Abstract
This paper considers aircraft landing on a carrier. We propose two schemes for calculating, first, the probability of a go-around due to disengaging the arresting gear and, second, the maximum descent of the aircraft’s trajectory with respect to the deck level immediately after leaving the deck. The instant to increase the aircraft’s thrust before touching the deck is a control parameter affecting these characteristics. The requirements imposed on the probability of a go-around and the maximum descent of the aircraft’s trajectory allow determining an admissible range for the thrust increase instant. Numerical results are presented for a real aircraft landing on a real carrier.
Notes
Of course, the go-around maneuver can be decided before the expected instant of touching the deck if it becomes clear that, for one reason or another, the probability of a successful landing is not high enough. This aspect of landing on carriers was discussed in detail in [10].
It is less than 10–5 under moderate sea state (see [1]).
REFERENCES
Dekker, R.M., Tests to Determine the Suitability of Ship-Based Aircraft for Take-off and Landing Operations, Central Aerohydrodynamic Institute Technical Report no. 12242, 1973.
Semakov, S.L., Vybrosy sluchainykh protsessov: prilozheniya v aviatsii (Bursts of Random Processes: Applications in Aviation), Moscow: Nauka, 2005.
Rife, J., Khanafseh, S., Pullen, S., et al., Navigation, Interference Suppression, and Fault Monitoring in the Sea-based Joint Precision Approach and Landing System, Proc. of the IEEE, 2008, vol. 96, no. 12, pp. 1958–1975.
Isaacs, J.T., Ezal, K.O., and Hespanha, J.P., Local Carrier-based Precision Approach and Landing System, Proc. 2016 IEEE 55th Conference on Decision and Control (CDC-2016), Las Vegas, 2016, pp. 6284–6290.
Semakov, S.L. and Semakov, I.S., Estimating the Probability of Safe Landing for Aircrafts, Proc. 2019 IEEE 58th Conference on Decision and Control (CDC-2019), Nice, 2019, pp. 2568–2573.
Hess, R.A., Analysis of the Aircraft Carrier Landing Task, Pilot + Augmentation/Automation, IFACPapersOnLine, 2019, vol. 51, no. 34, pp. 359–365.
Sidar, M. and Doolin, B., On the Feasibility of Real-Time Prediction of Aircraft Carrier Motion at Sea, IEEE Trans. Autom. Control, 1983, vol. 28, no. 3, pp. 350–356.
Bem, L.A., Gurov, V.F., Kabachinskii, V.V., et al., Patent no. RU2042583C1, 1991.
Semakov, S.L., Crossings Problems in Random Processes Theory and Their Applications in Aviation, Newcastle: Cambridge Scholars Publishing, 2019.
Semakov, S.L., Aircraft Landing Strategy, Proc. 2021 IEEE 7th International Conference on Control, Automation, and Robotics (ICCAR-2021), Singapore, 2021, pp. 184–188.
Barratt, S.T., Kochenderfe, M.J., and Boyd, S.P., Learning Probabilistic Trajectory Models of Aircraft in Terminal Airspace from Position Data, IEEE Trans. Intell. Transp. Syst., 2019, vol. 20, no. 9, pp. 3536–3545.
Zhen, Z., Yu, C., Jiang, S., and Jiang, J., Adaptive Super-twisting Control for Automatic Carrier Landing of Aircraft, IEEE Trans. Aerosp. Electron. Syst., 2020, vol. 56, no. 2, pp. 984–997.
Semakov, S.L. and Semakov, I.S., Method of Calculating the Probability of a Safe Landing for Ship-Based Aircraft, IEEE Trans. Aerosp. Electron. Syst., 2022, vol. 58, no. 6, pp. 5425–5442.
Semakov, S.L., First Arrival of a Stochastic Process at the Boundary, Autom. Remote Control, 1988, vol. 49, no. 6, pp. 757–764.
Semakov, S.L., The Probability of the First Hitting of a Level by a Component of a Multidimensional Process on a Prescribed Interval under Restrictions on the Remaining Components, Theor. Prob. App., 1989, vol. 34, no. 2, pp. 357–361.
Semakov, S.L. and Semakov, I.S., Estimating the Probability that a Random Process First Reaches the Boundary of a Region on a Given Time Interval, Proc. 2018 IEEE 57th Conference on Decision and Control (CDC-2018), Miami Beach, 2018, pp. 256–261.
