论文信息 - ROBUST FAULT DETECTION WITH UNKNOWN INPUT SET-MEMBERSHIP STATE ESTIMATORS AND INTERVAL MODELS USING ZONOTOPES

ROBUST FAULT DETECTION WITH UNKNOWN INPUT SET-MEMBERSHIP STATE ESTIMATORS AND INTERVAL MODELS USING ZONOTOPES

Abstract In this paper, the problem of robust fault detection using observers with noise, disturbances and modelling uncertainties is addressed using two complementary strategies. First, disturbances considered as unknown inputs are decoupled. Second, process/measurement noise and modelling uncertainty are considered unknown but bounded. Then, their effect is considered using a new set-membership state estimation approach based on propagating the uncertainty using zonotopes. Finally, an example based on a linearised model of a flight control system is proposed.

Vicenç Puig | Ari Ingimundarson | Marcin Witczak | Pedro Guerra

[1] Luigi Chisci,et al. Recursive state bounding by parallelotopes , 1996, Autom..

[2] Giuseppe Carlo Calafiore,et al. Robust filtering for discrete-time systems with bounded noise and parametric uncertainty , 2001, IEEE Trans. Autom. Control..

[3] Eduardo F. Camacho,et al. Guaranteed state estimation by zonotopes , 2005, Autom..

[4] J. Norton,et al. State bounding with ellipsoidal set description of the uncertainty , 1996 .

[5] J. Shamma,et al. Approximate set-valued observers for nonlinear systems , 1997, IEEE Trans. Autom. Control..

[6] R. Patton,et al. Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances , 1996 .

[7] J.-Y. Keller. Fault isolation filter design for linear stochastic systems , 1999, Autom..

[8] Wolfgang Kuehn,et al. Rigorously computed orbits of dynamical systems without the wrapping effect , 1998, Computing.

[9] Giuseppe Calafiore,et al. A set-valued non-linear filter for robust localization , 2001, 2001 European Control Conference (ECC).

[10] Eric Walter,et al. Guaranteed recursive non‐linear state bounding using interval analysis , 2002 .

[11] Vicenç Puig,et al. Passive robust fault detection approaches using interval models , 2002 .

[12] Eric Walter,et al. Ellipsoidal parameter or state estimation under model uncertainty , 2004, Autom..

[13] C. Combastel. A state bounding observer based on zonotopes , 2003, 2003 European Control Conference (ECC).