CN102509475A - Air traffic control system and method for four-dimensional (4D)-trajectory-based operation - Google Patents

Air traffic control system and method for four-dimensional (4D)-trajectory-based operation Download PDF

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CN102509475A
CN102509475A CN201110327792XA CN201110327792A CN102509475A CN 102509475 A CN102509475 A CN 102509475A CN 201110327792X A CN201110327792X A CN 201110327792XA CN 201110327792 A CN201110327792 A CN 201110327792A CN 102509475 A CN102509475 A CN 102509475A
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aircraft
track
flight
conflict
air traffic
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CN102509475B (en
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汤新民
韩云祥
韩松臣
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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Abstract

The invention discloses an air traffic control system for four-dimensional (4D)-trajectory-based operation. The air traffic control system comprises a data communication module, a monitoring data fusion module, an airborne terminal module and a control terminal module, wherein the monitoring data fusion module is used for fusing the monitoring data of an air traffic control radar and automatic dependent monitoring data, and providing real-time trajectory information for the control terminal module; and the control terminal module comprises a preflight conflict-free 4D trajectory generation sub-module, an in-flight short-term 4D trajectory generation sub-module, a real-time flight conflict monitoring and alarming sub-module and a flight conflict resolution 4D trajectory optimization sub-module. The invention also discloses an air traffic control method for the system. The control terminal module processes flight plan data, generates 4D trajectories, analyzes potential traffic conflicts of air traffic conditions and provides an optimal resolution scheme. By the system and the method, flight conflicts can be effectively prevented, and the safety of air traffic can be improved.

Description

Air traffic control system and method based on 4D track operation
Technical Field
The invention relates to an air traffic control system and method, in particular to an air traffic control system and method based on 4D track operation.
Background
With the rapid development of the global air transportation industry and the increasingly prominent contradiction between limited airspace resources, the laggard nature of the air traffic management mode which still adopts the flight plan combined with interval allocation is gradually shown in a complex airspace with dense air traffic flow, and the laggard nature is particularly shown in the following steps: (1) the flight plan does not configure accurate empty pipe intervals for the aircraft, so that congestion in traffic flow tactical management is easily caused, and the safety of an airspace is reduced; (2) the air traffic control automatic system taking the flight plan as the center has poor calculation and track prediction precision on the flight profile, so that the conflict resolution capability is poor; (3) air traffic control efforts still focus on maintaining safe separation between individual aircraft and have difficulty moving up to strategic management of traffic flow.
A 4D track is a precise description of the spatial position (longitude, latitude, and altitude) and time of points in an aircraft track in both spatial and temporal form, and track-based operations refer to the use of "control arrival times" at waypoints in the 4D track, i.e., a "time window" that controls the aircraft through a particular waypoint. The 4D track-based Operation (target based Operation) is taken as one of basic Operation mechanisms in a high-density airspace, and the method is an effective means for managing the airspace under the condition of large flow, high density and small space, can obviously reduce the uncertainty of the aircraft track, and improves the safety and the utilization rate of airspace and airport resources.
The air traffic operation mode based on track operation needs to calculate and optimize flight tracks of single aircrafts on a strategic level, and implement collaboration and adjustment on traffic flows formed by multiple aircrafts; on the pre-tactic level, the congestion problem is solved by correcting the flight path of individual aircraft in the traffic flow, and the operation efficiency of all aircraft in the traffic flow is ensured; and a conflict prediction and optimization disengagement scheme on a tactical level is adopted, and the interval management of the aircraft is changed from a fixed manual mode to a variable interval control mode in consideration of factors such as aircraft performance, control rules, environment and the like, so that a new requirement for air traffic control is provided for the operation of a 4D track.
Disclosure of Invention
The technical problem to be solved by the invention is to overcome the defects of the prior art, and provide the air traffic control system and method based on 4D track operation, which can effectively prevent flight conflict and improve the safety of air traffic.
The air traffic control system based on 4D track operation comprises a data communication module, an airborne terminal module, a control terminal module and a monitoring data fusion module, wherein the monitoring data fusion module is used for realizing fusion of monitoring data of an air traffic control radar and automatic related monitoring data and providing real-time track information for the control terminal module;
the control terminal module comprises the following sub-modules:
the non-conflict 4D track generation module before flight establishes an aircraft dynamic model according to the flight plan and the forecast data of the world area forecast system, and then establishes a track conflict pre-debugging theoretical model according to the flight conflict coupling point to generate a non-conflict 4D track of the aircraft;
the in-flight and short-term 4D track generation module is used for conjecturing the 4D track of the aircraft in a certain time window in the future by utilizing the aircraft kinematics model according to the real-time track information provided by the monitoring data fusion module;
the real-time flight conflict monitoring and warning module is used for establishing an observer from the continuous dynamic state of the aircraft to the discrete conflict logic and mapping the continuous dynamic state of the air traffic system into a conflict state expressed by a discrete observation value; when the system possibly violates the air traffic control rule, monitoring the hybrid dynamic behavior of the air traffic hybrid system, and providing timely warning information for a controller;
the flight conflict resolution 4D track optimization module is used for calculating the conflict resolution 4D track of the aircraft by selecting different resolution objective functions and adopting an optimal control theory method under the condition that the system meets the constraint conditions of aircraft performance and control rules; and the data communication module is used for sending the aircraft conflict resolution 4D track to the airborne terminal module for execution.
