A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration

GAO Suo-wen; WU Zhi-gang; WANG Ben-li; MA Xing-rui

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(5): 493-498

GAO Suo-wen, WU Zhi-gang, WANG Ben-li, MA Xing-rui. A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration[J]. Applied Mathematics and Mechanics, 2001, 22(5): 493-498.

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A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration

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 Date: 2000-02-02
Rev Recd Date: 2000-12-25
Publish Date: 2001-05-15

Abstract

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.
- precise integration,
- Riccati equation,
- optimal control

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References(4)

References

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