmanned boat and barrier,dsafeIs a safe distance.
5. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 4, characterized in that: in step S70, the dynamic obstacle constraints include non-cooperative dynamic obstacle constraints and cooperative dynamic obstacle constraints:
non-cooperative dynamic obstacle constraints:
Figure FDA0003459095350000041
wherein the distance between the unmanned surface vehicle and the non-cooperative target
Figure FDA0003459095350000042
Figure FDA0003459095350000043
For the ith coordinate point in the state sequence at time t,
Figure FDA0003459095350000044
the position of the dynamic barrier predicted at the time t;
cooperative dynamic barrier constraint:
Figure FDA0003459095350000045
wherein f ispFor the purpose of the corner deflection constraint,
Figure FDA0003459095350000046
βjsteering angle, beta, for unmanned boat at the moment of starting steering and avoiding collisionj+1The steering angle of the unmanned ship at the next moment is avoided.
6. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 5, characterized in that: in step S70, the speed and acceleration constraints include:
speed constraint
Figure FDA0003459095350000047
vmin、vmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
constraint of angular velocity
Figure FDA0003459095350000048
ωmin、ωmaxRespectively the minimum speed and the maximum speed of the unmanned ship;
restraint of acceleration
Figure FDA0003459095350000049
aiIs the current acceleration of the unmanned ship, amin、amaxRespectively the minimum acceleration and the maximum acceleration of the unmanned ship;
restraint of angular acceleration
Figure FDA00034590953500000410
biIs the current angular acceleration of the unmanned ship, bmin、bmaxRespectively the minimum angular acceleration and the maximum angular acceleration of the unmanned ship;
wherein the content of the first and second substances,
Figure FDA0003459095350000051
Figure FDA0003459095350000052
is measured by a sensor, and the direction of the sensor is deltai
Figure FDA0003459095350000053
In the direction of betai=arctan(pi+1-pi);
Figure FDA0003459095350000054
Is largeThe minor and direction are respectively:
Figure FDA0003459095350000055
Figure FDA0003459095350000056
the angular velocity, acceleration and angular acceleration of the unmanned ship are respectively as follows:
angular velocity
Figure FDA0003459095350000057
Acceleration of a vehicle
Figure FDA0003459095350000058
Angular acceleration
Figure FDA0003459095350000059
7. The real-time collision avoidance and target tracking method of the unmanned ship according to claim 6, characterized in that: in step S70, the kinematic constraint is:
Figure FDA00034590953500000510
the minimum bend radius constraint is:
Figure FDA00034590953500000511
wherein the current turning radius of the unmanned ship
Figure FDA00034590953500000512
RmThe minimum turning radius of the unmanned boat;
the minimum time constraint is:
Figure FDA00034590953500000513
the minimum energy consumption constraint is:
Figure FDA00034590953500000514
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