(2) Habib Hamdi (Tunisian Polytechnic School, Tunisia)
(3) Bouali Rabaoui (Tunisian Polytechnic School, Tunisia)
(4) Naceur BenHadj Braiek (Tunisian Polytechnic School, Tunisia)
*corresponding author
AbstractThis paper considers the problem of Fault Tolerant Tracking Control (FTTC) strategy design for nonlinear systems using Takagi-Sugeno (T-S) fuzzy models with measurable premise variables affected by actuator faults subject to unknown bounded disturbances (UBD). Firstly, the Adaptive Fuzzy Observer (AFO) is proposed to estimate the faults. Based on the information provided by this observer, an active fault tolerant tracking controller described by an adaptive Proportional-Integral-Derivative (PID) structure has been developed to compensate for the actuator fault effects and to guarantee the trajectory tracking of desired outputs to the reference model despite the presence of actuator faults. The stability and the trajectory tracking performances of the proposed approach are analyzed based on the Lyapunov theory. Sufficient conditions can be obtained and solved for the design of the controller, and the observer gains using Linear Matrix Inequalities (LMIs). Finally, the effectiveness of the proposed technique is illustrated by using a single-link flexible joint robot.
KeywordsT-S fuzzy systems; PID Fault Tolerant Tracking Control; Adaptive Fuzzy Observer; Single-link flexible joint robot; LMIs Constraints;
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DOIhttps://doi.org/10.31763/ijrcs.v2i3.762 |
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References
[1] X. Yu and J. Jiang, “A survey of fault-tolerant controllers based on safety-related issues,” in Annual Reviews in Control, 2015, vol. 39, pp. 46–57, https://doi.org/10.1016/j.arcontrol.2015.03.004.
[2] Z. Gao, C. Cecati, and S. X. Ding, “A survey of fault diagnosis and fault-tolerant techniques-part I: Fault diagnosis with model-based and signal-based approaches,” IEEE Transactions on Industrial Electronics, vol. 62, no. 6, pp. 3757–3767, Jun. 2015, http://dx.doi.org/10.1109/TIE.2015.2417501.
[3] A. A. Amin and K. M. Hasan, “A review of Fault Tolerant Control Systems: Advancements and applications,” Measurement, vol. 143, pp. 58–68, Sep. 2019, https://doi.org/10.1016/j.measurement.2019.04.083.
[4] M. Saied, B. Lussier, I. Fantoni, H. Shraim, and C. Francis, “Active versus passive fault-tolerant control of a redundant multirotor UAV,” Aeronautical Journal, vol. 124, no. 1273, pp. 385–408, Mar. 2020, https://dx.doi.org/10.1017/aer.2019.149.
[5] T. Takagi and M. Sugeno, “Fuzzy Identification of Systems and Its Applications to Modeling and Control,” in Readings in Fuzzy Sets for Intelligent Systems, pp. 387–403, 1993, https://doi.org/10.1016/B978-1-4832-1450-4.50045-6.
[6] J. Han, H. Zhang, Y. Wang, and X. Liu, “Robust state/fault estimation and fault tolerant control for T–S fuzzy systems with sensor and actuator faults,” J Franklin Inst, vol. 353, no. 2, pp. 615–641, Jan. 2016, https://doi.org/10.1016/j.jfranklin.2015.12.009.
[7] H. ben Zina, M. Bouattour, and M. Chaabane, “Robust Takagi-Sugeno sensor fault tolerant control strategy for nonlinear system,” Iranian Journal of Fuzzy Systems, vol. 16, no. 6, pp. 177-189, 2019, https://dx.doi.org/10.22111/ijfs.2019.5027.
[8] S. Makni, M. Bouattour, A. el Hajjaji, and M. Chaabane, “Robust fault tolerant control based on adaptive observer for Takagi-Sugeno fuzzy systems with sensor and actuator faults: Application to single-link manipulator,” Transactions of the Institute of Measurement and Control, vol. 42, no. 12, pp. 2308–2323, Aug. 2020, https://doi.org/10.1177/0142331220909996.
