Constructing the models of programmed flight for path calculation in designing tactical and anti-aircraft guided missiles
DOI:
https://doi.org/10.15587/1729-4061.2021.225594Keywords:
missile, programmed flight model, flight path, optimization, optimal path, calculationAbstract
Several models of programmed flight have been constructed to perform calculations on flight path optimization in designing tactical and anti-aircraft-guided missiles. The developed models are based on the determination of interrelated programmed values of altitude and the flight path angle depending on the range which have a differential relationship. The combination of flight altitude and flight-path angle programs allows the users to simulate the steady flight of a guided missile to the calculated endpoint using the methods of proportional control.
Good correspondence of the developed models to the physics of flight was shown by assessing the quality of approximation of the developed models of flight paths of anti-aircraft guided missiles obtained using other known models. The obtained approximation error was less than 5 % which indicates a good correspondence of the developed models to the physics of flight.
Compliance of the developed models of programmed flight with the intended purpose and the advantage over the most common known models were proved by optimizing the flight paths of the anti-aircraft-guided missile. In most of the considered calculation cases, the value of the objective function was improved to 2.9 %. The flight path was optimized using a genetic algorithm.
The developed models have a simple algebraic form and a small number of control parameters are presented in a ready-to-use form and do not require refinement for a concrete task. This allows them to be implemented in design practice without spending much time to speed up the calculation of optimal design variables and optimal flight paths of tactical and anti-aircraft-guided missiles
References
- Surface-to-air missile. Available at: https://en.wikipedia.org/wiki/Surface-to-air_missile
- Tactical ballistic missile. Available at: https://en.wikipedia.org/wiki/Tactical_ballistic_missile
- Golubev, I. S., Svetlov, V. G. (Eds.) (2001). Proektirovanie zenitnyh upravlyaemyh raket. Moscow: Izd-vo MAI, 732.
- Lee, E. B., Marcus, L. (1967). Foundations of Optimal Control Theory. John Wiley & Sons, 576.
- Wang, F. B., Dong, C. H. (2013). Fast Intercept Trajectory Optimization for Multi-stage Air Defense Missile Using Hybrid Algorithm. Procedia Engineering, 67, 447–456. doi: https://doi.org/10.1016/j.proeng.2013.12.045
- Pharpatara, P., Pepy, R., Herisse, B., Bestaoui, Y. (2013). Missile trajectory shaping using sampling-based path planning. 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems. doi: https://doi.org/10.1109/iros.2013.6696713
- Romanova, I. K. (2017). Traektorii poleta letatel'nyh apparatov. Moscow: Izdatel'stvo MGTU im. N. E. Baumana, 152.
- Phillips, C. L., Parr, J. M. (2011). Feedback Control Systems. Pearson.
- Romanova, I. K. (2014). Matematicheskie modeli upravlyaemogo dvizheniya letatel'nyh apparatov. Moscow: Izd-vo MGTU im. N. E. Baumana, 112.
- Yanushevsky, R. T. (2018). Modern missile guidance. CRC Press, 341. doi: https://doi.org/10.1201/9781351202954
- Zaikang, Q., Defu, L. (2019). Design of Guidance and Control Systems for Tactical Missiles. CRC Press, 254. doi: https://doi.org/10.1201/9780429291203
- Darkin, I. I. (1973). Osnovy proektirovaniya bespilotnyh letatel'nyh apparatov s uchetom ekonomicheskoy effektivnosti. Moscow: Mashinostroenie.
- Subchan, S. (2007). Trajectory Shaping of Surface-to-Surface Missile with Terminal Impact Angle Constraint. Makara Journal of Technology, 11 (2), 65–70. doi: https://doi.org/10.7454/mst.v11i2.527
- Mohamadifard, A., Naghash, A. (2011). Midcourse Trajectory Shaping for Air and Ballistic Defence Guidance, Using Bezier Curves. JAST, 8 (2), 87–95.
- Vinh, N. X., Busemann, A., Culp, R. D. (1980). Hypersonic end planetary entry flight mechanics. University of Michigan Press, 367.
- Kleijnen, J. P. C. (2008). Design and Analysis of Simulation Experiments. Springer Science+Business Media. doi: https://doi.org/10.1007/978-0-387-71813-2
- Montgomery, D. C., Peck, E. A., Vining, G. G. (2012). Introduction to linear regression analysis. John Wiley & Sons, 672.
- Tofallis, C. (2015). A better measure of relative prediction accuracy for model selection and model estimation. Journal of the Operational Research Society, 66 (8), 1352–1362. doi: https://doi.org/10.1057/jors.2014.103
- De Myttenaere, A., Golden, B., Le Grand, B., Rossi, F. (2016). Mean Absolute Percentage Error for Regression Models. Neurocomputing, 192, 38–48. doi: https://doi.org/10.1016/j.neucom.2015.12.114
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