A note on optimal control of autonomous switched systems on a finite time interval

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 5947-5952

  Spinelli, William ^a   Bolzern, Paolo ^a   Colaneri, Patrizio ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; HAMILTONIANS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; STATE SPACE METHODS; SWITCHING SYSTEMS;

AUTONOMOUS SWITCHED SYSTEMS; FINITE TIME INTERVAL; OPTIMAL SWITCHING;

OPTIMAL CONTROL SYSTEMS;

EID: 34047233062     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1657674     Document Type: Conference Paper

References (18)

1. M. Branicky, V. Borkar, and S. Mitter, "A unified framework for hybrid control: model and optimal control theory," IEEE Trans. Automat. Contr., vol. 43, no. 1, pp. 31-45, 1998.
2. C. Cassandras, D. Pepyne, and Y. Wardi, "Optimal control of a class of hybrid systems," IEEE Trans. Automat. Contr., vol. 46, no. 3, pp. 398-415, 2001.
3. S. Hedlund and A. Rantzer, "Convex dynamic programming for hybrid systems," IEEE Trans. Automat. Contr., vol. 47, no. 9, pp. 1536-1540, 2002.
4. X. Xu and P. Antsaklis, "Optimal control of switched systems based on parameterization of the switching instants," IEEE Trans. Automat. Contr., vol. 49, no. 1, pp. 2-16, 2004.
5. I. Capuzzo Dolcetta and L. Evans, "Optimal switching for ordinary differential equations," SIAM J. Control Optimization, vol. 22, no. 1, pp. 143-161, 1984.
6. th IEEE CDC, Phoenix, USA, 1999, pp. 425-430.
7. th IEEE CDC, 1999, pp. 410-415.
8. P. Riedinger, C. lung, and F. Kratz, "An optimal control approach for hybrid systems," European J. of Contr., vol. 49, no. 5, pp. 449-458, 2003.
9. S. Bengea and R. DeCarlo, "Optimal control of switching system," Automatica, vol. 41, no. 2, pp. 11-27, 2005.
10. th IEEE CDC, 1999, pp. 5295-5300.
11. th IEEE CDC, 2002, pp. 4401-4406.
12. A. Giua, C. Seatzu, and C. V. D. Mee, "Optimal control of autonomous linear systems switched with a preassigned finite sequence," in Proc. of the ISIC 2001, 2001, pp. 144-149.
13. A. Betnporad, D. Corona, A. Giua, and C. Seatzu, "Optimal state-feedback quadratic regulation of linear hybrid automata," in Proc. of the IFAC ADHS 2003, 2003, pp. 407-412.
14. D. Corona, "Optimal control of linear affine hybrid automata," Ph.D. dissertation, Università degli Studi di Cagliari, 2005.
15. A. Locatelli, Optimal Control, An Introduction. Basel: Birkäuser, 2001.
16. M. Athans and P. Falb, Optimal Control: An Introduction to the Theory and its Applications. New York: McGraw-Hill, 1966.
17. J. Hale, Ordinary Differential Equations. New York: Wiley-Interscience, 1954.
18. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing. New York: Cambridge Univ. Press, 1992.