Fault Detection in Nonlinear Systems Via Linear Methods

Abstract The problem of robust linear and nonlinear diagnostic observer design is considered. A method is suggested to construct the observers that are disturbance decoupled or have minimal sensitivity to the disturbances. The method is based on a logic-dynamic approach which allows us to consider systems with non-differentiable nonlinearities in the state equations by methods of linear algebra.

[1]  Michel Kinnaert,et al.  Diagnosis and Fault-Tolerant Control , 2004, IEEE Transactions on Automatic Control.

[2]  Wojciech Cholewa,et al.  Fault Diagnosis , 2004, Springer Berlin Heidelberg.

[3]  Ian Postlethwaite,et al.  Survey and application of sensor fault detection and isolation schemes , 2011 .

[4]  Paul M. Frank,et al.  Issues of Fault Diagnosis for Dynamic Systems , 2010, Springer London.

[5]  Keith Worden Fault Diagnosis and Fault Tolerance for Mechatronic Systems: Recent Advances , 2005 .

[6]  George C. Verghese,et al.  Optimally robust redundancy relations for failure detection in uncertain systems , 1986, Autom..

[7]  Alexey Zhirabok,et al.  Nonlinear diagnostic filter design: algebraic and geometric points of view , 2006 .

[8]  Vincent Cocquempot,et al.  Robust nonlinear observer design for actuator fault detection in diesel engines , 2013, Int. J. Appl. Math. Comput. Sci..

[9]  Alexey Zhirabok,et al.  Logic-dynamic approach to the robust fault diagnosis in nonlinear systems , 2013, 2013 Conference on Control and Fault-Tolerant Systems (SysTol).

[10]  V. F. Filaretov,et al.  Parity relation approach to fault diagnosis in manipulation robots , 2003 .

[11]  V. F. Filaretov,et al.  Achieving robustness at diagnosis of nonlinear systems , 2010 .

[12]  V. F. Filaretov,et al.  Logic-Dynamic Approach to Fault Diagnosis in Mechatronic Systems , 2006 .

[13]  Steven X. Ding,et al.  Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools , 2008 .

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

[15]  J. Hedrick,et al.  Observer design for a class of nonlinear systems , 1994 .

[16]  Alexey Zhirabok,et al.  Linear Methods in Observability and Controllability of Nonlinear Systems , 2010 .

[17]  Guillaume Ducard Smac–Fdi: A Single Model Active Fault Detection and Isolation System for Unmanned Aircraft , 2015, Int. J. Appl. Math. Comput. Sci..

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

[19]  Ron J. Patton,et al.  Robust Model-Based Fault Diagnosis: The State of the ART , 1994 .

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

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