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Neighboring Optimal Control using Pseudospectral Legendre Method  

이대우 (부산대학교 항공우주공학과)
조겸래 (부산대학교 항공우주공학과)
Publication Information
Journal of the Korean Society for Precision Engineering / v.21, no.7, 2004 , pp. 76-82 More about this Journal
Abstract
The solutions of neighboring optimal control are typically obtained using the sweep method or transition matrices. Due to the numerical integration, however, the gain matrix can become infinite as time go to final one in the transition matrices, and the Riccati solution can become infinite when the final time free. To overcome these disadvantages, this paper proposes the pseudospectral Legendre method which is to first discreteize the linear boundary value problem using the global orthogonal polynomial, then transforms into an algebraic equations. Because this method is not necessary to take any integration of transition matrix or Riccati equation, it can be usefully used in real-time operation. Finally, its performance is verified by the numerical example for the space vehicle's orbit transfer.
Keywords
Neighboring Optimal Control; Two-Point Boundary Value Problem; global orthogonal polynomial Polynomial; Pseudospectral Legendre Method; Legendre-Gauss-Lobatto; Linear Algebraic Equations;
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Times Cited By KSCI : 1  (Citation Analysis)
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