Optimization of glide trajectory for a hypersonic vehicle
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摘要: 针对高超声速飞行器滑行的密度模型、动力学模型、空气动力模型和作为输入的攻角,将弹道问题转化为最优控制问题,采用极大值原理求得航程最大的一阶必要条件,采用多次变区间的遗传算法、非线性单纯形法和邻近极值法的组合优化策略来求解此两点边值问题,首先用多次变区间的遗传算法和单纯形方法求得全局航程最大,然后用邻近极值法得到合适的初值满足所有终端约束,通过对一高超声速飞行器的算例进行了优化计算,得到了最优弹道和优化算法的收敛曲线,并与升阻比最大飞行方案进行比较可知,最优控制方案求得的航程大于升阻比最大飞行方案的航程.Abstract: According to hypersonic vehicle’s density model, dynamic model, areodynamic force models and the angle of attack considered as the input, the trajectory problem was cast as the optimal control problem and pontriaghin maximum principle was used to obtain first order necessary condition. A combined optimal approach including changing-region gene algorithm and nelder-mead simplex method and neighboring extrem method were proposed to explore two point boundary value problem. Firstly the gene algorithm and simplex method was used to get the goal optimal solution and then gained the fit initial value which is satisfied with strictly terminal constraints by neighboring extrem method. By optimizing a hypersonic vehicle case, optimal trajectory and the curve convergent was gained, and the result was compared with the flight scheme of maximizing the rate of lift and drag, the range obtaining by optimal control is longer than that by the flight scheme of maximizing the rate of lift and drag.
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Key words:
- trajectory /
- optimization /
- optimal control systems /
- genetic algorithms /
- hypersonic vehicle /
- TPBVP
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[1] Chuang C H, Morimoto Hitoshi. Periodic optimal cruise for a hypersonic vehicle with constrains[J]. Journal of Spacecraft and Rockets,1997, 34(2):165-171 [2] Hitoshi Morimoto, Chuang Jason C H. Minimum-fuel trajectory along entire flight profile for a hypersonic vehicle with constraint . AIAA 98-4122,1998 [3] Donglong Sheu, Chen Yu Min, Chang Yuan Jen, et al. Optimal glide for maximum range . AIAA 98-4462,1998 [4] Sheu Donglong , Chen Yu Min, Chern Jeng Shing. Optimal three-dimensional glide for maximum reachable domain . AIAA 99-4245,1999 [5] 赵汉元.飞行器再入动力学与制导[M].长沙:国防科技大学 版社,1997 Zhao Hanyuan.Fight vehicle reentry dynamics and guidance[M].Changsha:National University of Defense Technology Press,1997(in Chinese) [6] 符曦.系统最优化及控制[M].北京:机械工业出版社,1995 Fu Xi.System optimization and control[M].Beijing:Mechanical Industry Press,1995(in Chinese) [7] 王日爽.泛函分析与最优化理论[M].北京:北京航空航天大学 版社,2003 Wang Rishuang. Functional analysis and optimal theory [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2003(in Chinese) [8] 周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999 Zhou Ming,Sun Shudong.Genetic algorithms:theory and applications [M].Beijing:National Defense Industry Press,1999(in Chinese)
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