The invention relates to an air traffic control method based on 4D track operation, which utilizes the air traffic control system to control air traffic, and concretely comprises the following steps:
step A, a non-conflict 4D track generation module before flight establishes an aircraft dynamic model according to a flight plan and forecast data of a world area forecast system, establishes a track conflict pre-debugging theoretical model according to a flight conflict coupling point and generates a non-conflict 4D track of the aircraft;
step B, the monitoring data fusion module fuses the monitoring data of the air traffic control radar and automatic dependent surveillance (ADS-B) data to generate real-time flight path information of the aircraft and provides the information to the control terminal module; a 4D track generation module in the control terminal module in the medium and short term of flight in the terminal module conjectures a 4D track of the aircraft in a certain future time window according to the real-time track information of the aircraft;
step C, the real-time flight conflict monitoring and warning module establishes an observer from the continuous dynamic state of the aircraft to the discrete conflict logic, and the continuous dynamic state of the air traffic system is mapped into a conflict state expressed by a discrete observation value; when the system possibly violates the air traffic control rule, monitoring the hybrid dynamic behavior of the air traffic hybrid system, and providing timely warning information for a controller;
d, calculating the aircraft conflict resolution 4D flight path by selecting different resolution target functions and adopting an optimal control theory method under the condition that the system meets the constraint conditions of aircraft performance and control rules by a flight conflict resolution 4D flight path optimization module; the aircraft conflict resolution 4D track is sent to an airborne terminal module to be executed through a data communication module;
and E, the airborne terminal module receives and executes the 4D track data issued by the control terminal module.
The aircraft collision-free 4D track is generated according to the following method:
step A1, carrying out aircraft state transition modeling, and establishing a Petri net model of a single aircraft transferring in different flight sections according to the flight height profile of the aircraft in the flight plan:
Figure 201110327792X100002DEST_PATH_IMAGE001
for transferring the model to an aircraft phase, wherein
Figure 923734DEST_PATH_IMAGE002
A flight leg is shown that is,
Figure 201110327792X100002DEST_PATH_IMAGE003
representing the transition point of the flight state parameter in the vertical section,
Figure 504888DEST_PATH_IMAGE004
andrespectively represents the forward and backward connection relation of the flight section and the waypoint,
Figure 528470DEST_PATH_IMAGE006
indicating the flight phase in which the aircraft is;
step A2, establishing a hybrid system model of the full flight profile of the aircraft as follows,
Figure 201110327792X100002DEST_PATH_IMAGE007
Figure 195074DEST_PATH_IMAGE008
wherein,
Figure 201110327792X100002DEST_PATH_IMAGE009
in order to be the height of the container,
Figure 149255DEST_PATH_IMAGE010
in order to obtain the ground speed,
Figure 201110327792X100002DEST_PATH_IMAGE011
in order to correct the airspeed,is a Mach number of the component (A),
Figure 201110327792X100002DEST_PATH_IMAGE013
is the height of the air pressure,
Figure 767680DEST_PATH_IMAGE014
is the included angle between the wind direction forecast and the air route,the wind speed forecast value is a value which is reported by the wind speed forecast,
Figure 672313DEST_PATH_IMAGE016
is a temperature prediction value;
step A3, adopting a hybrid system simulation mode to speculate and solve the flight path: the method of subdividing time is adopted, and the characteristic of continuous change of state is utilized to recursively solve the range of the aircraft from a reference point in a certain flight stage at any moment
Figure 201110327792X100002DEST_PATH_IMAGE017
And height
Figure 492502DEST_PATH_IMAGE018
WhereinFor the range of the aircraft from the reference point at the initial moment,is the value of the time window and,
Figure 201110327792X100002DEST_PATH_IMAGE021
is composed ofTime navigationThe range of the aircraft from the reference point,
Figure 201110327792X100002DEST_PATH_IMAGE023
the altitude of the aircraft from the reference point at the initial moment,
Figure 726933DEST_PATH_IMAGE024
is composed of
Figure 22917DEST_PATH_IMAGE022
The altitude of the aircraft from a reference point at that moment; then obtaining a 4D track of the single aircraft;
step A4, implementing conflict-free deployment to the multiple aircraft coupling model: and carrying out quadratic programming on the 4D flight path of the aircraft which does not meet the interval requirement near the intersection according to the time of two aircrafts for reaching the intersection and the air traffic control principle to obtain the conflict-free 4D flight path.
The monitoring data fusion module fuses the monitoring data of the air traffic control radar and the automatic related monitoring data to generate real-time flight path information of the aircraft, and the method specifically comprises the following steps:
step B1, unifying coordinate units and time;
b2, associating points belonging to the same target by adopting a nearest data association algorithm, and extracting a target track; step B3, extracting the flight path data from the automatic correlation monitoring system and the air traffic control radar respectively from different space-time parameters
Transforming and aligning the reference coordinate system to a unified space-time reference coordinate system of the control terminal;
step B4, calculating the correlation coefficient of the two tracks, and if the correlation coefficient is smaller than a certain preset threshold value, determining that the two tracks are not related; otherwise, the two tracks are related and can be fused;
and step B5, fusing related tracks.
