On stabilization of switched nonlinear systems with unstable modes

Systems and Control Letters

Volumn 58, Issue 10-11, 2009, Pages 703-708

  Yang, Hao ^a,b   Cocquempot, Vincent ^b   Jiang, Bin ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^b UNIV LILLE   (France)

Author keywords

Stability; Stabilization; Switched systems; Unstable modes

Indexed keywords

CONSTANT RATIO; CONTINUOUS MODE; INITIAL STATE; SWITCHED NON-LINEAR SYSTEMS; SWITCHED SYSTEMS; SWITCHING INSTANTS; SWITCHING LAW; SWITCHING SEQUENCE; UNSTABLE MODES;

NONLINEAR SYSTEMS; SWITCHING SYSTEMS; SYSTEM STABILITY;

STABILIZATION;

EID: 70349473054     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2009.06.007     Document Type: Article

References (26)

1. Liberzon D. Switching in Systems and Control (2003), Birkhauser, Boston, MA
2. Branicky M.S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 43 1 (1998) 475-482
3. Ye H., Michel A.N., and Hou L. Stability theory for hybrid dynamical systems. IEEE Transactions on Automatic Control 43 4 (1998) 461-474
4. EI-Farra N.H., Mhaskar P., and Christofides P.D. Output feedback control of switched nonlinear systems using multiple lyapunov functions. System and Control Letters 54 12 (2005) 1163-1182
5. Mhaskar P., El-Farra N.H., and Christofides P.D. Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Transactions on Automatic Control 50 11 (2005) 1670-1680
6. Mhaskar P., El-Farra N.H., and Christofides P.D. Robust predictive control of hybrid systems: satisfying uncertain schedules subject to state and control constraints. International Journal of Adaptive Control and Signal Processing 22 (2008) 161-179
7. ∞ control for switched systems. Automatica 44 5 (2008) 1220-1232
8. Zhao J., and Hill D.J. Dissipativity theory for switched systems. IEEE Transactions on Automatic Control 36 11 (2008) 1228-1240
9. Zhao J., and Hill D.J. Passivity and stability of switched systems: A multiple storage function method. System and Control Letters 57 2 (2008) 158-164
10. Xie W.X., Wen C.Y., and Li Z.G. Input-to-state stabilization of switched nonlinear systems. IEEE Transactions on Automatic Control 46 7 (2001) 1111-1116
11. Colaneri P., Geromel J.C., and Astolfi A. Stabilization of continuous-time switched nonlinear systems. System and Control Letters 57 1 (2008) 95-103
12. J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell time. in: Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, USA, 1999, pp. 2655-2660
13. Hespanha J.P. Stabilization through hybrid control. Control Systems, Robotics, and Automation. Encyclopedia of Life Support Systems (EOLSS) (2004)
14. Vu L., Chatterjee D., and Liberzon D. Input-to-state stability of switched systems and switching adaptive control. Automatica 43 4 (2007) 639-646
15. D.V. Efimov, E. Panteley, A. Loria, On input-to-output stability of switched nonlinear systems. in: Proceedings of the 17th IFAC World congress, Seoul, Korea, 2008, pp. 3647-3652
16. Xu X., and Zhai G. Practical stability and stabilization of hybrid and switched systems. IEEE Transactions on Automatic Control 50 11 (2005) 1897-1903
17. Sun Z. A note on marginal stability of switched systems. IEEE Transactions on Automatic Control 53 2 (2008) 625-631
18. Jiang B., Staroswiecki M., and Cocquempot V. Fault accommodation for nonlinear dynamic systems. IEEE Transactions on Automatic Control 51 9 (2006) 1578-1583
19. Yang H., Jiang B., and Cocquempot V. A fault tolerant control framework for periodic switched nonlinear systems. International Journal of Control 82 1 (2009) 117-129
20. H. Yang, B. Jiang, Cocquempot, Observer based fault tolerant control for a class of hybrid impulsive systems, in: International Journal of Robust and Nonlinear Control, 2009 (in press)
21. Zhai G., Hu B., Yasuda K., and Michel A.N. Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. International Journal of System Science 32 8 (2001) 1055-1061
22. Feng W., and Zhang J.F. Stability analysis and stabilization control of multi-variable switched stochastic systems. Automatica 42 1 (2006) 169-176
23. D. Munoz de la Pena, P.D. Christofides, Stability of nonlinear asynchronous systems, in: Proceedings of 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007, pp. 4576-4583
24. Xu X., and Antsaklis P. Stabilization of second-order LTI switched system. International Journal of Control 73 14 (2000) 1261-1279
25. C. Yfoulis, R. Shorten, A computational technique characterizing the asymptotic stabilizability of planar linear switched systems with unstable modes, in: Proceedings of 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, 2004, pp. 2792-2797
26. Bhat S., and Bernstein D. Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization 38 3 (2000) 751-766