Application of Pseudospectral Methods for Receding Horizon Control

Journal of Guidance, Control, and Dynamics

Volumn 27, Issue 2, 2004, Pages 310-314

  Williams, Paul ^a,b  

^a RMIT UNIVERSITY   (Australia)

^b Sch Aerosp Mech/Mechatronic Eng   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

PSEUDOSPECTRAL METHODS; RECEDING HORIZON CONTROL;

CONTROL SYSTEMS;

EID: 1842502627     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.5118     Document Type: Article

References (16)

1. Lu, P., "Regulation About Time-Varying Trajectories: Precision Entry Guidance Illustrated," Journal of Guidance, Control, and Dynamics, Vol. 22, No. 6, 1999, pp. 784-790.
2. Bryson, A. E., Dynamic Optimization, Addison-Wesley, Menlo Park, CA, 1999, pp. 315-318.
3. Ohtsuka, T., and Fujii, H. A., "Real-Time Optimization Algorithm for Nonlinear Receding-Horizon Control," Automatica, Vol. 33, No. 6, 1997, pp. 1147-1154.
4. Ohtsuka, T., "Time-Variant Receding Horizon Control of Nonlinear Systems," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, 1998, pp. 174-176.
5. Yan, H., Fahroo, F., and Ross, I. M., "Optimal Feedback Control Laws by Legendre Pseudospectral Approximations," Proceedings of the American Control Conference, IEEE Publications, Piscataway, NJ, 2001, pp. 2388-2393.
6. Yan, H., Fahroo, F., and Ross, I. M., "Real-Time Computation of Neighbouring Optimal Control Laws," AIAA Paper 2002-4657, Aug. 2002.
7. Fornberg, B., and Sloan, D.M., "A Review of Pseudospectral Methods for Solving Partial Differential Equations," Acta Numerica, Vol. 3, Aug. 1994, pp. 203-267.
8. Jaddu, H., "Direct Solution of Nonlinear Optimal Control Problems Using Quasilinearization and Chebyshev Polynomials," Journal of the Franklin Institute, Vol. 339, Nos. 4-5, 2002, pp. 479-498.
9. Xu, X., and Agrawal, S. K., "Finite-Time Optimal Control of Polynomial Systems Using Successive Suboptimal Approximations," Journal of Optimization Theory and Applications, Vol. 105, No. 2, 2000, pp. 477-489.
10. Bryson, A. E., and Ho, Y.-C., Applied Optimal Control, Ginn and Co., Waltham, MA, 1969, pp. 234-236.
11. Williams, P., "Jacobi Pseudospectral Method for Solving Optimal Control Problems," Journal of Guidance, Control, and Dynamics (to be published).
12. Peyret, R., Spectral Methods for Incompressible Viscous Flow, Springer-Verlag, New York, 2000, pp. 70-73.
13. Ross, I. M., and Fahroo, F., "Convergence of Pseudospectral Discretizations of Optimal Control Problems," Proceedings of the 40th IEEE Conference on Decision and Control, IEEE Publications, Piscataway, NJ. 2001, pp. 3175-3177.
14. Williams, P., Blanksby, C., and Trivailo, P., "The Use of Electromagnetic Lorentz Forces as a Tether Control Actuator," 53rd International Astronautical Congress, Paper IAC-02-A.5.04, Oct. 2002.
15. Gill, P. E., Murray, W., Saunders, M. A., and Wright, M. A., "User's Guide to NPSOL 5.0: A Fortran Package for Nonlinear Programming," TR SOL 86-1, Stanford Optimization Lab., Stanford Univ., Stanford, CA, July 1998.
16. Ross, I. M., and Fahroo, F., "Legendre Pseudospectral Approximations of Optimal Control Problems," Lecture Notes in Control and Information Sciences, Springer-Verlag (to be published).