复杂约束条件下高超声速飞行器再入轨迹优化
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摘要
针对飞行器材料的物理性质和战略应用实际,设定热流、过载、动压和禁飞区等约束条件,构建了非线性多耦合最优控制问题模型。利用自适应伪谱法进行模型转换,经过网格细化配点优化过程,使状态变化量较大的时间区间被进一步细分,降低了系统误差的同时将初始最优控制问题转变成非线性规划问题。提出了最大轨迹空间使得优化轨迹满足复杂约束,并使用SNOPT求解器解算出符合条件的最优轨迹。仿真结果表明,再入轨迹可以满足约束条件,在避开禁飞区的同时取得最优指标。
Based on the physical properties of aircraft materials and the practical application of strategy,the constraints of heat flow,overload,dynamic pressure and no-fly zone were set up to form the nonlinear multi-coupling optimal control problem. The adaptive pseudo-spectral method was used to transform the model,and the time interval with large state variations was further subdivided by the mesh refinement and point assignment optimization process,which reduces the system error and transforms the initial optimal control problem into a nonlinear programming problem. The maximum trajectory space was proposed to make the optimal trajectory satisfy complex constraints,and the optimal trajectory was solved by using SNOPT solver. The simulation results show that the reentry trajectory can satisfy the constraints and obtain the optimal index while avoiding the no-fly zone.
Based on the physical properties of aircraft materials and the practical application of strategy,the constraints of heat flow,overload,dynamic pressure and no-fly zone were set up to form the nonlinear multi-coupling optimal control problem. The adaptive pseudo-spectral method was used to transform the model,and the time interval with large state variations was further subdivided by the mesh refinement and point assignment optimization process,which reduces the system error and transforms the initial optimal control problem into a nonlinear programming problem. The maximum trajectory space was proposed to make the optimal trajectory satisfy complex constraints,and the optimal trajectory was solved by using SNOPT solver. The simulation results show that the reentry trajectory can satisfy the constraints and obtain the optimal index while avoiding the no-fly zone.
引文
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[2]高龙波,李本威,张赘.无人机远航飞行轨迹优化研究[J].兵器装备工程学报,2016,37(3):94-97.
[3]陈凯捷,戈新生.基于Legendre伪谱法的空间机器人姿态运动的最优控制[J].国际航空航天科学,2015,3(4):77-83.
[4]王璐.伪谱法在最优控制问题中的应用[D].哈尔滨:哈尔滨工程大学,2014.
[5] WANG X W,PENG H J,ZHANG S,CHEN B S,ZHONG W X. A symplectic pseudospectral method for nonlinear optimal control problems with inequality constraints[J]. ISA transactions,2017,68:335-352.
[6]洪蓓,辛万青.基于hp自适应伪谱法的固体运载火箭轨迹优化[J].航天控制,2012,30(4):18-22,31.
[7]邱文杰,孟秀云.基于hp自适应伪谱法的飞行器多阶段轨迹优化[J].北京理工大学学报(自然科学版),2017,37(4):412-417.
[8] YU X,LI P,ZHANG Y M. The Design of Fixed-Time Observer and Finite-Time Fault-Tolerant Control for Hypersonic Gliding Vehicles[J]. IEEE Transactions on Industrial Electronics,2018,26(5):4135-4144.
[9] TANG X J,LIU Z B,WANG X. Integral fractional pseudospectral methods for solving fractional optimal control problems[J]. Automatica,2015,62:304-311.
[10]张鹏程,李新国.基于Gauss伪谱方法的高超声速飞行器再入轨迹快速优化.电子设计工程,2013,21(15):105-108.
[11]雍恩米,唐国金,陈磊.基于Gauss伪谱方法的高超声速飞行器再入轨迹快速优化[J].宇航学报,2008,29(6):1766-1772.
[12]夏红伟,李秋实,李莉,等.基于hp自适应伪谱法的飞行器再入轨迹优化与制导[J].中国惯性技术学报,2015,23(6):42-47.
[13]张广豪.高超声速飞行器滑翔再入轨迹优化与跟踪制导方法研究[D].西安:火箭军工程大学,2017.
[14]王丽英,张友安,黄诘.带约束的末制导律与伪谱法轨迹优化[M].北京:国防工业出版社,2015.