Dynamic output feedback fault-tolerant controller design for a class of generalized Takagi-Sugeno fuzzy nonlinear systems

[1] Y. Zhang, J. Jiang, “Bibliographical review on reconfigurable fault-tolerant control systems”, Annual Reviews in Control, vol. 32, no. 2, pp. 229-252, 2008.

[2] P. M. Frank, “Analytical and qualitative model-based fault diagnosis–a survey and some new results”, European Journal of control, vol. 2, no. 1, pp. 6-28, 1996.

[3] S. X. Ding, “Model-based fault diagnosis techniques: design schemes, algorithms, and tools”, Springer Science & Business Media, 2008.

[4] M. Witczak, “Fault diagnosis and fault-tolerant control strategies for non-linear systems: Analytical and soft computing approaches”, Springer International Publishing, 2014.

[5] J. Gertler, “Fault detection and diagnosis in engineering systems”, Routledge, 2017.

[6] R. Isermann, “Supervision, fault-detection and fault-diagnosis methods—a short introduction”, In Combustion Engine Diagnosis, pp. 25-47, Springer Vieweg, Berlin, Heidelberg, 2017.

[7] Z. Gao, C. Cecati, 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, 2015.

[8] Z. Gao, C. Cecati, S. X. Ding, “A survey of fault diagnosis and fault-tolerant techniques—Part II: Fault diagnosis with knowledge-based and hybrid/active approaches”, IEEE Transactions on Industrial Electronics, vol. 62, no. 6, pp. 3768-3774, 2015.

[9] H. Kargar, J. Zarei, R. Razavi-Far, “Robust fault detection filter design for nonlinear networked control systems with time-varying delays and packet dropout”, Circuits, Systems, and Signal Processing, vol. 38, no. 1, pp. 63-84, 2019.

[10] M. Li, Z. Zuo, H. Liu, C. Liu, B. Zhu, “Adaptive fault tolerant control for trajectory tracking of a quadrotor helicopter”, Transactions of the Institute of Measurement and Control, vol. 40, no. 12, pp. 3560-3569, 2018.

[11] M. Witczak, V. Puig, S. M. de Oca, “A fault-tolerant control strategy for non-linear discrete-time systems: application to the twin-rotor system”, International Journal of Control, vol. 86, no. 10, pp. 1788-1799, 2013.

[12] X. Jin, “Adaptive fault tolerant tracking control for a class of stochastic nonlinear systems with output constraint and actuator faults”, Systems & Control Letters, vol. 107, pp. 100-109, 2017.

[13] X. Yin, Z. Li, L. Zhang, M. Han, “Distributed state estimation of sensor-network systems subject to Markovian channel switching with application to a chemical process”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 48, no. 6, pp. 864-874, 2018.

[14] L. Liu, Y. J. Liu, S. Tong, “Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems”, IEEE Transactions on Cybernetics, vol. 49, no. 7, pp. 2536-2545, 2018.

[15] X. Yun, L. Wu, Y.  Xu, “Adaptive fault-tolerant control for a class of uncertain lower-triangular nonlinear systems with actuator failures”, In 2018 Chinese Control and Decision Conference (CCDC), June 2018, Shenyang, China, pp. 795-800.

[16] A. Moradvandi, S. A. Malek, M. Shahrokhi, “Adaptive finite-time fault-tolerant controller for a class of uncertain MIMO nonlinear switched systems subject to output constraints and unknown input nonlinearities”, Nonlinear Analysis: Hybrid Systems, vol. 35, February 2020. DOI: 10.1016/j.nahs.2019.100821

[17] X. Jin, X. Zhao, J. Yu, X. Wu, J. Chi, “Adaptive fault-tolerant consensus for a class of leader-following systems using neural network learning strategy”, Neural Networks, vol. 121, pp. 474-483, 2020.

[18] A. Khodadadi, M. Shahriari-kahkeshi, A. Chatraei, “A novel scheme for actuator fault tolerant controller design based on the fault identification”, Tabriz Journal of Electrical Engineering, vol. 48, no. 2, pp. 595-608, 2018 (in persian).

