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A Chebyshev-Gauss Pseudospectral Method for Solving Optimal Control Problems 被引量：7

A Chebyshev-Gauss Pseudospectral Method for Solving Optimal Control Problems
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作者 TANG Xiao-Jun WEI Jian-Li CHEN Kai
机构地区 School of Aeronautics School of Astronautics
出处 《自动化学报》 EI CSCD 北大核心 2015年第10期1778-1787,共10页 Acta Automatica Sinica
基金 Supported by Natural Science Basic Research Plan in Shaanxi Province of China(2014JQ8366) Fundamental Research Foundation of Northwestern Polytechnical University(JC20120210,JC20110238) Aeronautical Science Foundation of China(20120853007)
关键词 最优控制问题 切比雪夫 高斯点 伪谱法 拉格朗日插值 非线性规划问题 数值稳定性 求解 Optimal control, pseudospectral methods, costate estimation, Chebyshev-Gauss points
分类号 O232 [理学—运筹学与控制论] O174.42 [理学—基础数学]
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参考文献21

  • 1Benson D A. A Gauss Pseudospectral Transcription for Optimal Control [Ph.D. dissertation], Massachusetts Institute of Technology, USA, 2004.
  • 2Benson D A, Huntington G T, Thorvaldsen T P, Rao A V. Direct trajectory optimization and costate estimation via an orthogonal collocation method. Journal of Guidance, Control, and Dynamics, 2006, 29(6): 1435-1440.
  • 3Huntington G T. Advancement and Analysis of a Gauss Pseudospectral Transcription for Optimal Control Problems [Ph.D. dissertation], Massachusetts Institute of Technology, USA, 2007.
  • 4Garg D, Patterson M A, Francolin C, Darby C L, Huntington G T, Hager W W, Rao A V. Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Computational Optimization and Applications, 2011, 49(2): 335-358.
  • 5Garg D, Hager W W, Rao A V. Pseudospectral methods for solving infinite-horizon optimal control problems. Automatica, 2011, 47(4): 829-837.
  • 6Garg D. Advances in Global Pseudospectral Methods for Optimal Control [Ph.D. dissertation], Massachusetts Institute of Technology, USA, 2011.
  • 7Elnagar G, Kazemi M A, Rzaazghi M. The pseudospectral Legendre method for discretizing optimal control problems. IEEE Transactions on Automatic Control, 1995, 40(10): 1793-1796.
  • 8Elnagar G N, Rzaazghi M. A collocation-type method for linear quadratic optimal control problems. Optimal Control Applications and Methods, 1997, 18(3): 227-235.
  • 9Fahroo F, Ross I M. Costate estimation by a Legendre pseudospectral method. Journal of Guidance, Control, and Dynamics, 2001, 24(2): 270-277.
  • 10Elnagar G N, Kazemi M A. Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems. Computational Optimization and Applications, 1998, 11(2): 195-217.

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自动化学报
2015年 第10期

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