Stabilization of switched systems subject to actuator saturation by output feedback

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 777-782

  Benzaouia, A ^a   Akhrif, O ^c   Saydy, L ^b  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^c Electrical Engineering Department   (Canada)

Author keywords

Constrained control; Saturation; Stability; Switching systems

Indexed keywords

ACTUATORS; ASYMPTOTIC STABILITY; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STABILIZATION;

ACTUATOR SATURATIONS; CONSTRAINED CONTROL; OUTPUT FEEDBACK;

SWITCHING SYSTEMS;

EID: 39749201535     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376814     Document Type: Conference Paper

References (22)

1. Benzaouia, A. and Baddou, A. Piecwise linear constrained control for continuous time systems. IEEE Trans. Aut. Control, Vol.44 no 7pp. 1477, 1999.
2. Benzaouia, A., Baddou, A. and Elfaiz, S. Piecewise linear constrained control for continuous-time systems: The maximal admissible domain. 15 thWorld Congress IFAC, Barcelonna, 2002.
3. Benzaouia, A., Burgat, C. Regulator problem for linear discrete-time systems with non-symmetrical constrained control. Int.J.Control. Vol.48. No 6, pp.2441 - 2451, 1988.
4. Benzaouia, A., Hmamed, A. Regulator Problem for Linear Continuous Systems with Nonsymmetrical Constrained Control. IEEE Trans. Aut. Control, Vol. 38, No 10, pp. 1556 - 1560, 1993.
5. Benzaouia, A., Saydy, L. and Akhrif, O. "Stability and control synthesis of switched systems subject to actuator saturation". American Control Conference, June 30- July 2, Boston, 2004.
6. Blanchini, F. Set invariance in control - a survey", Automatica, Vol 35, no. 11, pp. 1747-1768, Nov. 1999.
7. Boukas, E. L., Benzaouia, A. Stability of discrete-time linear systems with Markovian jumping parameters and constrained Control. IEEE Trans. Aut. Control. Vol. 47, No3, pp.516 - 520, 2002.
8. M. S. Branicky ," Multiple Lyapunov functions and other analysis tools for switched and hybrid systems", IEEE, Automat, Contr.,vol, 43, pp. 475-482, 1998.
9. Cao, Y. Y. and Lin, Z. Stability analysis of discrete-time systems with actuator saturation by saturation dependent Lyapunov function. Proceeding of the 41st IEEE Conference on Decision and Control, Las Vegas, USA, 2002.
10. Chadli, M, Maquin, D. and Ragot, J. An LMI formulation for output stabilizatio in multiple model approach. Proceeding of the 41st IEEE Conference on Decision and Control, Las Vegas, USA, 2002.
11. Daafouz, J, Riedinger, P. and lung, C. Static output feedback control for switched systems. Proceeding of the 40st IEEE Conference on Decision and Control, Orlando, USA, 2001.
12. Daafouz, J., Riedinger, P. and lung, C. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Aut. Control, Vol. 47, No 11, pp. 1883 - 11887, 2002.
13. Elghaoui, L., Oustry, F. and AitRami, M. A cone complementary linearisation algorithm for static output feedback and related problems. IEEE Trans. Aut. Control, Vol. 42, No 8, pp. 1171 - 1176, 1997.
14. G. Ferrai-Trecate, F. A. Cuzzola, D. Mignone and M. Morari. Analysis and control with performanc of piecewise affine and hybrid systems. Proceeding of the American Control Conference, Arlington, USA, 2001.
15. Gilbert, E. G and Tan, K. T. Linear systems with state and control constraints:the theory and application of maximal output admissible sets. IEEE Trans. Aut. Control, Vol.36, pp. 1008 - 1020, 1991.
16. H. Hindi and S. Boyd, "Analysis of linear systems with saturating using convex optimisation". Proc. 37th IEEE Conf. Decision Control, Florida, pp. 903-908,(1998).
17. Hu, T., and Lin, Z. The equivalence of several set invariance conditions under saturations. Proceeding of the 41st IEEE Conference on Decision and Control, Las Vegas, USA, 2002.
18. Hu, T., Lin, Z. and Chen, B. M. Analysis and design for discrete-time linear systems subject to actuator saturation. Systems and Control Letters, Vol.45, pp.97-112, 2002.
19. Hu, T., Lin, Z. and Chen, B. M. An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica, Vol.38, pp.351-359, 2002.
20. Liberzon, D. and Morse, A. S. Basic problems in stability and design of switched systems. IEEE Control Systems Magasine, Vol.19, No5, pp.59 -70, 1999.
21. Mignone, D., Ferrari-Trecate, G. and Morari, M. Stability and stabilization of Piecwise affine and hybrid systems: an LMI approach. Proceeding of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000.
22. Zhu, G., Akhrif, O. and Hentabli, K. Robustness augmentation of fixed structure flight control systems via μ, Proceeding of the AIAA Conference on Guidance, Navigation and Control, August 1417, Denver, 2000.