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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 557-563.

• 论文 • 上一篇    下一篇

A COMPUTATIONAL METHOD FOR INTERVAL MIXED VARIABLE ENERGY MATRICES IN PRECISE INTEGRATION

高索文1, 吴志刚2, 王本利1, 马兴瑞3   

  1. 1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China;
    2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China;
    3. Chinese Academy of Space Technology, Beijing 100081, P. R. China
  • 收稿日期:2000-02-02 修回日期:2000-12-25 出版日期:2001-05-18 发布日期:2001-05-18
  • 基金资助:

    the 95 Preliminary Studies Foundation of National Defence(A966000-50)

A COMPUTATIONAL METHOD FOR INTERVAL MIXED VARIABLE ENERGY MATRICES IN PRECISE INTEGRATION

GAO Suo-wen1, WU Zhi-gang2, WANG Ben-li1, MA Xing-rui3   

  1. 1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China;
    2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China;
    3. Chinese Academy of Space Technology, Beijing 100081, P. R. China
  • Received:2000-02-02 Revised:2000-12-25 Online:2001-05-18 Published:2001-05-18
  • Supported by:

    the 95 Preliminary Studies Foundation of National Defence(A966000-50)

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摘要： To solve the Riccati equation of LQ control problem, the computation of interval mixed variable energy matrices is the first step. Taylor expansion can be used to compute the matrices. According to the analogy between structural mechanics and optimal control and the mechanical implication of the matrices, a computational method using state transition matrix of differential equation was presented. Numerical examples are provided to show the effectiveness of the present approach.

Abstract: To solve the Riccati equation of LQ control problem, the computation of interval mixed variable energy matrices is the first step. Taylor expansion can be used to compute the matrices. According to the analogy between structural mechanics and optimal control and the mechanical implication of the matrices, a computational method using state transition matrix of differential equation was presented. Numerical examples are provided to show the effectiveness of the present approach.

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