Static output stabilisation of singular LPV systems: LMI formulation

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 4793-4796

  Chadli, M ^a   Darouach, M ^b   Daafouz, J ^b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FEEDBACK CONTROL; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

DISCRETE TIME; LMI-CONDITION; LPV SYSTEMS; SINGULAR SYSTEM; STATIC OUTPUT; STATIC OUTPUT CONTROLS; STATIC OUTPUT FEEDBACK CONTROLLERS; SYNTHESIS CONDITIONS;

LINEAR MATRIX INEQUALITIES;

EID: 62949129901     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739358     Document Type: Conference Paper

References (21)

1. L. Dai. Singular Control Systems, Springer, New York, 1989.
2. J. K. Mills, A. A. Goldenberg. Force and position control of manipulators during constrained motion tasks. IEEE Trans. Robot. Automat. 38, pp 30-46, 1989.
3. R. W. Newcomb, B. Dziurla. Some circuits and systems applications of semistate theory Circuits Systems Signal Process 8, pp. 235-260, 1989.
4. B. L. Stevens, F. L. Lewis. Aircraft Modeling, Dynamics and Control, Wiley, New York, 1991.
5. S. Boyd, El Ghaoui, L., Feron, E., and V. Balakrishnan. 'Linear matrix inequalities in systems and control theory'. SIAM, Philadelphia, PA, 1994.
6. A. K. Gelig, A. N. Churilov. Stability and Oscillations of Nonlinear Pulse-Modulated Systems, Birkhuser, Boston, 1998.
7. S. S. Ge, Z. Sun, T. H. Lee. On reachability and stabilization of switched linear discrete-time systems, IEEE Trans. Automat. Control 46 (9), pp. 1437-1441, 2001.
8. J. L. Mancilla-Aguilar. A condition for the stability of switched nonlinear systems. IEEE Trans. Automat. Control 45 (11), pp. 2077-2079, 2003.
9. I. Masubuchi, J. Kato., M. Saeki. and A. Ohara. Gain-Scheduled Controller Design Based on Descriptor Representation of LPV Systems: Application to Flight Vehicle Control. 43rd IEEE Conference on Decision and Control, Atlantis, Bahamas, Dec. 2004.
10. J. Yao, Z-H. Guan, G. Chenb, D. Hoc. Stability, robust stabilization and Hinf control of singular-impulsive systems via switching control. Systems and Control Letters 55(11). 2006.
11. J. Daafouz and J. Bernussou. Parameter dependent lyapunov functions for discrete time systems with time varying parametric uncertainties. Systems and Control Letters, vol. 43, pp. 355-359, 2001.
12. ∞ controllers. IEEE Transactions on Automatic Control 40(5), 1995.
13. D. Liberzon, Switching in Systems and Control, Birkhuser, Boston, 2003.
14. ∞ multi-channel linear parameter-varying control in discrete time. Systems and Control Letters, vol. 41, pp. 333-346, 2000.
15. J. Daafouz, Riedinger, P.; C. Iung. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Automat. Control 47(11), pp. 2093-2094, 2002.
16. M. Darouach, M. Boutayeb. Design of observers for descriptor systems. IEEE Transactions on Automatic Control 40(7), pp. 1323-1327, 1995.
17. M. Darouach. Solution to Sylvester equation associated to linear descriptor systems. Systems and Control Letters, 55 (10), pp. 835-838, 2006.
18. D. Peaucelle, D. Arzelier, O. Bachelier and J. Bernussou. A new robust stability condition for real convex polytopic uncertainty. Systems and Control Letters 40(1), 2000.
19. I. Masubuchi, T. Akiyama, M. Saeki. Synthesis of Output Feedback Gain-Scheduling Controllers Based on Descriptor LPV System Representation. Conference On Decision and Control Maui, Hawaii USA, Dec. 2003.
20. M. Chadli, J. Daafouz, M. Darouach. Stabilisation of Singular LPV Systems. 17th IFAC World congress, Seoul, Korea, July, 6-11, 2008.
21. J. Daafouz, P. Riedinger, C. Iung. Static output feedback control for switched systems. 40th IEEE Conference on Decision and Contro Vol. 3 pp. 2093-2094, 4-7 Dec. 2001.