A fault-tolerant control scheme for non-linear discrete-time systems

In this paper, an active FTC scheme is proposed. First, it is developed in the context of linear systems and then it is extended to non-linear systems with the differential mean value theorem. The key contribution of the proposed approach is an integrated FTC design procedure of the fault identification and fault-tolerant control schemes. Fault identification is based on the use of an observer. While, the FTC controller is implemented as a state feedback controller. This controller is designed such that it can stabilize the faulty plant using Lyapunov theory and LMIs. Finally, the last part of the paper shows experimental results that confirm the high performance of the proposed approach.

[1]  Dragan Nesic,et al.  On uniform asymptotic stability of time-varying parameterized discrete-time cascades , 2004, IEEE Transactions on Automatic Control.

[2]  François Delebecque,et al.  Test signal design for failure detection: A linear programming approach , 2003 .

[3]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[4]  A. Zemouche,et al.  Observer Design for Nonlinear Systems: An Approach Based on the Differential Mean Value Theorem. , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  M. V. Iordache,et al.  Diagnosis and Fault-Tolerant Control , 2007, IEEE Transactions on Automatic Control.

[6]  Alex M. Andrew,et al.  Fault Diagnosis: Models, Artificial Intelligence, Applications , 2005 .

[7]  Michel Verhaegen,et al.  RECONFIGURABLE ROBUST FAULT-TOLERANT CONTROL AND STATE ESTIMATION , 2002 .

[8]  Marcin Witczak,et al.  Advances in model-based fault diagnosis with evolutionary algorithms and neural networks , 2006 .

[9]  S. Żak,et al.  Observer design for systems with unknown inputs , 2005 .

[10]  Zhong-Ping Jiang,et al.  On Uniform Global Asymptotic Stability of Nonlinear Discrete-Time Systems With Applications , 2006, IEEE Transactions on Automatic Control.

[11]  Ali Zemouche,et al.  Observer Design for Lipschitz Nonlinear Systems: The Discrete-Time Case , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

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

[14]  Thomas Steffen,et al.  Control Reconfiguration After Actuator Failures Using Disturbance Decoupling Methods , 2006, IEEE Transactions on Automatic Control.

[15]  W. P. M. H. Heemels,et al.  Decoupling-based reconfigurable control of linear systems after actuator faults , 2009, 2009 European Control Conference (ECC).

[16]  Marcin Witczak.  Modelling and Estimation Strategies for Fault Diagnosis of Non-Linear Systems: From Analytical to Soft Computing Approaches , 2007 .

[17]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.