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This paper was recommended for publication by A.A. Galyaev, a member of the Editorial Board
APPENDIX
APPENDIX
Table 1
Δt, s | P ag | ||
---|---|---|---|
τ = 1 s | τ = 1.5 s | τ = 2 s | |
0.2 | 0.0081 | 0.0079 | 0.0078 |
0.3 | 0.0086 | 0.0082 | 0.0079 |
0.4 | 0.0090 | 0.0085 | 0.0081 |
0.5 | 0.0096 | 0.0088 | 0.0083 |
1.0 | 0.0172 | 0.0129 | 0.0108 |
1.5 | 0.0545 | 0.0302 | 0.0206 |
1.7 | 0.1003 | 0.0498 | 0.0307 |
1.8 | 0.1385 | 0.0658 | 0.0389 |
1.9 | 0.1917 | 0.0885 | 0.0501 |
2.0 | 0.2635 | 0.1202 | 0.0658 |
2.1 | 0.3562 | 0.1642 | 0.0876 |
2.2 | 0.4689 | 0.2237 | 0.1178 |
2.3 | 0.5945 | 0.3015 | 0.1592 |
2.4 | 0.7205 | 0.3987 | 0.2148 |
2.5 | 0.8312 | 0.5123 | 0.2873 |
Table 2
Δt, s | Hds, m | ||
---|---|---|---|
τ = 1 s | τ = 1.5 s | τ = 2 s | |
0.2 | –2.052 | –2.334 | –2.590 |
0.3 | –1.993 | –2.270 | –2.523 |
0.4 | –1.937 | –2.208 | –2.458 |
0.5 | –1.881 | –2.147 | –2.394 |
1.0 | –1.633 | –1.871 | –2.099 |
1.5 | –1.425 | –1.635 | –2.844 |
1.7 | –1.352 | –1.552 | –1.752 |
1.8 | –1.317 | –1.512 | –1.708 |
1.9 | –1.284 | –1.473 | –1.666 |
2.0 | –1.251 | –1.436 | –1.625 |
2.1 | –1.220 | –1.400 | –1.585 |
2.2 | –1.190 | –1.365 | –1.546 |
2.3 | –1.161 | –1.332 | –1.509 |
2.4 | –1.133 | –1.299 | –1.472 |
2.5 | –1.106 | –1.268 | –1.437 |
Table 3
Δt, s | \({{{v}}_{{{\text{tc}}}}}\), m/s | ||
---|---|---|---|
τ = 1 s | τ = 1.5 s | τ = 2 s | |
0.2 | 67.210 | 67.039 | 66.944 |
0.3 | 67.389 | 67.174 | 67.053 |
0.4 | 67.591 | 67.322 | 67.173 |
0.5 | 67.786 | 67.482 | 67.304 |
1.0 | 68.930 | 68.407 | 68.079 |
1.5 | 70.166 | 69.464 | 68.991 |
1.7 | 70.664 | 69.904 | 69.380 |
1.8 | 70.912 | 70.125 | 69.577 |
1.9 | 71.157 | 70.348 | 69.776 |
2.0 | 71.402 | 70.570 | 69.976 |
2.1 | 71.644 | 70.793 | 70.177 |
2.2 | 71.883 | 71.014 | 70.379 |
2.3 | 72.120 | 71.235 | 70.581 |
2.4 | 72.354 | 71.455 | 70.783 |
2.5 | 72.585 | 71.674 | 70.985 |
Table 4
Δt, s | \({{{v}}_{{{\text{lv}}}}}\), m/s | ||
---|---|---|---|
τ = 1 s | τ = 1.5 s | τ = 2 s | |
0.2 | 76.941 | 75.952 | 75.208 |
0.3 | 77.198 | 76.192 | 75.430 |
0.4 | 77.453 | 76.433 | 75.652 |
0.5 | 77.705 | 76.674 | 75.876 |
1.0 | 78.929 | 77.859 | 76.991 |
1.5 | 80.077 | 78.997 | 78.084 |
1.7 | 80.153 | 79.436 | 78.511 |
1.8 | 80.727 | 79.651 | 78.722 |
1.9 | 80.935 | 79.865 | 78.931 |
2.0 | 81.142 | 80.075 | 79.137 |
2.1 | 81.345 | 80.283 | 79.342 |
2.2 | 81.543 | 80.487 | 79.545 |
2.3 | 81.739 | 80.689 | 79.746 |
2.4 | 81.931 | 80.888 | 79.944 |
2.5 | 82.120 | 81.084 | 80.140 |
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Semakov, S.L., Semakova, M.V. Thrust Control for Aircraft Landing on a Carrier. Autom Remote Control 84, 294–304 (2023). https://doi.org/10.1134/S0005117923030098
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DOI: https://doi.org/10.1134/S0005117923030098