209
Views
9
CrossRef citations to date
0
Altmetric
Articles

Adaptive fuzzy output-feedback fault-tolerant tracking control of a class of uncertain nonlinear switched systems

, ORCID Icon, &
Pages 2673-2686 | Received 17 Dec 2018, Accepted 18 Sep 2019, Published online: 11 Oct 2019

References

  • Cao, L., Zhou, Q., Dong, G. W., & Li, H. Y. (2019). Observer-based adaptive event-triggered control for nonstrict-feedback nonlinear systems with output constraint and actuator failures. IEEE Transactions on Systems, Man, and Cybernetics: Systems. doi:10.1109/tsmc.2019.2895858
  • Chen, M., & Tao, G. (2016). Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone. IEEE Transactions on Cybernetics, 46(8), 1851–1862. doi: 10.1109/TCYB.2015.2456028
  • Cui, M. Y., Wu, Z. -J., Xie, X. J., & Shi, P. (2013). Modeling and adaptive tracking for a class of stochastic Lagrangian control systems. Automatica, 49(3), 770–779. doi: 10.1016/j.automatica.2012.11.013
  • Du, P., Liang, H., Zhao, S., & Ahn, C. K. (2019). Neural-based decentralized adaptive finite-time control for nonlinear large-scale systems with time-varying output constraints. IEEE Transactions on Systems, Man and Cybernetics: Systems. doi:10.1109/TSMC.2019.2918351
  • Hespanha, J. P., & Morse, A. S. (1999). Stability of switched systems with average dwell-time. Proceedings of the 38th IEEE conference on Decision and Control, Phoenix, AZ (pp. 2655–2660).
  • Hou, Y. X., & Tong, S. (2015). Adaptive fuzzy output-feedback control for a class of nonlinear switched systems with unmodeled dynamics. Neurocomputing, 168(2), 200–209. doi: 10.1016/j.neucom.2015.05.106
  • Hua, C., Li, Y., Wang, H., & Guan, X. (2015). Decentralised fault-tolerant finite-time control for a class of interconnected non-linear systems. IET Control Theory & Applications, 9(16), 2331–2339. doi: 10.1049/iet-cta.2014.1264
  • Huang, J., Yu, L., & Chen, L. (2018). Control design for stochastic one-sided Lipschitz differential inclusion system with time delay. International Journal of Systems Science, 49(14), 2923–2939. doi: 10.1080/00207721.2018.1528406
  • Huang, J., Zhang, W., Shi, M., Chen, L., & Yu, L. (2017). H∞ observer design for singular one-sided Lur'e differential inclusion system. Journal of the Franklin Institute, 354(8), 3305–3321. doi: 10.1016/j.jfranklin.2017.02.030
  • Jiang, H., Zhang, H., Luo, Y., & Cui, X. (2017). H∞ control with constrained input for completely unknown nonlinear systems using data-driven reinforcement learning method. Neurocomputing, 237, 226–234. doi: 10.1016/j.neucom.2016.11.041
  • Jiang, H., Zhang, H. G., Luo, Y. H., & Han, J. (2018). Neural-network-based robust control schemes for nonlinear multiplayer systems with uncertainties via adaptive dynamic programming. IEEE Transactions on Systems Man & Cybernetics Systems, 9(3), 579–588. doi: 10.1109/TSMC.2018.2810117
  • Khalil, H. K. (2002). Nonlinear systems (3rd ed.). Englewood Cliffs, NJ: Prentice-Hall.
  • Krstic, M., Kokotovic, P. V., & Kanellakopoulos, I. (1995). Nonlinear and adaptive control design. New York, NY: Wiley.
  • Li, Y., Ma, Z. Y., & Tong, S. (2018). Adaptive fuzzy fault-tolerant control of non-triangular structure nonlinear systems with error-constraint. IEEE Transactions on Fuzzy Systems, 26(4), 2062–2074. doi: 10.1109/TFUZZ.2017.2761323
  • Li, Y. M., Sun, K. K., & Tong, S. C. (2018). Adaptive fuzzy robust fault-tolerant optimal control for nonlinear large-scale systems. IEEE Transactions on Fuzzy Systems, 26(5), 2899–2914. doi: 10.1109/TFUZZ.2017.2787128
  • Li, Y. M., Sun, K. K., & Tong, S. C. (2019). Observer-based adaptive fuzzy fault-tolerant optimal control for SISO nonlinear systems. IEEE Transactions on Cybernetics, 49(2), 649–661. doi: 10.1109/TCYB.2017.2785801
  • Li, Y. K., Sun, H. B., Zong, G. D., & Hou, L. L. (2016). DOBC and L2−L∞ resilient control for Markovian jump non-linear systems with multiple disturbances and its application to single robot arm system. IET Control Theory & Applications, 10(2), 226–233. doi: 10.1049/iet-cta.2015.0430
  • Li, Y., & Tong, S. (2017). Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrict-feedback nonlinear systems. IEEE Transactions on Cybernetics, 47(4), 1007–1016. doi: 10.1109/TCYB.2016.2536628
  • Li, Y. M., & Tong, S. (2016). Adaptive fuzzy output-feedback control for switched nonlinear systems with arbitrary switchings. Circuits Systems & Signal Processing, 35(9), 3152–3171. doi: 10.1007/s00034-015-0196-0
  • Li, X. J., & Yang, G. H. (2017a). Adaptive decentralized control for a class of interconnected nonlinear systems via backstepping approach and graph theory. Automatica, 76, 87–95. doi: 10.1016/j.automatica.2016.10.019
