atc taskload inherent to the geometry of stochastic 4-d
TRANSCRIPT
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http://uav.ae.gatech.edu
ATC Taskload Inherent to the Geometry of Stochastic 4-D
Trajectory Flows with Flight Technical Errors
Vlad Popescu, John-Paul B. Clarke, Karen M. Feigh, Eric Feron
Air Transportation Lab / Cognitive Engineering Center
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Context• Improved flow management concepts:
• NextGen: “End-to-end strategic flow management”, “Self-separating flow corridors”
• SESAR:”Time-based spacing and separation”• ICAO: “Optimized 4D trajectories”
• Some level of autonomy• Varying precision requirements• All these concepts need controller oversight to
avoid severe degradation
Slide 2Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Multilane flows• Various stages of flight : enroute, approach,…
• Different autonomy and precision levels
Slide 3
Photo: FAA
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Research Orientation• Workload to meter a 4D flow structure:
• Taskload : physical interventions» Impact of flow geometry and characteristics
• Mental load : information requirements (in/out)» To maintain “good” traffic?» To improve “bad” traffic?
Slide 4Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Research Question• Workload to meter a 4D flow structure:
• Taskload : physical interventions» Impact of flow geometry and characteristics
• Mental load : information requirements (in/out)» To maintain “good” traffic?» To improve “bad” traffic?
Slide 5Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 6: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/6.jpg)
OverviewSlide 6
Formal models•Aircraft•Flows
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 7: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/7.jpg)
OverviewSlide 7
Formal models•Aircraft•Flows
Statistical data
Calibrated models•Aircraft•Flows
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 8: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/8.jpg)
OverviewSlide 8
Formal models•Aircraft•Flows
Statistical data
Monte Carlo simulations
Flow geometry
Calibrated models•Aircraft•Flows
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 9: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/9.jpg)
OverviewSlide 9
Formal models•Aircraft•Flows
Statistical data
Monte Carlo simulations
Numeric probabilistic taskload
Flow geometry
Calibrated models•Aircraft•Flows
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 10: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/10.jpg)
OverviewSlide 10
Formal models•Aircraft•Flows
Statistical data
Formal probabilistic taskload
Monte Carlo simulations
Numeric probabilistic taskload
Flow geometry
Calibrated models•Aircraft•Flows
Flow geometry
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Step 1: Model calibrationSlide 11
Formal models•Aircraft•Flows
Statistical data
Formal probabilistic taskload
Monte Carlo simulations
Numeric probabilistic taskload
Flow geometry
Calibrated models•Aircraft•Flows
Flow geometry
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
Calibrated models•Aircraft•Flows
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Step 1: Model calibrationSlide 12
Aircraft formal model
Statistical data
Aircraft calibrated model
• Using statistical data to calibrate a stochastic model of the aircraft?
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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ICAO standards• Area Navigation (RNAV) :
• Navigate any course within a mesh of beacons
• Required Navigation Performance (RNP) :• Required navigation accuracy in a sector/ route• Added performance monitoring and alerting
specification to RNAV
Slide 13Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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ICAO standardsSlide 14Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Plane motionSlide 15
• Oscillations around a prescribed 4-D trajectory:• 3-D spatial requirements (RNP)• Associated temporal requirement (along-track)
• Traditional model: Brownian motion• Hu, Prandini, et al.• OK for short time• Unrealistic for long time (unbounded deviations)
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Formal modelSlide 16Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Calibration method:• Maximum likelihood estimation
• Available experimental data is insufficient• Statistical model in the literature:
Johnson unbound system (Levy et al., 2003)• Calibrated O-U stochastic process (3 parameters)
to match 4 statistical moments• Johnson random number generator
Slide 17Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Outcome• Simulated plane Flight Technical Error
(O-U process)• ability to follow the defined path or track
Slide 18Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Step 2: SimulationSlide 19
Formal probabilistic taskload
Monte Carlo simulations
Numeric probabilistic taskload
Flow geometry
Flow geometry
Formal models•Aircraft•Flows
Statistical data
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
Calibrated models•Aircraft•Flows
![Page 20: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/20.jpg)
Step 2: SimulationSlide 20
• Feeding the calibrated model into a simulation?
Monte Carlo simulations
Numeric probabilistictaskload
Flow geometry
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
Calibrated models•Aircraft•Flows
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Flow geometry• Multilane flows
» Different RNP standards (aircraft types, flight regions, destinations)
» Single overseeing controller» May or may not be in geographic proximity» High density enroute or parallel final approaches
Slide 21
Photo: FAA
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
![Page 22: ATC Taskload Inherent to the Geometry of Stochastic 4-D](https://reader031.vdocuments.us/reader031/viewer/2022012501/617a3727dc03683ae431d258/html5/thumbnails/22.jpg)
OutcomeSlide 22
• Taskload probability: multilane flow, 2 hours» Lane 1 RNP-0.1 ; Lane 2 RNP-0.12 ;
Lane 3 RNP-0.15 ; Lane 4 RNP-2
• Most precise lane (RNP-0.1) is the main source of taskload
• Second lane increases expectation
• Additional more tolerant lanes have little effect
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Flow geometrySlide 23
• Crossing
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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OutcomeSlide 24
• Taskload probability : crossing, 2 hours» Scheduling conflicts create most of the taskload» Avoid crossing flows; when imperative,
right angle should be favored
Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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ConclusionSlide 25Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Acknowledgments
This work was supported byNASA grant NNX08AY52A
Slide 26Popescu, Clarke, Feigh, Feron – ATC Taskload […] with Flight Technical Errors – ATM Seminar 2011
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Maximum likelihoodSlide 27
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Maximum likelihoodSlide 28
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Slide 29
Least squares
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Least squaresSlide 30
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Maximum likelihoodSlide 31
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Slide 32
Maximum likelihood
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Maximum likelihoodSlide 33
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Maximum likelihoodSlide 34
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Slide 35
Maximum likelihood
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Slide 36
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Slide 37
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Slide 38