Switched output feedback stabilization of discrete-time switched systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 2667-2672

  Bara, G Iulia ^a   Boutayeb, Mohamed ^a  

^a UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Linear matrix inequalities; Switched discrete time systems; Switched Lyapunov function; Switched output feedback stabilization

Indexed keywords

CLOSED LOOP SYSTEMS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; STABILIZATION;

SWITCHED DISCRETE-TIME SYSTEMS; SWITCHED LYAPUNOV FUNCTIONS; SWITCHED OUTPUT FEEDBACK STABILIZATION;

DISCRETE TIME CONTROL SYSTEMS;

EID: 39649115595     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376892     Document Type: Conference Paper

References (25)

1. L. Y. Wang, A. Beydoun, J. Cook, J. Sun, and I. Kolmanovsky, "Optimal hybrid control with applications to automotive powertrain systems," in Control Using Logic-Based Switching: Springer-Verlag, vol. LNCIS 222, 1997, pp. 190-200.
2. B. Lu, F. Wu, and S. W. Kim, "Switching LPV control of a high performance tactical aircraft," in Proc. AIAA Conference on Guidance, Navigation and Control, August 2004, pp. AIAA Paper No. 2004-4999.
3. C. Tomlin, G. Pappas, and S. Sastry, "Conflict resolution for air traffic management: a study in multiagent hybrid systems," IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 509-521, 1998.
4. P Peleties and R. DeCarlo, "Asymptotic stability of m-switched systems using Lyapunov-like functions," in Proceeding of the 1991 American Control Conference, Boston, USA, June 1991, pp. 1679-1684.
5. H. Ishii and B. Francis, "Stabilizing a linear system by switching control with dwell-time," IEEE Transactions on Automatic Control, vol. 47, no. 12, pp. 1962-1973, 2002.
6. D. Liberzon and A. S. Morse, "Basic Problems in stability and design of switched systems," IEEE Control Systems Magazine, vol. 19, no. 5, pp. 59-70, 1999.
7. M. S. Brainicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 475-482, 1998.
8. E. Skafidas, R. J. Evans, A. V Savkin, and I. R. Petersen, "Stability results for switched controller systems," Automatica, vol. 35, no. 4, pp. 553-564, 1999.
9. G. I. Bara, J. Daafouz, F Kratz, and C. lung, "State estimation for a class of hybrid systems," in Proceedings of the 4th International Conference in Automation of Mixed Processes: Hybrid Dynamic Systems, Dortmund, Germany, 18-19 September 2000.
10. S. S. Ge, Z. Sun, and T. H. Lee, "Reachability and controllability of switched linear discrete-time systems," IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1437-1441, 2001.
11. J. Daafouz, R Riedinger, and C. lung, "Stability Analysis and control synthesis for switched systems: a switched Lyapunov function approach," IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1883-1887, 2002.
12. G. Michaletzky and L. Gerencser, "BIBO stability of linear switching systems," IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1895-1898, 2002.
13. R. DeCarlo, M. Branicky, S. Pettersson, and B. Lennartson, "Perspectives and results on the stability and stabilizability of hybrid systems," Proceedings of IEEE, Special Issue on Hybrid Systems, pp. 1069-1082, July 2000.
14. D. Liberzon, Switching in Systems and Control. Birkhauser, Boston, MA, Volume in series Systems and Control: Foundations and Applications, 2003.
15. D. Mignone, G. Ferrari-Trecate, and M. Morari, "Stability and stabilization of piecewise affine and hybrid systems: An LMI approach," in Proceedings of the 39th IEEE Conference on Decision and Control Sydney, Australia, December 2000.
16. ∞ analysis and control of discrete-time piecewise affine systems," vol. 75, no. 16/17, pp. 1293-1301, 2002.
17. V F. Montagner, V J. S. Leite, and P L. D. Peres, "Discrete-time switched systems: pole location and structural constrained control," in Proceedings of the 42nd IEEE Conference on Decision and Control Maui, Hawaii, USA, December 2003.
18. D. Xie, L. Wang, F. Hao, and G. Xie, "Robust stability analysis and control synthesis for discrete-time uncertain switched systems," in 2004 IEEE International Symposium on Computer Aided Control Systems Design, Taipei, Taiwan, September 2004.
19. Z. Sun and S. S. Ge, "Dynamic output feedback stabilization of a class of switched linear systems," IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 50, no. 8, pp. 1111-1115, 2003.
20. J. Daafouz and J. Bernussou, "Robust dynamic output feedback control for switched systems," in Proceedings of the 41st IEEE Conference on Decision and Control Las Vegas, Nevada, USA, December 2002, pp. 4389-394.
21. M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Transactions on Automatic Control, vol. 43, no. 4, pp. 555-559, 1998.
22. M. Johansson, Piecewise linear control systems. PhD dissertation, Lund Institute of Technologie, Lund, Sweden, 1999.
23. O. Toker and H. Osbay, "On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback," June 1995, pp. 2525-2526.
24. M. Lazar, M. Heemels, S. Weiland, and A. Bemporad, "Stabilizing receding horizon control of piecewise linear systems: An LMI approach," in Proceedings of the 16th Int. Symp. Mathematical Theory of Networks and Systems, Leuven, Belgium, 2004.
25. I. N. Kar, "Design of static output feedback controller for uncertain systems," Automática, vol. 35, pp. 169-175, 1999.