Preferably, in the step B5, the relevant tracks are fused, a weighted average algorithm based on a sampling period is adopted, a weighting coefficient of the weighted average algorithm is determined according to the sampling period and the information precision, and then the relevant auto-correlation monitoring tracks and the air traffic control radar tracks are fused into the system tracks by using the weighted average algorithm.
The 4D track of the aircraft in a certain future time window is presumed according to the real-time track information of the aircraft, and the method comprises the following steps:
step B6, modeling the aircraft operating conditions after applying different control instructions, including: (a) the lifting model is set as the climbing gradient of the aircraft
Figure 201110327792X100002DEST_PATH_IMAGE025
The horizontal ground speed during climbing is
Figure 370852DEST_PATH_IMAGE026
Course and
Figure 201110327792X100002DEST_PATH_IMAGE027
angle of coordinate axes of
Figure 907138DEST_PATH_IMAGE014
Then the state change is:
Figure 894686DEST_PATH_IMAGE028
Figure 201110327792X100002DEST_PATH_IMAGE029
(ii) a (b) An increase and decrease speed model, assuming an initial speed of the aircraft of
Figure 807409DEST_PATH_IMAGE026
Acceleration of
Figure 196802DEST_PATH_IMAGE030
Then the aircraft state change is:
Figure 201110327792X100002DEST_PATH_IMAGE031
(ii) a (c) Yaw model, hypothetical aviationThe deviation angle of the device from the original route is
Figure 169569DEST_PATH_IMAGE032
But the speed remains unchanged, the aircraft state changes to:(ii) a d) Waiting for the model, assuming a selected equivalent turn rate ofThe turning radius isThen the aircraft state change is:
step B7, according to the sampling time
Figure 201110327792X100002DEST_PATH_IMAGE037
Andtemporal aircraft position information
Figure 201110327792X100002DEST_PATH_IMAGE039
And
Figure 622097DEST_PATH_IMAGE040
calculating
Figure 584237DEST_PATH_IMAGE038
The time corresponding to the speed vector of the aircraft
Figure 201110327792X100002DEST_PATH_IMAGE041
And course
Figure 838763DEST_PATH_IMAGE042
(ii) a At the same time according to the controllerThe control instruction issued before determines the running state of the aircraft, including uniform linear speed, linear acceleration and deceleration, ascending and descending along a road, changing course yaw flight, and hovering in a waiting airspace to wait for the state;
step B8, according to the current aircraft state
Figure 750218DEST_PATH_IMAGE040
And a vector
Figure 438688DEST_PATH_IMAGE041
And course
Figure 638857DEST_PATH_IMAGE042
Calculating throughAircraft state after time
Figure 201110327792X100002DEST_PATH_IMAGE043
And then get through
Figure 638267DEST_PATH_IMAGE020
After time the aircraft 4D track.
Preferably, the
Figure 497639DEST_PATH_IMAGE020
Was 3 minutes.
The step C specifically comprises the following steps:
step C1, constructing a conflict hypersurface function set based on the control rule: establishing a set of hypersurface functions to reflect a conflict condition of the system, wherein continuous functions related to a single aircraft in the conflict hypersurface
Figure 919524DEST_PATH_IMAGE044
Continuous function associated with two aircraft for type I hypersurface
Figure 201110327792X100002DEST_PATH_IMAGE045
Is a type II hypersurface;
step C2, establishing an observer from the continuous state of the aircraft to the discrete conflict state;
step C3, designing a discrete monitor of conflict-to-conflict resolution means, which can be described as a function
Figure 968383DEST_PATH_IMAGE046
WhereinIs the space generated by the observation vector of the observer,is all decision vectors
Figure 201110327792X100002DEST_PATH_IMAGE049
A generated space; when the discrete observation vector of the observer shows that an unexpected state appears, corresponding alarm is immediately sent out, and a related strategy is adopted to implement a control instruction on a controlled object.
The step D specifically comprises the following steps:
step D1, modeling the flight conflict resolution process: considering the conflict resolution track as a continuous three-section smooth curve, setting a starting point and an end point of the resolution track, and establishing a multivariable optimal conflict resolution model containing acceleration, climbing or descending rate and turning rate according to track limiting conditions;
step D2, carrying out constraint modeling on conflict resolution variables under different flight conditions: where constraints can be described as:
Figure 573119DEST_PATH_IMAGE050
Figure 201110327792X100002DEST_PATH_IMAGE051
Figure 606934DEST_PATH_IMAGE052
Figure 201110327792X100002DEST_PATH_IMAGE053
maximum acceleration, turn rate and climb or descent rate, respectively;
d3, solving the optimal path of the single target: solving the optimal release flight path under a single release objective function;
d4, solving the multi-target optimal solution flight path: and selecting different conflict resolution target functions aiming at different airspace operation backgrounds, and solving the multi-target optimal resolution track curve under the different resolution target functions according to a single-target track conflict resolution strategy.
The invention strictly controls the time when the aircraft flying in the air domain passes through certain waypoints on the basis of meeting the air traffic control interval. And the control terminal calculates the flight path of the aircraft according to the flight data processing and world area forecasting system. The in-flight control terminal conjectures the short-term 4D flight path according to the information such as the position, the speed, the course and the like of the aircraft given by the control radar or an automatic dependent surveillance system (ADS-B), and carries out warning on possible conflicts according to the relevant regulation of the control. Then, the control terminal calculates the aircraft conflict resolution 4D track according to the aircraft performance data and the control regulation. All the 4D track information given above is transmitted to the on-board computer through the data communication module, and is executed by the Flight Management System (FMS) or the pilot.
