Output feedback stabilization of uncertain saturated discrete-time switching systems

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 6, 2009, Pages 1735-1745

  Benzaouia, Abdellah ^a   Benmessaouda, Ouahiba ^a   Shi, Y A N ^b  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

^b TOKAI UNIVERSITY   (Japan)

Author keywords

Actuator saturations; Invariant sets; Lmi's; Lyapunov functions; Switching systems; Uncertain parameters

Indexed keywords

ACTUATOR SATURATIONS; DISCRETE-TIME; INVARIANT SETS; LMI'S; NUMERICAL EXAMPLE; OUTPUT FEEDBACK CONTROLS; OUTPUT FEEDBACK STABILIZATION; SUFFICIENT CONDITIONS; SWITCHING DISCRETE-TIME LINEAR SYSTEMS; UNCERTAIN PARAMETERS;

ACTUATORS; CONTINUOUS TIME SYSTEMS; DIFFERENTIAL EQUATIONS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; POWER CONTROL; SET THEORY; STABILIZATION; SWITCHING; SWITCHING FUNCTIONS; SWITCHING SYSTEMS; UNCERTAINTY ANALYSIS;

FEEDBACK;

EID: 67649392434     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. M. A. Rami, F. Mesquine and H. Ayyad, Enlarging ellipsoid invariant sets for constrained linear systems, International Journal of Innovative Computing, Information and Control, vol. 3, no. 5, pp. 1097-1108, 2007.
2. A. Benzaouia and C. Burgat, Regulator problem for linear discrete-time systems with nonsymmetrical constrained control, Int. J. Control, vol. 48, no. 6, pp. 2441-2451, 1988.
3. A. Benzaouia and A. Hmamed, Regulator problem for linear continuous systems with nonsymmetrical constrained control, IEEE Trans. Aut. Control, vol. 38, no. 10, pp. 1556-1560, 1993.
4. A. Benzaouia and A. Baddou, Piecewise linear constrained control for continuous time systems, IEEE Trans. Aut. Control, vol. 44, no. 7, pp. 1477, 1999.
5. A. Benzaouia, L. Saydy and O. Akhrif, Stability and control synthesis of switched systems subject to actuator saturation, American Control Conference, Boston, 2004.
6. A. Benzaouia, 0. Akhrif and L. Saydy, a) Stability and control synthesis of switched systems subject to actuator saturation by output feedback, Proc. of the 45th Conference on Decision and Control, San Diego, 2006. b) Stability and control synthesis of switching systems subject to actuator saturation, Int. J. Systems Sciences, to appear, 2009.
7. A. Benzaouia, EL Hajjaji and M. Naib, Stabilization of a class of constrained fuzzy systems: A positive invariance approach. International Journal of Innovative Computing, Information and Control, vol. 2, no. 4, pp. 749-760, 2006.
8. A. Benzaouia, F. Tadeo and F. Mesquine, The regulator problem for linear systems with saturations on the control and its increments or rate: An LMI approach, IEEE Transactions on Circuit and Systems Part I, vol. 53, no. 12, pp. 2681-2691, 2006.
9. A. Benzaouia, E. DeSantis, P. Caravani and N. Daraoui, Constrained control of switching systems: A positive invariance approach, Int. J. of Control, vol. 80, no. 9, pp. 1379-1387, 2007.
10. F. Blanchini, Set invariance in control - A survey, Automatica, vol. 35, no. 11, pp. 1747-1768, 1999.
11. F. Blanchini and C. Savorgnan, Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions, Proc. of the 45th Conference on Decision and Control, San Diego, pp. 119-124, 2006.
12. E. L. Boukas, A. Benzaouia, Stability of discrete-time linear systems with Markovian jumping parameters and constrained Control, IEEE Trans. Aut. Control, vol. 47, no. 3, pp. 516-520, 2002.
13. S. P. Boyd, E. L. Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM, Philadelphia, PA, 1994.
14. M. S. Branicky, Multiple lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Aut. Control., vol. 43, pp. 475-482, 1998.
15. Y. Y. Cao and Z. Lin, Stability analysis of discrete-time systems with actuator saturation by saturation dependent Lyapunov function, IEEE Trans. Fuzzy Systems, vol. 11, no. 1, pp. 57-67, 2003.
16. J. Daafouz, P. Riedinger and C. Iung. 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.
17. E. G. Gilbert and K. T. Tan, Linear systems with state and control constraints: The theory and application of maximal output admissible sets, IEEE Trans. Aut. Control, vol. 36, no. 11, pp. 1008-1020, 1991.
18. N. Kamil, A. Bouhafid and A. Benzaouia, Control of a hydrogen reformer with output feedback: An LMI approach, International Journal of Innovative Computing, Information and Control, vol. 4, no. 4, pp. 785-792, 2008.
19. D. Liberzon and A. S Morse, Basic problems in stability and design of switched systems, IEEE Control Systems Magasine, vol. 19, no. 5, pp. 59-70, 1999.
20. T. Hu, Z. Lin and B. M. Chen, Analysis and design for discrete-time linear systems subject to actuator saturation, Systems and Control Letters, vol. 45, pp. 97-112, 2002.
21. T. Hu, Z. Lin and B. M. Chen, An analysis and design method for linear systems subject to actuator saturation and disturbance, Automatica, vol. 38, pp. 351-359, 2002.
22. D. Mignone, G. Ferrari-Trecate and M. Morari, Stability and stabilization of Piecwise affine and hybrid systems: An LMI approach, Proc. of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000.
23. G. Zhu, O. Akhrif and K. Hentabli, Robustness augmentation of fixed structure flight control systems via μ Proc. of the AIAA Conference on Guidance, Navigation and Control, Denver, 2000.
24. D. Xie, L. Wang, F. Hao, G. Xie, Robust stability analysis and control synthesis for discret-time uncertain switched systems, Conference on Decision and Control, Hawaii, USA, 2003.
25. J. Yu, G. Xie and L. Wang, Robust Stabilization of discrete-time switched uncertain systems subject to actuator saturation, American Control Conference, New York, 2007.