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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국항공우주학회 International Journal of Aeronautical and Space Sciences International Journal of Aeronautical and Space Sciences Volume.15 Number.2
- 발행연도
- 2014.6
- 수록면
- 183 - 189 (7page)
이용수
초록· 키워드
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Pseudo-spectral method typically converges at an exponential rate. However, it requires a special set of fixed collocation points (CPs) to get highly accurate formulas for partial integration and differentiation. In this study, computational nodes for defining the discrete variables of states and controls are built independently of the CPs. The state and control variables at each CP, which are required to transcribe an NOCP into the corresponding NLP, are interpolated, using those variables allocated at each node. Additionally, Lagrange interpolation and spline interpolation are investigated, to provide a guideline for selecting a favorable interpolation method. The proposed techniques are applied to the solution of an NOCP using equally spaced nodes, and the computed results are compared to those using the standard PS approach, to validate the usefulness of the proposed methods.
목차
Abstract
1. Introduction
2. Generalization of Computational Nodes
3. Applications and Discussions
4. Conclusions
References
참고문헌 (16)
참고문헌 신청
1. [학술지(정기간행물)] - Williams, P. / 2005 / A Gauss-Lobatto Quadrature Method for Solving Optimal Control Problems / Australian and New Zealand Industrial and Applied Mathematics Journal 47 : 101 ~ 115
2. [학술지(정기간행물)] - Fahroo, F. / 2001 / Costate Estimation by a Legendre Pseudo-spectral Method / AIAA Journal of Guidance, Control and Dynamics 24 (2) : 270 ~ 277
3. [학술지(정기간행물)] - Gong, Q. / 2008 / Connections between the Covector Mapping Theorem and Convergence of Pseudo-spectral Methods for Optimal Control / Computational Optimization and Applications 41 (3) : 307 ~ 335
4. [학술대회논문] - Kim, C.-J. / 2011 / Pseudo-spectral Application to Nonlinear Optimal Trajectory Generation of a Rotorcraft / The First International Conference on Engineering and Technology Innovation
5. [학술지(정기간행물)] - Kim, C.-J. / 2014 / Time-Scale Separation for Rotorcraft Nonlinear Optimal Control Analyses / Journal of Guidance, Control and Dynamics 37 (2) : 655 ~ 673
2. [학술지(정기간행물)] - Fahroo, F. / 2001 / Costate Estimation by a Legendre Pseudo-spectral Method / AIAA Journal of Guidance, Control and Dynamics 24 (2) : 270 ~ 277
3. [학술지(정기간행물)] - Gong, Q. / 2008 / Connections between the Covector Mapping Theorem and Convergence of Pseudo-spectral Methods for Optimal Control / Computational Optimization and Applications 41 (3) : 307 ~ 335
4. [학술대회논문] - Kim, C.-J. / 2011 / Pseudo-spectral Application to Nonlinear Optimal Trajectory Generation of a Rotorcraft / The First International Conference on Engineering and Technology Innovation
5. [학술지(정기간행물)] - Kim, C.-J. / 2014 / Time-Scale Separation for Rotorcraft Nonlinear Optimal Control Analyses / Journal of Guidance, Control and Dynamics 37 (2) : 655 ~ 673
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