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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 18-25.

• 论文 • 上一篇    下一篇

TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM

邓子辰1,2, 钟万勰2   

  1. 1. Department of Civil Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China;
    2. State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China
  • 收稿日期:2000-03-15 修回日期:2001-10-09 出版日期:2002-01-18 发布日期:2002-01-18
  • 基金资助:

    the National Natural Science Foundation of China(19872057, 19732020),HUO Ying-dong Youth Teacher Foundation(71005), the Aeronautics Science Foundation(OOB53006),the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment

TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM

DENG Zi-chen1,2, ZHONG Wan-xie2   

  1. 1. Department of Civil Engineering, Northwestern Polytechnical University, Xi’an 710072, P. R. China;
    2. State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China
  • Received:2000-03-15 Revised:2001-10-09 Online:2002-01-18 Published:2002-01-18
  • Supported by:

    the National Natural Science Foundation of China(19872057, 19732020),HUO Ying-dong Youth Teacher Foundation(71005), the Aeronautics Science Foundation(OOB53006),the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment

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摘要： For the constrained nonlinear optimal control problem, by taking the first term of Taylor series, the dynamic equation is linearized. Thus by introducing into the dual variable (Lagrange multiplier vector), the dynamic equation can be transformed into Hamilton system from Lagrange system on the basis of the original variable. Under the whole state, the problem discussed can be described from a new view, and the equation can be precisely solved by the time precise integration method established in linear dynamic system. A numerical example shows the effectiveness of the method.

Abstract: For the constrained nonlinear optimal control problem, by taking the first term of Taylor series, the dynamic equation is linearized. Thus by introducing into the dual variable (Lagrange multiplier vector), the dynamic equation can be transformed into Hamilton system from Lagrange system on the basis of the original variable. Under the whole state, the problem discussed can be described from a new view, and the equation can be precisely solved by the time precise integration method established in linear dynamic system. A numerical example shows the effectiveness of the method.

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