Nonlinear diagnostic filter design: algebraic and geometric points of view

The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.

[1]  M. Massoumnia.  A geometric approach to the synthesis of failure detection filters , 1986 .

[2]  Alexey N. Zhirabok,et al.  A New Mathematical Techniques for Nonlinear Systems Research , 1993 .

[3]  J. Gauthier,et al.  Deterministic Observation Theory and Applications , 2001 .

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

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

[6]  Paul M. Frank,et al.  Nonlinear observer design via an extended observer canonical form , 1990 .

[7]  Jaehong Park,et al.  On the representation of sensor faults in fault detection filters , 1994, Autom..

[8]  Dominique Sauter,et al.  SUFFICIENT CONDITIONS TO FAULT ISOLATION IN NONLINEAR SYSTEMS: A GEOMETRIC APPROACH , 2002 .

[9]  J. Gertler,et al.  Optimal residual decoupling for robust fault diagnosis , 1995 .

[10]  A. Isidori,et al.  On the problem of residual generation for fault detection in nonlinear systems and some related facts , 1999, 1999 European Control Conference (ECC).

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

[12]  Andrea Bacciotti.  Nonlinear control systems - an algebraic setting: G. Conte, C.H. Moog and A.M. Perdon; Springer, London, 1999, ISBN 1-85233-151-8 , 2001, Autom..

[13]  Paul M. Frank,et al.  Analytical and Qualitative Model-based Fault Diagnosis - A Survey and Some New Results , 1996, Eur. J. Control.

[14]  P. Frank,et al.  Deterministic nonlinear observer-based approaches to fault diagnosis: A survey , 1997 .

[15]  J. Hedrick,et al.  Nonlinear Observers—A State-of-the-Art Survey , 1989 .

[16]  M. Zeitz,et al.  Extended Luenberger observer for non-linear multivariable systems , 1988 .

[17]  Dominique Sauter,et al.  FAULT DETECTION AND ISOLATION VIA A NONLINEAR FILTER , 2002 .

[18]  A. Willsky,et al.  Analytical redundancy and the design of robust failure detection systems , 1984 .

[19]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: A survey and some new results , 1990, Autom..

[20]  J. Bokor,et al.  INPUT RECONSTRUCTION BY MEANS OF SYSTEM INVERSION: A GEOMETRIC APPROACH TO FAULT DETECTION AND ISOLATION IN NONLINEAR SYSTEMS , 2004 .

[21]  J. Hartmanis,et al.  Algebraic Structure Theory Of Sequential Machines , 1966 .

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

[23]  Jie Chen,et al.  A Re-Examination of Fault Detectability and Isolability in Linear Dynamic Systems , 1994 .