Optimal solution to orbital three-player defense problems using impulsive transfer
- 159 Downloads
This paper investigates three-dimensional orbital three-spacecraft-player defense problems. An attacker is about to strike a non-maneuverable asset, while a defender attempts to prevent this attacking in order to protect the asset. It is assumed that both the attacker and the defender have only one chance to maneuver using impulsive thrust. The attacker is not aware of the defender’s participation, while the latter has full information about the former. A hybrid method combined particle swarm optimization with a Newton-Interpolation algorithm is proposed to solve presented orbital defense problems. Numerical results show that the proposed methodology can solve orbital three-player defense problems effectively. Energy consumption of defender is analyzed in detail to tell whether the specified upper bound of defender’s energy is justified. The interesting discovery is the valid departure window of defender in lurk orbit which have important significance for design defender’s strategy in orbital three-player defense problems.
KeywordsOrbital three-player defense problem Impulsive thrust Newton-Interpolation algorithm Particle swarm optimization
This study was funded by the Ministry of Science and Technology Fund Project (Grant No. 2015DFA81640), Aeronautical Science Foundation of China (Grant No. 20130179002) at the Huazhong University of Science and Technology, National Natural Science Foundation of China (Grant No. 61370185), Natural Science Foundation of Guangdong Province (Grant Nos. S2013010013432, S2013010015940), Science and Technology Planning Project of Huizhou (Grant Nos. 2014B050013016, 2014B020004023).
Compliance with ethical standards
Conflict of interest
All authors declare that they have no conflicts of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- Blasch EP, Pham K, Shen D (2012) Orbital satellite pursuit-evasion game-theoretical control. In: Information science, signal processing and their applications (ISSPA), 2012 11th international conference on, IEEE, pp 1007–1012Google Scholar
- Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the 6th international symposium on micro machine and human science, Nagoya, pp 39–43Google Scholar
- Goel T, Stander N (2009) Adaptive simulated annealing for global optimization in ls-opt. In: Proceedings of the 7th European LS-DYNA conference, LSTC, California, pp 1–8Google Scholar
- Hafer WT, Reed HL (2015) Orbital pursuit-evasion hybrid spacecraft controllers. In: AIAA guidance, navigation, and control conference, Kissimmee, Florida, AIAA Paper 2015–2000. doi: 10.2514/6.2015-2000
- Hu X, Shi Y, Eberhart RC (2004) Recent advances in particle swarm. In: Proceedings of IEEE congress on evolutionary computation, vol 1, pp 90–97Google Scholar
- Liu Y, Li R, Wang S (2016a) Orbital three-player differential game using semi-direct collocation with nonlinear programming. In: 2016 2nd international conference on control science and systems engineering (ICCSSE), pp 217–222. doi: 10.1109/CCSSE.2016.7784385
- Liu Y, Li R, Wang S (2016b) Particle swarm optimization applied to orbital three-player conflict. In: 2016 8th international conference on intelligent human-machine systems and cybernetics (IHMSC), vol 02, pp 513–517. doi: 10.1109/IHMSC.2016.171
- Liu Y, Li R, Wang S (2017) Optimal anti-interception orbit design based on genetic algorithm. Int J Comput Sci Eng (in press)Google Scholar
- Menon PKA, Calise AJ, Leung SKM (1988) Guidance laws for spacecraft pursuit-evasion and rendezvous. In: AIAA guidance navigation and control conference, Minneapolis, pp 688–697Google Scholar
- Morgan JA (2011) Interception in differential pursuit/evasion games. arXiv preprint arXiv:1109.4059
- Perelman A, Shima T, Rusnak I (2011) Cooperative differential games strategies for active aircraft protection from a homing missile. J Guid Control Dyn 34(3):761–773. doi: 10.2514/1.51611
- Rusnak I (2008) Guidance laws in defense against missile attack. In: IEEE 25th convention of electrical and electronics engineers in Israel, pp 90–94. doi: 10.1109/EEEI.2008.4736664
- Shen D, Pham K, Blasch E, Chen H, Chen G (2011) Pursuit-evasion orbital game for satellite interception and collision avoidance. In: Proceedings of SPIE, vol 8044. doi: 10.1117/12.882903
- Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, pp 69–73. doi: 10.1109/ICEC.1998.699146
- Stratemeier D (2002) Optimum two-impulse orbital transfer solved using evolutionary programming. In: AIAA/AAS astrodynamics specialist conference and exhibit, Monterey, CA, AIAA Paper 2002–4908. doi: 10.2514/6.2002-4908