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Robust Fuzzy Observer-Based Fault Tolerant Tracking Control for Nonlinear Systems with Simultaneous Actuator and Sensor Faults: Application to a DC Series Motor Speed Drive

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In this paper, a detailed design scheme for observer-based robust fault estimation and fault tolerant tracking control (FTTC) is developed for a class of nonlinear system described by a T-S fuzzy model subjected to both sensor and actuator faults simultaneously. The proposed scheme includes a single robust fuzzy observer (using the extended state system formulation) and an observer-based FTTC (using compensation scheme) to guarantee given stability requirements, while limiting the influence of noises and disturbances. Sufficient conditions for the robust stability of the proposed fuzzy observer are formulated in terms of linear matrix inequalities (LMIs) that can be conveniently solved using LMI optimization techniques. Based on the idea of a corrective control law and a corrective measurement output, the estimation results of the proposed observer are used to provide the FTTC system without changing the existing nominal control law. Thus this approach can be applied to general nonlinear control system. Finally, the validity and applicability of the proposed approach are shown by a numerical example of a DC series motor speed drive system.
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DC Series Motor Speed Drive; Fault Estimation; Reconfigurable Control; Robust Fuzzy Observer

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M. Blanke, M. Kinnaert, J. Lunze and J. Staroswiecki, Diagnosis and Fault-Tolerant Control, 2nd edition (Springer, 2006).

H. Noura, D. Theilliol, J. C. Ponsart and A. Chamseddine, Fault-tolerant Control Systems: Design and Practical Applications (Springer-Verlag, 2009).

R. J. Patton, Fault tolerant control: the 1997 situation, IFAC Safeprocess '97, Hull, United Kingdom, 1997.

M. Staroswiecki and A. Gehin, From control to supervision, Annual Reviews in Control, vol. 25 (no. 1): 1-11, 2001.

Y. Zhang and J. Jiang, Bibliographical review on reconfigurable fault-tolerant control systems, Annual Reviews in Control, vol. 32 (no. 2): 229-252, 2008.

J. Lunze and R. J. H, Reconfigurable Fault-tolerant Control: A Tutorial Introduction, European Journal of Control, vol. 5: 359-386, 2008.

M. Witczak, L. Dziekan, V. Puig and J. Korbicz, Design of fault-tolerant control scheme for Takagi-Sugeno fuzzy systems, 16th Mediterranean Conference on Control and Automation (MED), Ajaccio, Perancis, 2008.

D. Ichalal, B. Marx, J. Ragot and D. Maquin, New fault tolerant control strategy for nonlinear systems with multiple model approach, Conference on Control and Fault-Tolerant Systems (SysTol), Nice, Perancis, 2010.

M. Sami and R. Patton, A multiple model approach to fault tolerant tracking control for nonlinear systems, 20th Mediterranean Conference on Control and Automation (MED), Barcelona, Spanyol, 2012.

Z. Mao and B. Jiang, Fault identification and fault tolerant control for a class of networked control systems, International Journal of Innovative Computing, Information and Control, vol. 3 (no. 5): 1121–1130, 2007.

S. Tong, G. Yang and W. Zhang, Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays, Int. J. Appl. Math. Comput. Sci., vol. 21 (no. 4): 617-627, 2011.

S. Aouaouda and M. Boukhnife, Observer-based Fault Tolerant Controller Design for Induction Motor Drive in EV, IEEE Conference on Control Applications (CCA), Antibes, France, October 2014.

K. Indriawati, A. Jazidie and T. Agustinah, Reconfigurable Controller Based on Fuzzy Descriptor Observer for Nonlinear Systems With Sensor Faults, Applied Mechanics and Materials, vol. 771: 59-62, 2015.

A. Khedher, K. B. Othman and M. Benrejeb, Active Fault Tolerant Control (FTC) Design for Takagi-Sugeno Fuzzy Systems with Weighting Functions Depending on the FTC, International Journal of Computer Science Issues, vol. 8 (no. 3(1)): 88-96, 2011.

M. Sami and R. J. Patton, Active Fault Tolerant Control for Nonlinear Systems with Simultaneous Actuator and Sensor Faults, International Journal of Control, Automation, and Systems, vol. 11 (no. 6): 1149-1161, 2013.

Indriawati, K., Agustinah, T., Jazidie, A., Robust observer-based fault tolerant tracking control for linear systems with simultaneous actuator and sensor faults: Application to a DC motor system, (2015) International Review on Modelling and Simulations (IREMOS), 8 (4), pp. 410-417.

T. Takagi, M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Transactions on Systems, Man, and Cybernetics—Part B, vol.17 (no.2): 116–132, 1985.

C. Edwards, X. G. Yan and S. K. Spurgeon, On the solvability of the constrained Lyapunov problem, IEEE Trans. Automat. Control, vol. 52 (no 10): 1982–1987, 2007.

S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in systems and control (SIAM, 1994).

M. Bouattour, M. Chadli, M. Chaabane and A. E. Hajjaji, Design of robust fault detection observer for Takagi-Sugeno models using the descriptor approach, Int J Control Automat & Sys, vol. 9 (no. 5): 973−979, 2011.

K. Tanaka and H. O. Wang, Fuzzy control systems design and analysis: A linear matrix inequality approach (John Wiley & Sons, Inc., 2001).

S. Mehta and J. Chiasson, Nonlinear control of a series DC motor: theory and experiment, IEEE Transactions on Industrial Electronics, vol. 45 (no. 1): 134 - 141, 1998.

M. J. Burridge and Z. Qu, An improved nonlinear control design for series DC motors, Computers and Electrical Engineering, vol. 29: 730-735, 2003.

D. U. Campos-Delgado, D. R. Espinoza-Trejo and E. Palacios, Fault-tolerant control in variable speed drives: a survey, IET Electrical Power Application, vol. 2 (no. 2): 121-134, 2008.

D. U. Campos-Delgado, S. Martinez-Martinez and K. Zhou, Integrated fault tolerant scheme for a DC speed drive, IEEE Transactions on Mechatronics, vol. 10 (no. 4): 419-427, 2005.

Perhinschi, M.G., Al Azzawi, D., Moncayo, H., Simplified estimation algorithms for aircraft structural damage effects using an artificial immune system, (2015) International Review of Aerospace Engineering (IREASE), 8 (4), pp. 118-129.

Perhinschi, M.G., Al Azzawi, D., Moncayo, H., Perez, A., Evaluation of aircraft sensor failures effects using the artificial immune system paradigm, (2015) International Review of Aerospace Engineering (IREASE), 8 (2), pp. 71-80.

Azib, T., Bendali, M., Larouci, C., Hemsas, K.E., Fault tolerant control of interleaved buck converter for automotive application, (2015) International Review of Electrical Engineering (IREE), 10 (3), pp. 336-343.

Ayyakrishnan, M., Manikandan, V., Comparison of fuzzy and FPGA based fault tolerant schemes for four switch space vector PWM inverters, (2013) International Review of Electrical Engineering (IREE), 8 (5), pp. 1395-1402.

Manohari, D., Anandha Mala, G.S., Swarm Based Topology Control for Fault Tolerance in MANET, (2013) International Review on Computers and Software (IRECOS), 8 (4), pp. 1037-1044.

Grouz, F., Sbita, L., Fault detection and control loop reconfiguration for WECS with PMSG speed sensor fault, (2014) International Review on Modelling and Simulations (IREMOS), 7 (1), pp. 106-113.


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