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《北京理工大学学报(英文版)》 2013-01
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Re-entry trajectory optimization using a multiple- interval Radau pseudospectral method

HAN Peng ,SHAN Jia-yuan,MENG Xiu-yun ( Key Laboratory of Dynamic and Control of Flight Vehicle,Ministry of Education, Beijing Institute of Technology,Beijing 100081,China)  
Aiming at increasing the calculation efficiency of the pseudospectral methods,a multiple-interval Radau pseudospectral method ( RPM) is presented to generate a reusable launch vehicle ( RLV) 's optimal reentry trajectory. After dividing the optimal control problem into many intervals,the state and control variables are approximated using many fixed-and low-degree Lagrange polynomials in each interval. Convergence of the numerical discretization is then achieved by increasing the number of intervals. With the application of the proposed method,the normal nonlinear programming ( NLP) problem transcribed from the optimal control problem can avoid being dense because of the low-degree approximation polynomials in each interval. Thus,the NLP solver can easily compute a solution. Finally,simulation results show that the optimized re-entry trajectories satisfy the path constraints and the boundary constraints successfully. Compared with the single interval RPM, the multiple-interval RPM is significantly faster and has higher calculation efficiency. The results indicate that the multiple-interval RPM can be applied for real-time trajectory generation due to its high efficiency and high precision.
【CateGory Index】: V448.235
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【Co-citations】
Chinese Journal Full-text Database 7 Hits
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5 Peng Haijun 1 Gao Qiang 1 Wu Zhigang 2 Zhong Wanxie 1(Department of Engineering Mechanics,State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,116024,Dalian,China) 1(School of Aeronautics and Astronautics,State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116024,China) 2;Symplectic adaptive algorithm for solving nonlinear trajectory optimization problem[J];Chinese Journal of Applied Mechanics;2010-04
6 LIU Xinggao , CHEN Long and HU Yunqing State Key Laboratory of Industry Control Technology, Department of Control Science & Engineering, Zhejiang University, Hangzhou 310027, China;Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies[J];中国化学工程学报(英文版);2013-01
7 JIANG Rui-rui;CHANG Yan;XU Ya-jie;ZHANG Guang-cai;WANG Xiao-guan;YANG Xiao-dong;Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences;University of Chinese Academy of Sciences;Medical Imaging Division, Suzhou Institute of Biomedical Engineering and Technology,Chinese Academy of Sciences;;Progress on the algorithms of optimal pulse design in MR[J];Chinese Journal of Medical Imaging Technology;2013-12
China Proceedings of conference Full-text Database 1 Hits
1 Yuxin Liao 1 , Huifeng Li 1 1. School of Astronautics, Beihang University, Beijing 100191;Trajectory Optimization for Terminal Phase Flight of Hypersonic Reentry Vehicles with Multi-constraints[A];[C];2013
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