FAULT DIAGNOSIS IN NONLINEAR SYSTEMS USING INTERCONNECTED SLIDING MODE OBSERVERS

This paper presents a new technique for fault diagnosis and estimation of unknown inputs in a class of nonlinear systems. The novelty of the approach is governed by the use of two interconnected sliding mode observers. The first of the two observers is used for fault diagnosis and the second is used for the reconstruction of unknown inputs. The two observers exchange their respective reconstructed signals online and in real time. Conditions for the convergence are derived. The design is such that the state trajectories do not leave the sliding manifold even in presence of unknown inputs and faults. This allows for faults and unknown inputs to be reconstructed based on information retrieved from the equivalent output error injection signals.

[1]  A. Willsky,et al.  Failure detection and identification , 1989 .

[2]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[3]  Richard Vernon Beard,et al.  Failure accomodation in linear systems through self-reorganization. , 1971 .

[4]  Hassan Hammouri,et al.  Observer-based approach to fault detection and isolation for nonlinear systems , 1999, IEEE Trans. Autom. Control..

[5]  Henk Nijmeijer,et al.  Sliding Controller-Sliding Observer Design for Non-linear Systems , 1998, Eur. J. Control.

[6]  M. Aldeen,et al.  Fault Detection in Nonlinear Systems with Unknown Inputs using Sliding Mode Observer , 2007, 2007 American Control Conference.

[7]  Alberto Isidori,et al.  A Geometric Approach to Nonlinear Fault Detection and Isolation , 2000 .

[8]  Benito R. Fernandez,et al.  Robust fault detection in nonlinear systems using sliding mode observers , 1993, Proceedings of IEEE International Conference on Control and Applications.

[9]  Paul M. Frank,et al.  Fault-diagnosis by disturbance decoupled nonlinear observers , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[10]  A. Isidori Nonlinear Control Systems , 1985 .

[11]  D. Koenig,et al.  Design of a class of reduced order unknown inputs nonlinear observer for fault diagnosis , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[12]  A. J. Koshkouei,et al.  Sliding mode state observation for non-linear systems , 2004 .

[13]  Yi Xiong,et al.  Sliding mode observer for nonlinear uncertain systems , 2001, IEEE Trans. Autom. Control..

[14]  H. G. Kwatny,et al.  Nonlinear Control and Analytical Mechanics: A Computational Approach , 2001 .

[15]  Harry G. Kwatny,et al.  Nonlinear Control and Analytical Mechanics: A Computational Approach , 2000 .

[16]  Wang Zicai Observer Design for a Class of Nonlinear Systems , 1998 .

[17]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[18]  Jean-Pierre Barbot,et al.  Sliding Mode Control In Engineering , 2002 .