Compared with the prior art, the invention has the following beneficial effects:
1. the system configures accurate air traffic control intervals for the aircraft, strictly controls the time window of the aircraft passing through the waypoint, reduces the traffic flow disorder and improves the airspace safety.
2. The control system has high calculation and track prediction precision on the flight profile, so that the conflict resolution capability and the automation level are improved, and the workload of a controller is reduced.
3. The air traffic control work is no longer limited to maintaining the safe interval between single aircrafts, but macroscopically implements effective control on the traffic flow in the airspace, and the control work can be more shifted to the aspects of aircraft takeoff time, approach sequencing, severe weather diversion and the like.
4. The optimal flight path release of the aircraft based on different performance indexes can obviously improve the economy of the aircraft operation and the utilization rate of an airspace.
Drawings
FIG. 1 is a schematic diagram of the components of a 4D track based air traffic control system of the present invention;
FIG. 2 is a schematic diagram of the components of an on-board terminal module;
FIG. 3 is a schematic diagram of a data communication module;
fig. 4 is a schematic diagram of a monitoring data fusion module.
FIG. 5 is a schematic flow chart of a method for generating a conflict-free 4D flight path before flight;
FIG. 6 is a schematic flow chart of a method for estimating a 4D flight path in a short and medium flight;
FIG. 7 is a schematic flow chart of a method for aircraft track conflict monitoring and warning;
FIG. 8 is a schematic flow chart of a method for aircraft release 4D trajectory optimization.
Detailed Description
The technical scheme of the invention is explained in detail in the following with the accompanying drawings:
the air traffic control system based on 4D track operation, as shown in fig. 1, includes an onboard terminal module 101, a data communication module 102, a monitoring data fusion module 103, and a control terminal module 104. The following describes each of the respective embodiments in detail.
1. Airborne terminal module
The on-board terminal module 101 is the interface where the pilot obtains ground control commands, references to 4D flight paths, and inputs flight intent, while also collecting current aircraft position data.
As shown in fig. 2, the specific embodiment is as follows:
the on-board terminal module 101 receives the following information inputs: (1) the ADS-B information acquisition unit 201 encodes aircraft position vectors, speed vectors and call signs of the aircraft acquired by an airborne GPS and transmits the encoded aircraft position vectors, speed vectors and call signs to the airborne data communication module 102 through information and data; (2) the aircraft pilot needs to transmit the flight intent inconsistent with the ground control command to the airborne data communication module 102 through the human-machine input interface and the agreed form that the ground controller can recognize through information and data. In addition, the onboard terminal module 101 realizes the following information output: (1) receiving and displaying a flight control instruction which can be identified by a pilot through a terminal display screen; (2) receiving and displaying the conflict-free 4D flight path generated before the ground control terminal flies, and calculating the optimal release 4D flight path after the ground control terminal detects the conflict.
2. Data communication module
The data communication module 102 can implement air-ground bidirectional data communication, and implement downlink transmission of the airborne real-time position data and flight intention data unit 202 and uplink transmission of the ground control instruction unit 203 and the reference 4D track unit 204.
As shown in fig. 3, the specific embodiment thereof is as follows:
downlink data communication: the airborne terminal 101 transmits the aircraft identification mark, the 4D position information and other additional data such as flight intention, flight speed, weather and other information to a ground secondary radar (SSR) through an airborne secondary radar transponder, the secondary radar analyzes the data message after receiving the data message, transmits the data message to the central data processing component 301 for decoding, and transmits the data message to the control terminal 104 through an instruction track data interface; uplink data communication: after the ground control terminal 104 is coded by the central data processing component 301 through the command track data interface, the ground secondary radar interrogator transmits and displays the ground control command or the reference 4D track information to the onboard terminal 101.
3. Monitoring data fusion module
The monitoring data fusion module 103 realizes the fusion of air traffic control radar monitoring and automatic related monitoring ADS-B data, and provides real-time flight path information for the flight medium-short term 4D flight path generation sub-module and the real-time flight conflict monitoring and warning sub-module in the control terminal module 104.
As shown in fig. 4, the specific embodiment thereof is as follows:
(1) in the preprocessing stage, coordinate units and time are unified, and data extracted from ADS-B and the air traffic control radar are assumed to be coordinates (such as longitude, latitude and altitude) of a series of discrete points and corresponding acquisition time of each point; (2) adopting a nearest data association algorithm to associate points belonging to the same target, and extracting a target track; (3) converting and aligning track data respectively extracted from ADS-B and air traffic control radar from different space-time reference coordinate systems to a space-time reference coordinate system unified by a control terminal; (4) calculating correlation coefficients of the two tracks, if the correlation coefficients are smaller than a certain preset threshold value, considering that the two tracks are not related, otherwise, the two tracks are related and can be fused; (5) and fusing related tracks. Because the precision and the sampling period of the ADS-B and the air traffic control radar are different, the system adopts a weighted average algorithm based on the sampling period, the weighting coefficient of the weighted average algorithm is determined according to the sampling period and the information precision, and the ADS-B flight path and the air traffic control radar flight path related to the weighted average algorithm are fused into a system flight path.