[19] J. L. Castro, M. Delgado, “Fuzzy systems with defuzzification are universal approximators”, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 26, no. 1, pp. 149-152, 1996.

[20] C. W. De Silva, “Intelligent control: fuzzy logic applications”, CRC press, 2018.

[21] K. Tanaka, H. O. Wang, “Fuzzy control systems design and analysis: A linear matrix inequality approach”, John Wiley & Sons, 2004.

[22] J. Mrazgua, M. Ouahi, “Fuzzy fault-tolerant H_∞ control approach for nonlinear active suspension systems with actuator failure”, Procedia Computer Science, vol. 148, pp. 465-474, 2019.

[23] X. K. Du, H. Zhao, X. H. Chang, “Unknown input observer design for fuzzy systems with uncertainties”, Applied Mathematics and Computation, vol. 266, pp. 108-118, 2015.

[24] J. Dong, G. H. Yang, “Observer-based output feedback control for discrete-time T-S fuzzy systems with partly immeasurable premise variables”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 47, no.(1), pp. 98-110, 2017.

[25] D. Ye, X. Li, “Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems”, Applied Mathematics and Computation, vol. 366, February 2020. DOI: 10.1016/j.amc.2019.124729

[26] Y. Gao, F. Xiao, J. Liu, R. Wang, “Distributed soft fault detection for interval type-2 fuzzy-model-based stochastic systems with wireless sensor networks”, IEEE Transactions on Industrial Informatics, vol. 15, no. 1, pp. 334-347, 2018.

[27] S. Zeghlache, A. Djerioui, L. Benyettou, T. Benslimane, H. Mekki, A. Bouguerra, “Fault tolerant control for modified quadrotor via adaptive type-2 fuzzy backstepping subject to actuator faults”, ISA transactions, vol. 95, pp. 330-345, 2019.

[28] H. Patel and V. Shah, “Fault tolerant control using interval type-2 Takagi-Sugeno fuzzy controller for nonlinear system”, In International Conference on Intelligent Systems Design and Applications, December 2018, Vellore, India, pp. 150-164.

[29] J. Tan, S. Dian, T. Zhao, “Further studies on stability and stabilization of T-S fuzzy systems with time-varying delays via fuzzy Lyapunov-Krasovskii functional method”, Asian Journal of Control, vol. 20, no. 6, pp. 2207-2222, 2018.

[30] D. Kharrat, H. Gassara, A. El Hajjaji, M. Chaabane, “Adaptive fuzzy observer-based fault-tolerant control for Takagi-Sugeno descriptor nonlinear systems with time delay”, Circuits, Systems, and Signal Processing, vol. 37, no. 4, pp. 1542-1561, 2018.

[31] S. Asadi, A. Khayatian, M. Dehghani, N. Vafamand, “Robust TS fuzzy-based sliding mode observer design for actuator fault reconstruction: Non-quadratic Lyapunov function approach”, Tabriz Journal of Electrical Engineering, vol. 49, no. 1, pp. 25-35, 2019 (in persian).

[32] R. Rajesh, M. R. Kaimal, “T-S fuzzy model with nonlinear consequence and PDC controller for a class of nonlinear control systems”, Applied Soft Computing, vol. 7, no. 3, pp. 772-782, 2007.

[33] J. Dong, Y. Wang, G. H. Yang, “Control synthesis of continuous-time TS fuzzy systems with local nonlinear models”, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 39, no. 5, pp. 1245-1258, 2009.

[34] J. Dong, Y. Wang, G. H. Yang, “Output feedback fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems”, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 40, no. 6, pp. 1447-1459, 2010.

[35] J. Dong, Y. Wang, G. H. Yang, “H_∞ and mixed H₂/ H_∞ control of discrete-time T-S fuzzy systems with local nonlinear models”, Fuzzy Sets and Systems, vol. 164, no. 1, pp. 1-24, 2011.

