Fault detection and isolation for a Lipschitz nonlinear system: Application to a bank of tanks

this paper addresses the problem of fault detection and isolation (FDI) for a class of Lipschitz nonlinear systems with unknown inputs. We propose two new approaches based on unknown input observer design technique to detect, locate and estimate additional faults. The observer design problem is formulated in Linear Matrix Inequalities (LMI) terms which can be solved easily using LMI technique. An application of quadruple-tank process is presented to show the performance of the proposed approaches.

[1]  M. Darouach,et al.  Full-order observers for linear systems with unknown inputs , 1994, IEEE Trans. Autom. Control..

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

[3]  P. Hsu,et al.  Robust diagnosis of nonlinear systems with structured uncertainties via the T-S fuzzy UIFDO , 2005, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005..

[4]  R. Patton,et al.  Robust fault detection using Luenberger-type unknown input observers-a parametric approach , 2001 .

[5]  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).

[6]  Mohammed Chadli,et al.  Design of a sliding mode fuzzy observer for uncertain Takagi-Sugeno fuzzy model : application to automatic steering of vehicles , 2007 .

[7]  Paul M. Frank,et al.  Robust Component Fault Detection and Isolation in Nonlinear Dynamic Systems using Nonlinear unknown Input Observers , 1991 .

[8]  P. Müller,et al.  Fault detection and isolation observers , 1994 .

[9]  Yi Xiong,et al.  Unknown disturbance inputs estimation based on a state functional observer design , 2003, Autom..

[10]  Multiple Model Approach to Modelling and Control of Biotecnological Processes , 1998 .

[11]  R. Rajamani Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[12]  D. Maquin,et al.  Synthèse d'un multiobservateur robuste pour multimodèle incertain à entrées inconnues : approche LMI. , 2006 .

[13]  E. Alcorta-Garcia,et al.  Detection of internal faults in transformers using nonlinear observers , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[14]  Engin Yaz,et al.  Actuator fault detection and isolation in nonlinear systems using LMIs and LMEs , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[15]  Damien Koenig,et al.  New design of robust observers for fault detection and isolation , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[16]  Guang-Ren Duan,et al.  Robust fault detection using Luenberger-type unknown input observers-a parametric approach , 2001, Int. J. Syst. Sci..

[17]  J. Ragot,et al.  Fault detection and isolation using sliding mode observer for uncertain Takagi-Sugeno fuzzy model , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[18]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[19]  A. Alessandri Observer design for nonlinear systems by using Input-to-State Stability , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[20]  Christopher Edwards,et al.  Sliding mode observers for reconstruction of simultaneous actuator and sensor faults , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[21]  Martin J. Corless,et al.  State and Input Estimation for a Class of Uncertain Systems , 1998, Autom..

[22]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[23]  M. Saif,et al.  Fault detection and isolation based on novel unknown input observer design , 2006, 2006 American Control Conference.

[24]  Mehrdad Saif,et al.  Actuator fault diagnosis for affine nonlinear systems with unknown inputs , 2007, 2007 46th IEEE Conference on Decision and Control.

[25]  Mehrdad Saif,et al.  A novel design for robust fault diagnostic observer , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).