Active fault-tolerant control design for Takagi-Sugeno fuzzy systems

In this paper, a virtual actuator-based active fault-tolerant control strategy is presented. After a short introduction to Takagi-Sugeno fuzzy systems, it is shown how to design a fault-tolerant control strategy for this particular class of non-linear systems. The key contribution of the proposed approach is an integrated fault-tolerant control design procedure of fault identification and control within an integrated fault-tolerant control scheme. In particular, fault identification is implemented with the suitable state observer. While, the controller is implemented in such a way that the state of the (possibly faulty) system tracks the state of a fault-free reference model. Consequently, the fault-tolerant control stabilizes the possibly faulty system taking into account the input constraints and some control objective function. Finally, the last part of the paper shows a comprehensive case study regarding the application of the proposed strategy to fault-tolerant control of a twin-rotor system.

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

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

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

[4]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

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

[6]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

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

[8]  G. W. Irwin,et al.  LMI-based control design for discrete polytopic LPV systems , 2003, 2003 European Control Conference (ECC).

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

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

[11]  Robert M. Pap,et al.  Fault Diagnosis , 1990, Bayesian Networks in Fault Diagnosis.

[12]  Jie Chen,et al.  An LMI approach to fault-tolerant control of uncertain systems , 1998, Proceedings of the 1998 IEEE International Symposium on Intelligent Control (ISIC) held jointly with IEEE International Symposium on Computational Intelligence in Robotics and Automation (CIRA) Intell.

[13]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[14]  Akbar Rahideh,et al.  Mathematical dynamic modelling of a twin-rotor multiple input-multiple output system , 2007 .

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

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

[17]  M. Witczak,et al.  Design of a fault-tolerant control scheme for Takagi-Sugeno fuzzy systems , 2008, 2008 16th Mediterranean Conference on Control and Automation.

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

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

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

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

[22]  Zhihua Qu,et al.  Robust fault-tolerant self-recovering control of nonlinear uncertain systems , 2003, Autom..

[23]  Zhenyu Yang,et al.  Reliability Modeling of Fault Tolerant Control Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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

[25]  M. Witczak,et al.  Fault-Tolerant Control of a two-degree of freedom helicopter using LPV techniques , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[26]  Der-Cherng Liaw,et al.  Reliable control of nonlinear systems , 2000, IEEE Trans. Autom. Control..