4. Control terminal module
The control terminal module 104 comprises four sub-modules of conflict-free 4D track generation before flight, short-term and medium-term 4D track generation in flight, real-time flight conflict monitoring and warning, and flight conflict resolution 4D track optimization.
(1) Pre-flight collision-free 4D track generation
According to a flight plan obtained by a flight data processing system (FDP) and GRIB grid point forecast data of wind and temperature issued by a World Area Forecast System (WAFS), a hierarchical hybrid system model is established for an air traffic system, and a time track of state evolution is described through the evolution of the system in a safe state to generate an aircraft track.
As shown in fig. 5, the specific implementation process is as follows:
first, aircraft state transition modeling is performed. The process of flying the aircraft along the track is represented as a dynamic switching process between the flight segments, and a Petri net model of the single aircraft transferred in different flight segments is established according to the flight height profile of the aircraft in the flight plan:for transferring the model to an aircraft phase, wherein
Figure 872141DEST_PATH_IMAGE002
A flight leg is shown that is,
Figure 886365DEST_PATH_IMAGE003
represents the transition point of flight state parameters (including airspeed, altitude and configuration) in a vertical section,
Figure 532110DEST_PATH_IMAGE004
and
Figure 594875DEST_PATH_IMAGE005
respectively represents the forward and backward connection relation of the flight section and the waypoint,
Figure 642465DEST_PATH_IMAGE006
indicating the flight phase in which the aircraft is.
And secondly, establishing a full flight profile hybrid system model of the aircraft. The flight of the aircraft in a single flight section is regarded as a continuous process, and the aircraft dynamic equation under the same meteorological conditions of the aircraft in different operation stages is deduced according to a particle energy model,
Figure 765273DEST_PATH_IMAGE007
Figure 898314DEST_PATH_IMAGE008
wherein
Figure 827087DEST_PATH_IMAGE011
In order to correct the airspeed,
Figure 479917DEST_PATH_IMAGE012
is a Mach number of the component (A),
Figure 22893DEST_PATH_IMAGE013
is the height of the air pressure,is the included angle between the wind direction forecast and the air route,
Figure 860847DEST_PATH_IMAGE015
the wind speed forecast value is a value which is reported by the wind speed forecast,
Figure 617451DEST_PATH_IMAGE016
is a temperature prediction value.
And then, speculating and solving the flight path by adopting a hybrid system simulation mode. The method of subdividing time is adopted, and the characteristic of continuous change of state is utilized to recursively solve the range of the aircraft from a reference point in a certain flight stage at any moment
Figure 93780DEST_PATH_IMAGE017
And height
Figure 201413DEST_PATH_IMAGE018
Wherein
Figure 409672DEST_PATH_IMAGE019
For the range of the aircraft from the reference point at the initial moment,
Figure 20782DEST_PATH_IMAGE020
is the value of the time window and,
Figure 921873DEST_PATH_IMAGE021
is composed of
Figure 251223DEST_PATH_IMAGE022
The range of the aircraft from the reference point at the moment,
Figure 59910DEST_PATH_IMAGE023
the altitude of the aircraft from the reference point at the initial moment,
Figure 541838DEST_PATH_IMAGE024
is composed of
Figure 863098DEST_PATH_IMAGE022
The height of the aircraft from the reference point at the moment can be used for deducing the 4D track of the single aircraft.
And finally, implementing conflict-free deployment on the multi-aircraft coupling model. And carrying out quadratic programming on the 4D flight path of the aircraft which does not meet the interval requirement near the intersection according to the time of two aircrafts for reaching the intersection and the air traffic control principle to obtain the conflict-free 4D flight path.
(2) In-flight short-and-medium-term 4D track generation
And (3) acquiring real-time track data of the aircraft after fusion is carried out according to the controlled radar and an automatic dependent surveillance system ADS-B, and presuming the 4D track of the aircraft within a future 3-minute time window by utilizing an aircraft kinematics model.
As shown in fig. 6, the specific implementation process is as follows:
firstly, to applyAnd modeling the aircraft running condition after adding different control instructions. The method comprises the following steps: (a) the lifting model is set as the climbing gradient of the aircraft
Figure 164898DEST_PATH_IMAGE025
(if
Figure 229806DEST_PATH_IMAGE054
Indicating a descent), the horizontal ground speed at the time of ascent is
Figure 566240DEST_PATH_IMAGE026
Course and
Figure 605872DEST_PATH_IMAGE027
angle of coordinate axes of
Figure 909814DEST_PATH_IMAGE014
Then the state change is:
Figure 263566DEST_PATH_IMAGE028
(ii) a (b) An increase and decrease speed model, assuming an initial speed of the aircraft of
Figure 117570DEST_PATH_IMAGE026
Acceleration of
Figure 643229DEST_PATH_IMAGE030
(if
Figure 201110327792X100002DEST_PATH_IMAGE055
Representing deceleration), the aircraft state change is:(ii) a (c) Yaw model, assuming that the aircraft deviates from the original course by an angle ofBut the speed remains unchangedThen the aircraft state change is:
Figure 555449DEST_PATH_IMAGE033
(ii) a (d) Waiting model, in order to simplify the calculation, the waiting program is equivalent to a circular track, and the selected equivalent turning rate is assumed to beThe turning radius is
Figure 529539DEST_PATH_IMAGE035
Then the aircraft state change is:
Figure 944339DEST_PATH_IMAGE036
then, according to the sampling time
Figure 496675DEST_PATH_IMAGE037
And
Figure 747659DEST_PATH_IMAGE038
temporal aircraft position information
Figure 496172DEST_PATH_IMAGE039
And
Figure 504493DEST_PATH_IMAGE040
calculating
Figure 680259DEST_PATH_IMAGE038
The time corresponding to the speed vector of the aircraft
Figure 480856DEST_PATH_IMAGE041
And course. And simultaneously, determining the running state of the aircraft according to a control instruction issued by a controller before, wherein the running state comprises a uniform-speed straight line, linear acceleration and deceleration, ascending and descending along a road, changing course yaw flight and hovering in a waiting airspace to wait for the state.
