Parity relation based fault estimation for nonlinear systems: An LMI approach

This paper proposes a parity relation based fault estimation for a class of nonlinear systems which can be modelled by Takagi-Sugeno (TS) fuzzy models. The design of a parity relation based residual generator is formulated in terms of a family of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed design techniques.

[1]  Roland S. Barth.  Is There a Way Out , 1974 .

[2]  Reza Langari,et al.  Building Sugeno-type models using fuzzy discretization and orthogonal parameter estimation techniques , 1995, IEEE Trans. Fuzzy Syst..

[3]  Peng Shi,et al.  H∞ fuzzy output feedback control design for nonlinear systems: an LMI approach , 2003, IEEE Trans. Fuzzy Syst..

[4]  Janos J. Gertler,et al.  Analytical Redundancy Methods in Fault Detection and Isolation , 1991 .

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

[6]  Sing Kiong Nguang,et al.  H/sub /spl infin// fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  Peng Shi,et al.  Fuzzy Hinfinity output feedback control of nonlinear systems under sampled measurements , 2003, Autom..

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

[9]  S. Nguang,et al.  H/sub /spl infin// filtering for fuzzy dynamical systems with D stability constraints , 2003 .

[10]  Bor-Sen Chen,et al.  Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach , 2000, IEEE Trans. Fuzzy Syst..

[11]  C. Lane,et al.  A Soldier in Science: the Autobiography of Bailey K Ashford , 1935, Nature.

[12]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[13]  Rolf Isermann,et al.  Process fault detection based on modeling and estimation methods - A survey , 1984, Autom..

[14]  Torsten Jeinsch,et al.  A characterization of parity space and its application to robust fault detection , 1999, IEEE Trans. Autom. Control..

[15]  Sing Kiong Nguang,et al.  Fuzzy H/sub /spl infin// output feedback control design for singularly perturbed systems with pole placement constraints: an LMI approach , 2006, IEEE Transactions on Fuzzy Systems.

[16]  R. Patton,et al.  A Review of Parity Space Approaches to Fault Diagnosis , 1991 .

[17]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

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

[19]  Kazuo Tanaka,et al.  An LMI approach to fuzzy controller designs based on relaxed stability conditions , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[20]  J.J. Gertler,et al.  Survey of model-based failure detection and isolation in complex plants , 1988, IEEE Control Systems Magazine.

[21]  Dingli Yu,et al.  A parity space method of fault detection for bilinear systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

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

[23]  Didier Theilliol,et al.  Some extensions to the parity space method for FDI using alternated projection subspaces , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[24]  Marcel Staroswiecki,et al.  Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems , 2001, Autom..

[25]  Sing Kiong Nguang,et al.  H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach , 2004, IEEE Trans. Signal Process..

[26]  Michèle Basseville,et al.  Detecting changes in signals and systems - A survey , 1988, Autom..

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

[28]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[29]  Kazuo Tanaka,et al.  Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems , 2001, IEEE Trans. Fuzzy Syst..

[30]  P. Shi,et al.  Fuzzy Output Feedback Control Design for Nonlinear Systems: An LMI Approach , 2003 .

[31]  P. Shi,et al.  H∞ Output feedback control of fuzzy system models under sampled measurements , 2003 .