Fault diagnosis and fault tolerant control scheme for a class of non-linear singular systems

A new fault detection and diagnosis method is developed in this study for a class of singular non-linear systems via the use of observers with adaptive updating rules. The Lyapunov stability theory is applied to obtain a stable observation error system and to obtain the required adaptive tuning rules for the estimation of the process faults. Based on the fault estimation information, the controller is reconfigured to keep the post-fault system stable, leading to the active fault tolerant control of the non-linear singular system. A simulated numerical example is included to demonstrate the effectiveness of the proposed approach.

[1]  Peng Shi,et al.  Integrated Fault Estimation and Accommodation Design for Discrete-Time Takagi–Sugeno Fuzzy Systems With Actuator Faults , 2011, IEEE Transactions on Fuzzy Systems.

[2]  Masoud Abbaszadeh,et al.  Generalized dynamic robust energy-to-peak filtering of nonlinear descriptor systems with uncertainties , 2012, 2012 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA).

[3]  Daniel U. Campos-Delgado,et al.  Reconfigurable fault-tolerant control using GIMC structure , 2003, IEEE Trans. Autom. Control..

[4]  D. Cobb Controllability, observability, and duality in singular systems , 1984 .

[5]  Philippe Weber,et al.  Reconfigurability analysis for reliable fault-tolerant control design , 2011, Int. J. Appl. Math. Comput. Sci..

[6]  D. Luenberger,et al.  SINGULAR DYNAMIC LEONTIEF SYSTEMS1 , 1977 .

[7]  Paul M. Frank,et al.  Observer-based supervision and fault detection in robots using nonlinear and fuzzy logic residual evaluation , 1996, IEEE Trans. Control. Syst. Technol..

[8]  Peter C. Müller,et al.  Design of a class of Luenberger observers for descriptor systems , 1995, IEEE Trans. Autom. Control..

[9]  Peng Shi,et al.  Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions , 2012, IEEE Transactions on Fuzzy Systems.

[10]  Damien Koenig,et al.  Observer design for unknown input nonlinear descriptor systems via convex optimization , 2006, IEEE Transactions on Automatic Control.

[11]  Rolf Isermann Model-based fault-detection and diagnosis - status and applications § , 2004 .

[12]  Hariharan Krishnan,et al.  Tracking in nonlinear differential-algebraic control systems with applications to constrained robot systems , 1994, Autom..

[13]  S. Ding,et al.  Fault Reconstruction for Lipschitz Nonlinear Descriptor Systems via Linear Matrix Inequality Approach , 2008 .

[14]  Steven X. Ding,et al.  Robust fault detection filter design for uncertain switched systems with adaptive threshold setting , 2011, IEEE Conference on Decision and Control and European Control Conference.

[15]  Didier Georges,et al.  Robust fault diagnosis for linear descriptor systems using proportional integral observers , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[16]  Jing-Yue Lin,et al.  A discrete optimal control problem for descriptor systems , 1989 .

[17]  Mohamed Darouach,et al.  Novel bounded real lemma for discrete-time descriptor systems: Application to H∞ control design , 2012, Autom..

[18]  D. Hill,et al.  Stability theory for differential/algebraic systems with application to power systems , 1990 .

[19]  Raghunathan Rengaswamy,et al.  New nonlinear residual feedback observer for fault diagnosis in nonlinear systems , 2008, Autom..

[20]  C.-S. Liu,et al.  Adaptive neural-networks-based fault detection and diagnosis using unmeasured states , 2008 .

[21]  S. Ding,et al.  Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design , 2007 .

[22]  Zhibin Yan Geometric analysis of impulse controllability for descriptor system , 2007, Syst. Control. Lett..

[23]  Yufei Xu,et al.  Adaptive Fault-Tolerant Tracking Control of Near-Space Vehicle Using Takagi–Sugeno Fuzzy Models , 2010, IEEE Transactions on Fuzzy Systems.

[24]  Wei Lin,et al.  Adaptive observer-based fault diagnosis for a class of MIMO nonlinear uncertain systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[25]  Fabrice Druaux,et al.  Self adaptive growing neural network classifier for faults detection and diagnosis , 2011, Neurocomputing.

[26]  Hong Wang,et al.  Actuator fault diagnosis: an adaptive observer-based technique , 1996, IEEE Trans. Autom. Control..

[27]  Yuanhua Wang,et al.  Stabilisation and H∞ control of a class of non-linear Hamiltonian descriptor systems with application to non-linear descriptor systems , 2010 .

[28]  Chunyu Yang,et al.  Observer design for a class of nonlinear descriptor systems , 2013, J. Frankl. Inst..

[29]  Rolf Isermann,et al.  Supervision, fault-detection and fault-diagnosis methods — An introduction , 1997 .

[30]  P. Daoutidis,et al.  Feedback control of nonlinear differential-algebraic-equation systems , 1995 .

[31]  Danwei Wang,et al.  Learning control for a class of nonlinear differential-algebraic systems with application to constrained robots , 1996 .

[32]  Shaoping Wang,et al.  An adaptive threshold based on support vector machine for fault diagnosis , 2009, 2009 8th International Conference on Reliability, Maintainability and Safety.

[33]  Ai-Guo Wu,et al.  Generalized PID Observer Design for Descriptor Linear Systems , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[34]  Daniel W. C. Ho,et al.  Necessary and sufficient conditions for the output feedback regularization of descriptor systems , 1999, IEEE Trans. Autom. Control..

[35]  R. Newcomb The semistate description of nonlinear time-variable circuits , 1981 .

[36]  Tianyou Chai,et al.  Hybrid Intelligent System for Supervisory Control of Mineral Grinding Process , 2006, Sixth International Conference on Intelligent Systems Design and Applications.

[37]  Masoud Abbaszadeh,et al.  A generalized framework for robust nonlinear Hinfinity filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties , 2012, Autom..

[38]  Daniel W. C. Ho,et al.  Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation , 2010, Autom..

[39]  El Hassane El Yaagoubi,et al.  Observer Design for a Class of Differential-Algebraic Systems Application to a Bioprocess Model , 2005 .

[40]  Silvio Simani,et al.  Active fault tolerant control of nonlinear systems: The cart-pole example , 2011, Int. J. Appl. Math. Comput. Sci..

[41]  Marcel Staroswiecki,et al.  Fault Accommodation for Nonlinear Dynamic Systems , 2006, IEEE Transactions on Automatic Control.