[36] H. Moodi, M. Farrokhi, “Robust observer-based controller design for Takagi-Sugeno systems with nonlinear consequent parts”, Fuzzy Sets and Systems, vol. 273, pp. 141-154, 2015.

[37] H. Moodi, A. Kazemy, “Robust controller design for Takagi-Sugeno systems with nonlinear consequent part and time delay”, International Journal of Fuzzy Systems, vol. 21, no. 3, pp. 745-754, 2019.

[38] H. Moodi, D. Bustan, “Wind turbine control using TS systems with nonlinear consequent parts”, Energy, vol. 172, pp. 922-931, 2019.

[39] H. Wang, D. Ye, G. H. Yang, “Actuator fault diagnosis for uncertain T-S fuzzy systems with local nonlinear models”, Nonlinear Dynamics, vol. 76, no. 4, pp. 1977-1988, 2014.

[40] J. Han, H. Zhang, Y. Wang, Y. Liu, “Disturbance observer based fault estimation and dynamic output feedback fault tolerant control for fuzzy systems with local nonlinear models”, ISA transactions, vol. 59, pp. 114-124, 2015.

[41] J. Han, H. Zhang, Y. Wang, X. Liu, “Robust fault estimation and accommodation for a class of T-S fuzzy systems with local nonlinear models”, Circuits, Systems, and Signal Processing, vol. 35, no. 10, pp. 3506-3530, 2016.

[42] M. Klug, E. B. Castelan, V. J. Leite, L. F. Silva, “Fuzzy dynamic output feedback control through nonlinear Takagi-Sugeno models”, Fuzzy Sets and Systems, vol. 263, pp. 92-111, 2015.

[43] S. Ochiai, J. Yoneyama, and Y. Uchida, “Guaranteed cost control design based on Takagi-Sugeno fuzzy systems with nonlinear subsystems”, In 2013 IEEE International Conference on Systems, Man, and Cybernetics, October 2013, Manchester, UK, pp. 4712-4717.

[44] J. Yoneyama, “Output feedback control design for nonlinear systems based on a generalized Takagi-Sugeno fuzzy system”, In 2014 World Automation Congress (WAC), August 2014, Waikoloa, HI, USA, pp. 313-318.

[45] J. Yoneyama, “Nonlinear control design based on generalized Takagi-Sugeno fuzzy systems”, Journal of the Franklin Institute, vol. 351, no. 7, pp. 3524-3535, 2014.

[46] K. Zhang, B. Jiang, M. Staroswiecki, “Dynamic output feedback-fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults”, IEEE Transactions on Fuzzy Systems, vol. 18, no. 1, pp. 194-201, 2010.

[47] J. Dong, J. Hou, “Output feedback fault-tolerant control by a set-theoretic description of T-S fuzzy systems”, Applied Mathematics and Computation, vol. 301, pp. 117-134, 2017.

[48] A. Navarbaf, M. J. Khosrowjerdi, “Fault-tolerant controller design with fault estimation capability for a class of nonlinear systems using generalized Takagi-Sugeno fuzzy model”, Transactions of the Institute of Measurement and Control, vol. 41, no. 15, pp. 4218-4229, 2019.

[49] H. D. Tuan, P. Apkarian, T. Narikiyo, Y. Yamamoto, “Parameterized linear matrix inequality techniques in fuzzy control system design”, IEEE Transactions on fuzzy systems, vol. 9, no. 2, pp. 324-332, 2001.

[50] Y. Wang, L. Xie, C. E. de Souza, “Robust control of a class of uncertain nonlinear systems”, Systems & Control Letters, vol. 19, no. 2, pp. 139-149, 1992.

[51] P. Gahinet, A. Nemirovskii, A. J. Laub, M. Chilali, “The LMI control toolbox”, In Proceedings of the 33rd IEEE Conference on Decision and Control, December 1994, Lake Buena Vista, FL, USA, pp. 2038-2041.

[53] J. Lofberg, “YALMIP: a toolbox for modeling and optimization in MATLAB”, In 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), September 2004, New Orleans, LA, USA, pp. 284-289.