References
- Cervantes, L., and Biegler, L. T., "Optimization Strategies for Dynamic Systems", Encyclopedia of Optimization, edited by Floudas, C., and Pardalos, P., Vol. 4, Kluwer, 2001, pp. 216-227.
- Betts, J. T., “Survey of Numerical Methods for Trajectory Optimization”, Journal of Guidance, Control, and Dynamics, Vol. 20, No. 2, Mar.-Apr. 1998, pp. 193-207.
- Bryson, A. E., Jr., and Ho, Y. C., Applied Optimal Control, Hemisphere Publishing, 1975.
- Kirk, D. E., Optimal Control Theory; An Introduction, Dover, New York, 1970.
- Fraser-Andrews, G., “A Multiple-Shooting Technique for Optimal Control”, Journal of Optimization Theory and Applications, Vol. 102, No. 2, Aug. 1999, pp. 299-313. https://doi.org/10.1023/A:1021728407151
- Oberle, H. J., and Grimm, W., “BNDSCO; A Program for the Numerical Solution of Optimal Control Problems”, DFVLR Report No. 515, Institute for Flight Systems Dynamics, Oberpfaffenhofen, German Aerospace Research Establishment DLR, 1989.
- Steibach, M., Fast Recursive SQP Methods for Large Scale Optimal ControlProblems, Ph. D. dissertation, University of Heidelberg, 1995.
- Betts, J. T., “Practical Methods for Optimal Control Optimal Control Using Nonlinear Programming”, Society for Industrial and Applied Mathematics Press, 2001.
- Huntington, G. T., Advancement and Analysis of a Gauss Pseudospectral Transcription for Optimal Control Problems, PH. D. Dissertation, Massachusetts Institute of Technology, June 2007.
- Kim, C.-J., Sung, S. K., Park, S. H., S.-N. Jung, and Yee, K., “Selection of Rotorcraft Models for Application to Optimal Control Problems”, Journal of Guidance, Control, and Dynamics, Vol. 20, No. 2, Mar.-Apr. 1998, pp. 193-207.
- Cloutier, J. R., “State-Dependent Riccati Equation Techniques: An Overview”, Proceeding of the American Control Conference, June 1997, pp. 932-936. https://doi.org/10.1109/ACC.1997.609663
- Cloutier, J. R. and Stansbery, D. T., “The capabilities and Art of State-Dependent Riccati Equation-Based Design”, Proceeding of the American Control Conference, May 2002, pp86-91. https://doi.org/10.1109/ACC.2002.1024785
- Menon, P. K., Lam, T., Crawford, L. S., and Cheng, V. H. L., “Real-Time Computational Methods for SDRE Nonlinear Control of Missiles”, Proceeding of the American Control Conference, May 2002. https://doi.org/10.1109/ACC.2002.1024809
- Kim, C.-J., Sung, S.-K., Yang C. D., and Yu, Y. H., “Rotorcraft Trajectory Tracking Using the State-Dependent Riccati Equation Controller”, Transactions of the Japan Society for Aeronautical and Space Science, accepted and to be pubilished, Vol. 51, No-173, November, 2008. https://doi.org/10.2322/tjsass.51.184
- Moler C. and Loan, C. F. V., "Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later", Society for Industrial and Applied Mathematics, Vol45, No.1, 2003 https://doi.org/10.1137/S00361445024180
- Loan, C. F. V., “Computing Integrals Involving the Matrix Exponential”, IEEE Transactions on Automatic Control, Vol. AC-23, No. 3, pp. 395-404,June, 1978.
- Kim, C.-J., “Numerical Stability Investigation of Integration Inverse Simulation Method for the Analysis of Helicopter Flight during Aggressive Maneuver”, Spring Meeting of Korean Society for Aeronautical and Space Sciences, Apr. 2002.
- Kim, C.-J., Yun, C. Y., and Choi, S., “Fully Implicit Formulation and Its Solution for Rotor Dynamics by Using Differential Algebraic Equation (DAE) Solver and Partial Periodic Trimming Algorithm (PPTA)”, 31st European Rotorcraft Forum, Florence, Italy, Sept. 13-16, 2005.
- Kim, C.-J., Jung, S.-N., Lee J., Byun, Y. H., and Yu, Y. H., “Analysis of Helicopter Mission Task Elements by Using Nonlinear Optimal Control Method”, 33rd European Rotorcraft Forum, Russia, Kazan, Sept. 11-13, 2007.
- Chen, R. T. N., “Effects of Primary Rotor Parameters on Flapping Dynamics”, NASA TP-1431, 1980.
- Rutherford, S., and Thomson, D. G., “Improved methodology for Inverse Simulation”, Aeronautical Journal, Vol. 100, No. 993, Mar. 1996, pp. 79-86.
- Bradley, R., and Thomson, D. G., “The Use of Inverse Simulation for Preliminary Assessment of Helicopter Handling Qualities”, Aeronautical Journal, Vol. 101, No. 1007, Sept. 1997, pp. 287-294.
- Nocedal, J., and Wright, S., J., Numerical Optimization, Springer-Verlag, New York, 1999.
- Leineweber, D., B., “The theory of MUSCO in a Nutshell”, IWR technical Report 96-16, University of Heidelberg, 1996.
- Chang-Joo Kim, Soo Hyung Park, Sang Kyung Sung, and Sung-Nam Jung, “ Nonlinear Optimal Control Analysis Using State-Dependent Matrix Exponential and Its Integrals”, Journal of Guidance, Control, and Dynamics, Vol. 32, No. 1, Jan.. Feb. 2009, pp. 309-313. https://doi.org/10.2514/1.38886
Cited by
- Numerical Time-Scale Separation for Rotorcraft Nonlinear Optimal Control Analyses vol.37, pp.2, 2014, https://doi.org/10.2514/1.59557