Finally, according to the current aircraft stateAnd a vector
Figure 5006DEST_PATH_IMAGE041
And courseCalculating through
Figure 55319DEST_PATH_IMAGE020
Aircraft state after time
Figure 299219DEST_PATH_IMAGE043
And then get throughAfter time the aircraft 4D track.
(3) Real-time flight conflict monitoring and warning
When the system possibly has a state violating the safety state set, the state monitoring is implemented through the controller, effective control measures are implemented on the aircraft, and the occurrence of flight conflicts is avoided.
As shown in fig. 7, the specific implementation process is as follows:
first, a set of conflicting hypersurface functions based on the governing rules is constructed. The violation of the air traffic control constraint can be regarded as an event generated when a system is formed by controlled objects (a plurality of aircrafts flying in a controlled airspace) to pass through a hypersurface, and a hypersurface function set is established to reflect the conflict condition of the system. Wherein the continuous function associated with a single aircraft in the conflicting hypersurface
Figure 529660DEST_PATH_IMAGE044
Continuous function for type I hypersurface and for two aircraft
Figure 971137DEST_PATH_IMAGE045
Is a type II hypersurface.
Then, an observer of the aircraft from a continuous state to a discrete collision state is established. An observer is required to be established according to the control specification, and a conflict event generated when the system of the system passes through the hypersurface is observed, so that the controller can make a corresponding control decision instruction. Observer
Figure 820275DEST_PATH_IMAGE056
For observing the successive changes in the position of an aircraft in a system producing conflicting events, called
Figure 201110327792X100002DEST_PATH_IMAGE057
Is a type I observer and is used as a visual observer,
Figure 321795DEST_PATH_IMAGE058
is a type II observer.
Finally, a discrete monitor of the conflict-to-conflict resolution approach is designed. When the discrete observation vector of the observer shows that an unexpected state appears, corresponding alarm is immediately sent out, and a related strategy is adopted to implement a control instruction on a controlled object. The discrete monitor can be described as a function
Figure 318701DEST_PATH_IMAGE046
Wherein
Figure 750819DEST_PATH_IMAGE047
Is the space generated by the observation vector of the observer,
Figure 720043DEST_PATH_IMAGE048
is all decision vectorsThe space generated.
(4) Flight conflict resolution 4D track optimization
Under the condition that the system meets the control specification, the control input given by the controller can be optimized by selecting different release target functions and adopting an optimal control theory method.
As shown in fig. 8, the specific implementation process is as follows:
firstly, modeling a flight conflict resolution process: considering the conflict resolution track as a continuous three-section smooth curve, setting the starting point and the end point of the resolution track, and establishing the acceleration
Figure 201110327792X100002DEST_PATH_IMAGE059
Climbing or descending rate
Figure 876666DEST_PATH_IMAGE060
Turning rate
Figure 201110327792X100002DEST_PATH_IMAGE061
The multivariate optimal conflict resolution model of (1).
Then, the constraint of the conflict resolution variables under different flight conditions is modeled. Since the conflict resolution variables are constrained by aircraft performance and airspace, the constraints can be described as:
Figure 722262DEST_PATH_IMAGE050
Figure 545993DEST_PATH_IMAGE051
Figure 576266DEST_PATH_IMAGE052
maximum acceleration, turn rate and climb or descent rate, respectively.
Secondly, solving the optimal path of the single target. The problems are singular optimal control problems, singular solutions are composed of normal arcs and singular arcs, and optimal solution tracks under a single solution objective function are solved according to the singular optimal control problems.
And finally, solving the multi-target optimal solution flight path. Selecting different conflict resolution target functions aiming at different airspace operation backgrounds, and solving a multi-target optimal resolution track curve under the different resolution target functions according to a single-target track conflict resolution strategy
Figure 201110327792X100002DEST_PATH_IMAGE063
Wherein
Figure 201110327792X100002DEST_PATH_IMAGE065
the key position points on the disengaging flight path curve.