[9] S. Makni, M. Bouattour, A. el Hajjaji, and M. Chaabane, “Robust observer based Fault Tolerant Tracking Control for T–S uncertain systems subject to sensor and actuator faults,” ISA Transactions, vol. 88, pp. 1–11, May 2019, https://doi.org/10.1016/j.isatra.2018.11.022.
[10] H. Hamdi, M. Rodrigues, C. Mechmeche, and N. BenHadj Braiek, “Observer based Fault Tolerant Control for Takagi-Sugeno Nonlinear Descriptor systems Fault Diagnosis for Descriptor Systems,” International Conference on Control, Engineering & Information Technology (CEIT’13), 2013, https://www.researchgate.net/publication/256114864.
[11] S. F. Abd Latip, A. Rashid Husain, Z. Mohamed, and M. A. Mohd Basri, “Adaptive PID actuator fault tolerant control of single-link flexible manipulator,” Transactions of the Institute of Measurement and Control, vol. 41, no. 4, pp. 1019–1031, Feb. 2019, https://doi.org/10.1177/0142331218776720.
[12] M. Elouni, B. Rabaoui, H. Hamdi, and N. B. Braiek, “Adaptive PID Takagi-Sugeno Actuator Fault Tolerant Tracking Control for Nonlinear Systems,” in 2020 20th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), pp. 119–124, Dec. 2020, https://doi.org/10.1109/STA50679.2020.9329320.
[13] B. Rabaoui, H. Hamdi, N. B. Braiek, and M. Rodrigues, “A reconfigurable PID fault tolerant tracking controller design for LPV systems,” ISA Transactions, vol. 98, pp. 173–185, Mar. 2020, https://doi.org/10.1016/j.isatra.2019.08.049.
[14] B. Rabaoui, H. Hamdi, N. BenHadj Braiek, and M. Rodrigues, “Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems,” International Journal of Robust and Nonlinear Control, vol. 31, no. 17, pp. 8329–8352, Nov. 2021, https://doi.org/10.1002/rnc.5315.
[15] K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis. New York, USA: John Wiley & Sons, Inc., 2001, https://doi.org/10.1002/0471224596.
[16] M. Rodrigues, H. Hamdi, D. Theilliol, C. Mechmeche, and N. BenHadj Braiek, “Actuator fault estimation based adaptive polytopic observer for a class of LPV descriptor systems,” International Journal of Robust and Nonlinear Control, vol. 25, no. 5, pp. 673–688, Mar. 2015, https://dx.doi.org/10.1002/rnc.3236.
[17] Z. Feng, G. Zhang, and Xiang-Lan Han, “PID fault tolerant control system design with multi-performance indices constraints,” Proceedings of the 10th World Congress on Intelligent Control and Automation, Jul. 2012, pp. 3286–3291, https://doi.org/10.1109/WCICA.2012.6358440.
[18] B. Jiang, J. L. Wang, and Y. C. Soh, “An adaptive technique for robust diagnosis of faults with independent effects on system outputs,” International Journal of Control, vol. 75, no. 11, pp. 792–802, Jan. 2002, https://doi.org/10.1080/00207170210149934.
[19] F. R. L. Estrada, J. C. Ponsart, D. Theilliol, and C. M. Astorga-Zaragoza, “Robust H−/H∞ fault detection observer design for descriptor-LPV systems with unmeasurable gain scheduling functions,” International Journal of Control, vol. 88, no. 11, pp. 2380–2391, Nov. 2015, https://doi.org/10.1080/00207179.2015.1044261.
[20] J. Korbicz, M. Witczak, and V. Puig, “LMI-based strategies for designing observers and unknown input observers for non-linear discrete-time systems,” 2007, http://bluebox.ippt.pan.pl/~bulletin/(55-1)31.pdf.
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