Unknown input observers for switched nonlinear discrete time descriptor systems

IEEE Transactions on Automatic Control

Volumn 53, Issue 1, 2008, Pages 373-379

  Koenig, D ^a   Marx, B ^b   Jacquet, D ^a  

^a GIPSA LAB   (France)

^b CNRS   (France)

Author keywords

Hybrid systems; Polyquadratlc stability; Switched descriptor systems; Unknown input (UI) observers

Indexed keywords

DISCRETE-TIME; GLOBAL CONVERGENCE; LINEAR MATRIX INEQUALITY TECHNIQUES; NONLINEAR DISCRETE-TIME; NUMERICAL EXAMPLE; POLYQUADRATLC STABILITY; SUFFICIENT CONDITIONS; SWITCHED DESCRIPTOR SYSTEMS; UNKNOWN INPUT OBSERVER; UNKNOWN INPUTS;

DESCRIBING FUNCTIONS; ELECTRIC GROUNDING; HYBRID COMPUTERS; HYBRID SYSTEMS; LINEAR MATRIX INEQUALITIES; OBSERVABILITY; STATE ESTIMATION;

SYSTEM STABILITY;

EID: 65949091343     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.914226     Document Type: Article

References (32)

1. C. Aboki, G. Sallet, and J.-C. Vivalda, "Obsevers for Lipschitz nonlinear systems," Int. J. Control, vol. 75, no. 3, pp. 204-212, 2002.
2. J. Agrawal, K. M. Moudgalya, and A. K. Pani, "Sliding motion of discontinuous dynamical systems described by differential algebraic equations," in Proc. IFAC Safeprocess, Washington, DC, 2003, pp. 795-800.
3. G. Besançon and H. Hammouri, "On uniform observation of nonuniformaly observable systems," Syst. Control Lett., vol. 29, pp. 9-19, 1996.
4. G. Böker and J. Lunze, "Stability and performance of swiching Kalman filters," Int. J. Control, vol. 75, no. 16/17, pp. 1269-1281, 2002.
5. Y. M. Cho and R. Rajamani, "A systematic approach to adaptive observer synthesis for NL systems," IEEE Trans. Autom. Control, vol. 42, no. 4, pp. 534-537, Apr. 1997.
6. D. Chu and V. Mehrmann, "Dirturbance decoupled observer design for descriptor systems," Syst. Control Lett., vol. 38, pp. 37-48, 1999.
7. J. Daafouz, P. Riedinger, and C. lung, "Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach," IEEE Trans. Autom. Control, vol. AC-47, no. 11, pp. 1883-1887, Nov. 2002.
8. M. Darouach, M. Zasadzinski, and D. Mehdi, "State estimation of stochastic singular linear systems," Int. J. Syst. Sci., vol. 2, no. 2, pp. 345-354, 1993.
9. M. Darouach, M. Zasadzinski, and S. J. Xu, "Full-order observers for linear systems with unknown inputs," IEEE Trans. Autom. Control, vol. 39, no. 3, pp. 606-609, Mar. 1994.
10. M. Darouach, M. Zasadzinski, and M. Hayar, "Reduced-order observer design for descriptor systems with unknown inputs," IEEE Trans. Autom. Control, vol. 41, no. 7, pp. 1068-1072, Jul. 1996.
11. M. Darouach, M. Zasadzinski, and M. Boutayeb, "Extension of minimum variance estimation for systems with unknown inputs," Automatica, vol. 39, pp. 867-876, 2003.
12. D. M. Dawson, "On the state observation and output feedback problems for nonlinear uncertain dynamic systems," Syst. Control Lett., vol. 18, pp. 217-222, 1992.
13. A. J. Kerner and A. Isodori, "Linearization by output injection and nonlinear observers," Syst. Control Lett., vol. 3, pp. 47-52, 1983.
14. A. J. Kerner and W. Respondek, "Nonlinear observers with linearizable error dynamics," SIAM J. Control Optim., vol. 23, no. 2, pp. 197-216, 1985.
15. H. K. Khalil and F. Esfandiari, "Semiglobal stabilization of a class of nonlinear systems using output feedback," IEEE Trans. Autom. Control, vol. 38, no. 9, pp. 1412-1415, Sep. 1993.
16. D. Koenig, "Unknown input proportional multiple-integral observer design for linear descriptor systems: Application to state and fault estimation," IEEE Trans. Autom Control, vol. 50, no. 2, pp. 212-217, Feb. 2005.
17. D. Koenig, "Observer design for unknown input nonlinear descriptor systems via convex optimization," IEEE Trans. Autom. Control, vol. 51, no. 6, pp. 1047-1052, Jun. 2006.
18. D. Lieberzon and A. S. Morse, "Basic problems in stability and design of switching system," IEEE Control Syst Mag., vol. 19, no. 5, pp. 59-70, Oct. 1999.
19. R. Marino, "Adaptive observers for single-output nonlinear systems," IEEE Trans. Autom. Control, vol. 35, no. 9, pp. 1054-1058, Sep. 1990.
20. G. Millerioux and J. Daafouz, "Unknown input observers for switched linear discrete time systems," in Proc. Amer. Control Conf., Jun. 2004, pp. 5802-5805.
21. R. J. Patton, R. N. Clark, and P. M. Frank, Fault Diagnosis in Dynamic Systems. Englewood Cliffs, NJ: Prentice-Hall, 1989.
22. L. Praly and Z. P. Jiang, "Stabilization by output feedback for systems with ISS inverse dynamics," Syst. Control Lett., vol. 21, pp. 19-33, 1993.
23. S. Raghavan and J. K. Hedrick, "Observer design for a class of nonlinear systems," Int. J. Control, vol. 59, no. 2, pp. 515-528, 1994.
24. R. Rajamani, "Observers for Lipschitz nonlinear systems," IEEE Trans. Autom. Control, vol. 43, no. 3, pp. 397-401, Mar. 1998.
25. C. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and its Applications. New York: Wiley, 1971.
26. Z. Sun and S. S. Ge, "Analysis and synthesis of switched linear control systems," Automatica, vol. 41, pp. 181-195, 2005.
27. Y. G. Sun, L. Wang, and G. Xie, "Delay-dependent robust stability and stabilization for discrete-time switched with mode-dependent time-varying delays," Appl. Math. Comput, vol. 180, no. 2, pp. 428-435, 2006.
28. A. Teel and L. Praly, "Global stabilizability and observability imply semiglobal stabilizability by output feedback," Syst. Control Lett., vol. 22, pp. 313-325, 1994.
29. M. E. Valcher, "State observers for discrete-time linear systems with unknown inputs," IEEE Trans. Autom. Control, vol. 44, no. 2, pp. 397-401, Feb. 1999.
30. X. H. Xiao and W. Gao, "Nonlinear observer design by observer error linearization," SIAM J. Control Optim., vol. 27, no. 1, pp. 199-216, Jan. 1989.
31. G. Xie and L. Wang, "Quadratic stability and stabilization of discrete-time systems with state delay," in Proc. Conf. Decision Control, Bahamas, Dec. 2004, pp. 3235-3240.
32. F. Zhu and Z. Han, "A note on observers for Lipschitz nonlinear systems," IEEE Trans. Autom. Control, vol. 47, no. 10, pp. 1751-1754, Oct. 2002.