Claims (9)

1. An air traffic control system based on 4D track operation comprises a data communication module, an airborne terminal module and a control terminal module, and is characterized in that,
the air traffic control system also comprises a monitoring data fusion module which is used for realizing the fusion of the monitoring data of the air traffic control radar and the automatic related monitoring data and providing real-time track information for the control terminal module;
the control terminal module comprises the following sub-modules:
the non-conflict 4D track generation module before flight establishes an aircraft dynamic model according to the flight plan and the forecast data of the world area forecast system, and then establishes a track conflict pre-debugging theoretical model according to the flight conflict coupling point to generate a non-conflict 4D track of the aircraft;
the in-flight and short-term 4D track generation module is used for conjecturing the 4D track of the aircraft in a certain time window in the future by utilizing the aircraft kinematics model according to the real-time track information provided by the monitoring data fusion module;
the real-time flight conflict monitoring and warning module is used for establishing an observer from the continuous dynamic state of the aircraft to the discrete conflict logic and mapping the continuous dynamic state of the air traffic system into a conflict state expressed by a discrete observation value; when the system possibly violates the air traffic control rule, monitoring the hybrid dynamic behavior of the air traffic hybrid system, and providing timely warning information for a controller;
the flight conflict resolution 4D track optimization module is used for calculating the conflict resolution 4D track of the aircraft by selecting different resolution objective functions and adopting an optimal control theory method under the condition that the system meets the constraint conditions of aircraft performance and control rules; and the data communication module is used for sending the aircraft conflict resolution 4D track to the airborne terminal module for execution.
2. An air traffic control method based on 4D track operation, characterized in that, the air traffic control system of claim 1 is used for air traffic control, comprising the following steps:
step A, a non-conflict 4D track generation module before flight establishes an aircraft dynamic model according to a flight plan and forecast data of a world area forecast system, establishes a track conflict pre-debugging theoretical model according to a flight conflict coupling point and generates a non-conflict 4D track of the aircraft;
step B, the monitoring data fusion module fuses the monitoring data of the air traffic control radar and the automatic related monitoring data to generate real-time flight path information of the aircraft and provide the information to the control terminal module; a 4D track generation module in the control terminal module in the medium and short term of flight in the terminal module conjectures a 4D track of the aircraft in a certain future time window according to the real-time track information of the aircraft;
step C, the real-time flight conflict monitoring and warning module establishes an observer from the continuous dynamic state of the aircraft to the discrete conflict logic, and the continuous dynamic state of the air traffic system is mapped into a conflict state expressed by a discrete observation value; when the system possibly violates the air traffic control rule, monitoring the hybrid dynamic behavior of the air traffic hybrid system, and providing timely warning information for a controller;
d, calculating the aircraft conflict resolution 4D flight path by selecting different resolution target functions and adopting an optimal control theory method under the condition that the system meets the constraint conditions of aircraft performance and control rules by a flight conflict resolution 4D flight path optimization module; the aircraft conflict resolution 4D track is sent to an airborne terminal module to be executed through a data communication module;
and E, the airborne terminal module receives and executes the 4D track data issued by the control terminal module.
3. The method for air traffic control based on 4D track operation according to claim 2, wherein the aircraft collision-free 4D track is generated according to the following method:
step A1, carrying out aircraft state transition modeling, and establishing a Petri net model of a single aircraft transferring in different flight sections according to the flight height profile of the aircraft in the flight plan:
Figure 201110327792X100001DEST_PATH_IMAGE002
for transferring the model to an aircraft phase, wherein
Figure 201110327792X100001DEST_PATH_IMAGE004
A flight leg is shown that is,representing the transition point of the flight state parameter in the vertical section,
Figure 201110327792X100001DEST_PATH_IMAGE008
and
Figure 201110327792X100001DEST_PATH_IMAGE010
respectively represents the forward and backward connection relation of the flight section and the waypoint,indicating the flight phase in which the aircraft is;
step A2, establishing a hybrid system model of the full flight profile of the aircraft as follows,
wherein,in order to be the height of the container,
Figure 201110327792X100001DEST_PATH_IMAGE020
in order to obtain the ground speed,
Figure 201110327792X100001DEST_PATH_IMAGE022
in order to correct the airspeed,is a Mach number of the component (A),
Figure 201110327792X100001DEST_PATH_IMAGE026
is the height of the air pressure,
Figure 201110327792X100001DEST_PATH_IMAGE028
is the included angle between the wind direction forecast and the air route,the wind speed forecast value is a value which is reported by the wind speed forecast,
Figure 201110327792X100001DEST_PATH_IMAGE032
is a temperature prediction value;
step A3, adopting a hybrid system simulation mode to speculate and solve the flight path: the method of subdividing time is adopted, and the characteristic of continuous change of state is utilized to recursively solve the range of the aircraft from a reference point in a certain flight stage at any moment
Figure 201110327792X100001DEST_PATH_IMAGE034
And height
Figure DEST_PATH_IMAGE036
WhereinFor the range of the aircraft from the reference point at the initial moment,
Figure DEST_PATH_IMAGE040
is the value of the time window and,is composed ofThe range of the aircraft from the reference point at the moment,the altitude of the aircraft from the reference point at the initial moment,
Figure DEST_PATH_IMAGE048
is composed of
Figure 632151DEST_PATH_IMAGE044
The altitude of the aircraft from a reference point at that moment; then obtaining a 4D track of the single aircraft;
step A4, implementing conflict-free deployment to the multiple aircraft coupling model: and carrying out quadratic programming on the 4D flight path of the aircraft which does not meet the interval requirement near the intersection according to the time of two aircrafts for reaching the intersection and the air traffic control principle to obtain the conflict-free 4D flight path.
