Applications of numerical optimal control to nonlinear hybrid systems

Nonlinear Analysis: Hybrid Systems

Volumn 1, Issue 2, 2007, Pages 264-279

  Wei, Shangming ^a   Uthaichana, Kasemsak ^b   Žefran, Miloš ^a   DeCarlo, Raymond A ^b   Bengea, Sorin ^c  

^a University of Illinois at Chicago   (United States)

^b PURDUE UNIVERSITY   (United States)

^c EATON CORPORATION   (United States)

Author keywords

Hybrid systems; Model predictive control; Numerical optimization; Optimal control

Indexed keywords

EID: 36549052596     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2006.10.007     Document Type: Article

References (31)

1. Bengea S.C., and DeCarlo R.A. Optimal control of switching systems. Automatica. A Journal of IFAC 41 1 (2005) 11-27
2. DeCarlo R.A., Branicky M.S., Pettersson S., and Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE 88 7 (2000) 1069-1082
3. Alur R., Henzinger T., Lafferriere G., and Pappas G. Discrete abstractions of hybrid systems. Proceedings of the IEEE 88 7 (2000) 971-984
4. van der Schaft A.J., and Schumacher J.M. An Introduction to Hybrid Dynamical Systems. Lecture Notes in Control and Information Sciences vol. 251 (1999), Springer Verlag
5. Liberzon D. Switching in Systems and Control (2003), Birkhäuser, Boston, MA
6. Branicky M.S., Borkar V.S., and Mitter S.K. A unified framework for hybrid control: Model and optimal control theory. IEEE Transactions on Automatic Control 43 1 (1998) 31-45
7. Cassandras C.G., Pepyne D.L., and Wardi Y. Optimal control of a class of hybrid systems. IEEE Transactions on Automatic Control 46 3 (2001) 398-415
8. Miller B.M., and Rubinovich E.Y. Impulsive Control in Continuous and Discrete-Continuous Systems (2003), Kluwer Academic/Plenum Publishers, New York
9. H.J. Sussmann, A maximum principle for hybrid optimal control problems, in: IEEE Conf. on Decision and Control, Phoenix, AZ, USA, 1999, pp. 425-430
10. Hedlund S., and Rantzer A. Optimal control of hybrid systems. IEEE Conf. on Decision and Control. Proceedings of the IEEE Conference on Decision and Control vol. 4 (1999), IEEE, Piscataway, NJ, USA 3972-3977 Phoenix, AZ, USA
11. Bemporad A., and Morari M. Control of systems integrating logic, dynamics, and constraints. Automatica 35 3 (1999) 407-427
12. X. Xu, P.J. Antsaklis, A dynamic programming approach for optimal control of switched systems, in: IEEE Conf. on Decision and Control, Sydney, NSW, 2000, pp. 1822-1827
13. Xu X., and Antsaklis P.J. Results and perspectives on computational methods for optimal control of switched systems. Proc. Hybrid Systems: Computation and Control. HSCC 2003. Lecture Notes in Computer Science vol. 2623 (2003), Springer-Verlag, Prague, Czech Republic 540-556
14. M. Z ̌efran, J. Desai, V. Kumar, Continuous motion plans for robotic systems with changing dynamic behavior, in: Proceedings of 2nd Int. Workshop on Algorithmic Foundations of Robotics, 1996
15. A. Giua, C. Seatzu, C. Van Der Mee, Optimal control of switched autonomous linear systems, in: IEEE Conf. on Decision and Control, vol. 3, Orlando, FL, 2001, pp. 2472-2477
16. Capuzzo-Dolcetta I., and Evans L.C. Optimal switching for ordinary differential equations. SIAM Journal of Control and Optimization 22 1 (1984) 143-161
17. P. Riedinger, C. Zanne, F. Kratz, Time optimal control of hybrid systems, in: American Control Conference, San Diego, CA, 1999, pp. 2466-2470
18. Camacho E.F., and Bordons C. Model Predictive Control (2004), Springer Verlag
19. Filippov A.F. Differential equations with discontinuous right-hand sides. American Mathematical Society Translations, Series 2 42 (1964) 199-231
20. In: Antsaklis P., Kohn W., Nerode A., and Sastry S.S. (Eds). Hybrid Systems IV. Lecture Notes in Computer Science vol. 1273 (1997), Springer Verlag, New York, NY
21. In: Vaandrager F.W., and van Schuppen J.H. (Eds). Hybrid Systems: Computation and Control. Lecture Notes in Computer Science vol. 1596 (1999), Springer Verlag, New York, NY
22. In: Antsaklis P., and Nerode A. (Eds). Hybrid Systems. IEEE Transactions on Automatic Control 43 (1998) (special issue)
23. In: Morse A., Pantelides C., Sastry S., and Schumacher J. (Eds). Hybrid Systems. Automatica 35 (2000) (special issue)
24. In: Antsaklis P. (Ed). Hybrid Systems. Proceedings of the IEEE 88 (2000) (special issue)
25. Imura J., and van der Schaft A. Characterization of well-posedness of piecewise- linear systems. IEEE Transactions on Automatic Control 45 9 (2000) 1600-1619
26. Johansson J.L.K., Simic S., Zhang J., and Sastry S. Dynamical properties of hybrid automata. IEEE Transactions on Automatic Control 48 1 (2003) 2-17
27. P. Riedinger, F. Kratz, C. Iung, C. Zanne, Linear quadratic optimization for hybrid systems, in: IEEE Conf. on Decision and Control, Phoenix, AZ, 1999, pp. 3059-3064
28. Berkovitz L.D. Optimal Control Theory (1974), Springer Verlag, New York, NY
29. Cervantes A.M., and Biegler L.T. Optimization strategies for dynamic systems. In: Floudas C., and Pardalos P. (Eds). Encyclopedia of Optimization (2001), Kluwer 216-227
30. von Stryk O., and Bulirsch R. Direct and indirect methods for trajectory optimization. Nonlinear methods in Economic Dynamics and Optimal Control, Vienna, 1990. Annals of Operational Research 37 1-4 (1992) 357-373
31. von Stryk O. Numerical solution of optimal control problems by direct collocation. Optimal Control (Freiburg, 1991). Internat. Ser. Numer. Math. vol. 111 (1993), Birkhäuser, Basel 129-143