Transformation of optimal control problems with a state constraint avoiding interior boundary conditions

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 913-920

  Graichen, Knut ^a   Petit, Nicolas ^b   Kugi, Andreas ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINED OPTIMIZATION; OPTIMAL CONTROL SYSTEMS;

BOUNDED TRAJECTORIES; CONSTRAINED OPTIMAL CONTROL; INTERIOR BOUNDARY CONDITION; OPTIMAL CONTROL PROBLEM; OPTIMAL SOLUTIONS; REGULARIZATION TERMS; SATURATION FUNCTION; SATURATION FUNCTION METHOD;

BOUNDARY CONDITIONS;

EID: 62949106284     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739035     Document Type: Conference Paper

References (21)

1. C. Hargraves and S. Paris, "Direct trajectory optimization using nonlinear programming and collocation", J. Guid. Contr. Dyn., vol. 10, pp. 338-342, 1987.
2. H. Seywald, "Trajectory optimization based on differential inclusion", J. Guid. Contr. Dyn., vol. 17, no. 3, pp. 480-487, 1994.
3. S.K. Agrawal and N. Faiz, "Optimization of nonlinear dynamic systems: new efficient method without Lagrange multipliers", J. Optim. Appl., vol. 97, pp. 11-28, 1998.
4. J. Betts, "Survey of numerical methods for trajectory optimization", J. Guid. Contr. Dyn., vol. 21, pp. 193-207, 1998.
5. J. Nocedal and S. Wright, Numerical Optimization. Springer, New York, 1999.
6. J. Betts, Practical Methods for Optimal Control Using Nonlinear Programming. SIAM, Philadelphia, PA, 2001.
7. R. Bhattacharya, "OPTRAGEN: a Matlab toolbox for optimal trajectory generation", Proc. 45th IEEE Conf. Dec. Contr. (CDC), pp. 6832-6836, San Diego, CA, 2006.
8. A. Bryson and Y.-C. Ho, Applied Optimal Control. Ginn & Company, Waltham, Massachusetts, 1969.
9. H. Pesch, "A practical guide to the solution of real-life optimal control problems", Contr. Cybern., vol. 23, pp. 7-60, 1994.
10. H. Kreim, B. Kugelmann, H. Pesch, and M. Breitner, "Minimizing the maximum heating of a reentry space shuttle: an optimal control problem with multiple control constraints", Opt. Contr. Appl. Meth., vol. 17, pp. 45-69, 1996.
11. A. Bryson, Dynamic Optimization. Addison-Wesley, Menlo Park, CA, 1999.
12. B. Bonnard, L. Faubourg, G. Launay, and E. Trélat, "Optimal control with state constraints and the space shuttle re-rentry problem", J. Dyn. Contr. Syst., vol. 9, pp. 155-199, 2003.
13. L. Pontryagin, V. Boltyansky, V. Gamkrelidze, and E. Mischenko, Mathematical Theory of Optimal Processes. Wiley-Interscience, New York, 1962.
14. A. Isidori, Nonlinear Control Systems, 3rd ed. Springer, 1995.
15. H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems. Springer, 1996.
16. D.H. Jacobson, M.M. Lele, and J.L. Speyer, "New necessary conditions of optimality for control problems with state-variable inequality constraints", J. Math. Anal. Appl., vol. 35, pp. 255-284, 1971.
17. J.F. Bonnans and A. Hermant, "No-gap second-order optimality conditions for optimal control problems with a single state constraint and control", Math. Prog. Series B (accepted).
18. K. Graichen, N. Petit, "Incorporating constraints into the dynamics of optimal control problems" (submitted), 2008.
19. K. Graichen, N. Petit, "Constructive methods for initialization and handling mixed state-input constraints in optimal control", J. Guid. Contr. Dyn., scheduled for vol. 31(5), 2008.
20. A. Piazzi and A. Visioli, "Optimal noncausal set-point regulation of scalar systems", Automatica, vol. 37, pp. 121-127, 2001.
21. K. Graichen, V. Hagenmeyer, and M. Zeitz, "A new approach to inversion-based feedforward control design for nonlinear systems", Automatica, vol. 41, pp. 2033-2041, 2005.