4. The air traffic control method based on 4D track operation according to claim 2, wherein the monitoring data fusion module fuses the monitoring data of the air traffic control radar and the automatic relevant monitoring data to generate the real-time track information of the aircraft, specifically according to the following method:
step B1, unifying coordinate units and time;
b2, associating points belonging to the same target by adopting a nearest data association algorithm, and extracting a target track; step B3, extracting the flight path data from the automatic correlation monitoring system and the air traffic control radar respectively from different space-time parameters
Transforming and aligning the reference coordinate system to a unified space-time reference coordinate system of the control terminal;
step B4, calculating the correlation coefficient of the two tracks, and if the correlation coefficient is smaller than a certain preset threshold value, determining that the two tracks are not related; otherwise, the two tracks are related and can be fused;
and step B5, fusing related tracks.
5. The air traffic control method according to claim 4, wherein the step B5 is implemented by fusing the related tracks, using a weighted average algorithm based on a sampling period, determining the weighting coefficients according to the sampling period and the information precision, and fusing the related auto-correlation monitoring tracks and the air traffic control radar tracks into the system tracks by using the weighted average algorithm.
6. The air traffic control method based on 4D track operation according to claim 2, wherein the 4D track of the aircraft within a certain time window in the future is estimated according to the real-time track information of the aircraft, specifically according to the following method:
step B6, modeling the aircraft operating conditions after applying different control instructions, including: (a) the lifting model is set as the climbing gradient of the aircraft
Figure DEST_PATH_IMAGE050
The horizontal ground speed during climbing is
Figure DEST_PATH_IMAGE052
Course and
Figure DEST_PATH_IMAGE054
angle of coordinate axes of
Figure 462966DEST_PATH_IMAGE028
Then the state change is:
Figure DEST_PATH_IMAGE058
(ii) a (b) An increase and decrease speed model, assuming an initial speed of the aircraft of
Figure 599549DEST_PATH_IMAGE052
Acceleration of
Figure DEST_PATH_IMAGE060
Then the aircraft state change is:
Figure DEST_PATH_IMAGE062
(ii) a (c) Yaw model, assuming that the aircraft deviates from the original course by an angle of
Figure DEST_PATH_IMAGE064
But the speed remains unchanged, the aircraft state changes to:
Figure DEST_PATH_IMAGE066
(ii) a d) Waiting for the model, assuming a selected equivalent turn rate of
Figure DEST_PATH_IMAGE068
The turning radius is
Figure DEST_PATH_IMAGE070
Then the aircraft state change is:
Figure DEST_PATH_IMAGE072
step B7, according to the sampling time
Figure DEST_PATH_IMAGE074
And
Figure DEST_PATH_IMAGE076
temporal aircraft position informationAnd
Figure DEST_PATH_IMAGE080
calculating
Figure 17497DEST_PATH_IMAGE076
The time corresponding to the speed vector of the aircraftAnd course
Figure DEST_PATH_IMAGE084
(ii) a Meanwhile, the running state of the aircraft is determined according to the control instruction issued by the controller before, and the running state comprises uniform-speed straight line and straight line plus-minusThe speed, the ascending and descending along the road, the changing course and the yawing flight, and the hovering and waiting state in a waiting airspace;
step B8, according to the current aircraft state
Figure 27172DEST_PATH_IMAGE080
And a vector
Figure 594551DEST_PATH_IMAGE082
And courseCalculating throughAircraft state after time
Figure DEST_PATH_IMAGE086
And then get through
Figure 35525DEST_PATH_IMAGE040
After time the aircraft 4D track.
7. The method for air traffic control based on 4D track operation of claim 6, wherein the method is characterized in that
Figure 73888DEST_PATH_IMAGE040
Was 3 minutes.
8. The air traffic control method based on 4D track operation according to claim 2, wherein the step C specifically includes:
step C1, constructing a conflict hypersurface function set based on the control rule: establishing a set of hypersurface functions to reflect a conflict condition of the system, wherein continuous functions related to a single aircraft in the conflict hypersurface
Figure DEST_PATH_IMAGE088
Continuous function associated with two aircraft for type I hypersurface
Figure DEST_PATH_IMAGE090
Is a type II hypersurface;
step C2, establishing an observer from the continuous state of the aircraft to the discrete conflict state;
step C3, designing a discrete monitor of conflict-to-conflict resolution means, which can be described as a function
Figure DEST_PATH_IMAGE092
Wherein
Figure DEST_PATH_IMAGE094
Is the space generated by the observation vector of the observer,
Figure DEST_PATH_IMAGE096
is all decision vectorsA generated space; when the discrete observation vector of the observer shows that an unexpected state appears, corresponding alarm is immediately sent out, and a related strategy is adopted to implement a control instruction on a controlled object.
9. The air traffic control method based on 4D track operation according to claim 2, wherein the step D specifically includes:
step D1, modeling the flight conflict resolution process: considering the conflict resolution track as a continuous three-section smooth curve, setting a starting point and an end point of the resolution track, and establishing a multivariable optimal conflict resolution model containing acceleration, climbing or descending rate and turning rate according to track limiting conditions;
step D2, carrying out constraint modeling on conflict resolution variables under different flight conditions: where constraints can be described as:
Figure DEST_PATH_IMAGE100
Figure DEST_PATH_IMAGE104
Figure DEST_PATH_IMAGE106
maximum acceleration, turn rate and climb or descent rate, respectively;
d3, solving the optimal path of the single target: solving the optimal release flight path under a single release objective function;
d4, solving the multi-target optimal solution flight path: and selecting different conflict resolution target functions aiming at different airspace operation backgrounds, and solving the multi-target optimal resolution track curve under the different resolution target functions according to a single-target track conflict resolution strategy.
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