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Authors
Yang, Hao; Cocquempot, Vincent; Jiang, Bin

Digital Object Identifier (DOI)
10.3182/20070613-3-FR-4909.00047

Page Numbers:
265-270

Index Terms
hybrid system,observers,state estimation,fault diagnosis

Abstract
State estimation and fault diagnosis problems are discussed for a class of hybrid nonlinear systems modelled by hybrid automata, which have uncontrollable discrete mode transitions and parametric uncertainties. Two kinds of faults are considered: Continuous faults that affect each mode; Discrete faults that affect the mode transition. To estimate both the continuous and discrete states, a novel observer is designed for each mode whose estimation error is not affected by continuous faults and sensitive to discrete mode transitions. Sufficient conditions are given to achieve the state estimation goal for the overall hybrid system.

References

[1] Balluchi, A., L. Benvenuti, M. D. Di. Benedetto
    and A. L. Sangiovanni-Vincentelli (2002). Design
    of observers for hybrid systems. Hybrid
    Systems: Computation and Control. LNCS
    2289, Springer Verlag, Berlin Heidelberg.
    pp. 76-89.
[2] Blanke, M., M. Kinnaert, J. Lunze and
    M. Staroswiecki (2003). Diagnosis and Fault-Tolerant
     Control. Springer Verlag Berlin. Heidelberg.
[3] Cocquempot, V., T. Mezyani and M. Staroswiecki
    (2004). Fault detection and isolation for hybrid
    systems using structured parity residuals.
    Proc. of 5th Asian Control Conference.
    Melbourne, Australia. pp. 1204 - 1212.
[4] Giua, A., C. Seatzu and F. Basile (2004).
    Observer-based state feedback control of
    timed petri nets with deadlock recovery.
    IEEE Trans. on Automatic Control
    49(1), 17-29.
[5] Guéguen, H. and J. Zaytoon (2004). On the formal
    verification of hybrid systems. Control Engineering
    Practice 12(10), 1253-1267.
[6] Jiang, B., M. Staroswiecki and V. Cocquempot
    (2006). Fault accommodation for a class of
    nonlinear dynamic systems. IEEE Trans. on
    Automatic Control 51(9), 1578-1583.
[7] Kajdan, R., G. Graton, D. Aubry and F. Kratz
    (2006). Fault detection of a nonlinear switching
    system using finite memory observers.
    Proc. of IFAC Safeprocess'06. Beijing, China.
    pp. 1051-1056.
[8] Krstic, M., I. Kanellakopoulos and P. Kokotovic
    (1995). Nonlinear and Adaptive Control Desig.
    Wiley. New York.
[9] Lee, S. and M. Park (2003). State observer
    for mimo nonlinear systems. IEE Proceedings:
    Control Theory and Applications
    150(4), 421-426.
[10] Lin, F. and W. M. Wonham (1988). On observability
     of discrete-event systems. Information
     Science 44, 173-198.
[11] Lygeros, J., K. H. Johansson, S. N. Simic,
     J. Zhang and S. Sastry (2003). Dynamical
     properties of hybrid automata. IEEE Trans.
     on Automatic Control 48(1), 2-17.
[12] Saadaoui, H., N. Manamanni, M. Djemaï, J. P.
     Barbot and T. Floquet (2006). Exact differentiation
     and sliding mode observers for
     switched lagrangian systems. Nonlinear Analysis
     65(5), 1050-1069.
[13] Shim, H., Y. I. Son and J. H. Seo (2001).
     Semi-global observer for multi-output non-linear
      systems. Systems and control letters
     42(3), 233-244.
[14] Yang, H., B. Jiang and V. Cocquempot (2007).
     Fault accommodation for hybrid systems
     with continuous and discrete faults. Hybrid
     Systems: Computation and Control. LNCS,
     4416, Springer-Verlag, Berlin Heidelberg.