  • Li, X. J., & Yang, G. H. (2018). Neural-network-based adaptive decentralized fault-tolerant control for a class of interconnected nonlinear systems. IEEE Transactions on Neural Networks and Learning Systems, 29(1), 144–155.
  • Li, Y. X., & Yang, G. H. (2016). Fuzzy adaptive output feedback fault-tolerant tracking control of a class of uncertain nonlinear systems with nonaffine nonlinear faults. IEEE Transactions on Fuzzy Systems, 24(1), 223–234.
  • Li, Y. X., & Yang, G. H. (2017b). Adaptive asymptotic tracking control of uncertain nonlinear systems with input quantization and actuator faults. Automatica, 72, 177–185.
  • Liang, J., Ying, R. C., Wang, M., & Jun, F. (2015). Global finite-time stabilisation of a class of switched nonlinear systems. International Journal of Systems Science, 46(16), 2897–2904.
  • Liang, H., Zhang, Z., & Ahn, C. K. (2019). Event-triggered fault detection and isolation of discrete-time systems based on geometric technique. IEEE Transactions on Circuits and Systems II: Express Briefs. doi:10.1109/TCSII.2019.2912846
  • Liberzon, D. (2003). Switching in systems and control. Boston: Birkhäuser.
  • Lin, H., & Antsaklis, P. J. (2009). Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Transactions on Automatic Control, 54(2), 308–322.
  • Long, L. J., & Zhan, J. (2015). Decentralized adaptive fuzzy output feedback control of switched large-scale nonlinear systems. IEEE Transactions on Fuzzy Systems, 23(5), 1844–1860.
  • Long, L. J., & Zhao, J. (2014). A small-gain theorem for switched interconnected nonlinear systems and its applications. IEEE Transactions on Automatic Control, 59(4), 1082–1088.
  • Long, L. J., & Zhao, J. (2015). Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems. Fuzzy Sets and Systems, 273(15), 49–67.
  • Ma, R. C., Zhao, J., & Dimirovski, G. (2013). Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form. International Journal of Systems Science, 44(4), 615–624.
  • Schwartz, C. A., Carla, A., & Maben, E. (1997). A minimum energy approach to switching control for mechanical systems. In A. S. Morse (Ed.), Control using logic-based switching (Lecture Notes in Control and Information Sciences, Vol. 222, pp. 142–150). Berlin: Springer.
  • Su, C. Y., & Stepanenko, Y. (1994). Adaptive control of a class of nonlinear systems with fuzzy logic. IEEE Transactions on Fuzzy Systems, 2(4), 285–294.
  • Sui, S., Chen, C. L. P., & Tong, S. C. (2019a). Fuzzy adaptive finite-time control design for nontriangular stochasticnonlinear systems. IEEE Transactions on Fuzzy Systems, 27(1), 172–184.
  • Sui, S., Chen, C. L. P., & Tong, S. C. (2019b). Neural networkfiltering control design for nontriangular structure switched nonlinear systems in finite time. IEEE Transactions on Neural Networks and Learning Systems, 30(7), 2153–2162.
  • Sui, S., Tong, S. C., & Chen, C. L. P. (2018). Finite-time filter decentralized control for nonstrict-feedback nonlinear large-scale systems. IEEE Transactions on Fuzzy Systems, 25(6), 3289–3300.
  • Sun, X. M., Liu, G. P., Rees, D., & Wang, W. (2008). Delay-dependent stability for discrete systems with large delay sequence based on switching techniques. Automatica, 44(11), 2902–2908.
  • Sun, X. M., & Wang, W. (2012). Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics. Automatica, 48(9), 2359–2364.
  • Sun, X. M., Wu, D., Liu, G. P., & Wang, W. (2014). Input-to-state stability for networked predictive control with random delays in both feedback and forward channels. IEEE Transactions on Industrial Electronics, 61(7), 3519–3526.
  • Tang, X. D., Tao, G., & Joshi, S. M. (2003). Adaptive actuator failure compensation for parametric strict feedback systems and an aircraft application. Automatica, 39(11), 1975–1982.
  • Tong, S. C., Chen, B., & Wang, Y. (2005). Fuzzy adaptive output feedback control for MIMO nonlinear systems. Fuzzy Sets and Systems, 156(2), 285–299.
  • Tong, S. C., Huo, B. Y., & Li, Y. M. (2014). Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Transactions on Fuzzy Systems, 22(1), 1–15.
  • Tong, S. C., Li, C., & Li, Y. (2009). Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets & Systems, 160(19), 2755–2775.
  • Tong, S. C., & Li, Y. M. (2013). Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics. IEEE Transactions on Fuzzy Systems, 22(3), 563–574.
  • Tong, S. C., Liu, C., & Li, Y. (2010). Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties. IEEE Transactions on Fuzzy Systems, 18(5), 845–861.
  • Wang, D. D., Gao, L. J., & Zong, G. D. (2015). Input-to-state stability of impulsive switched hybrid time-delay systems with delayed impulse effects. Transactions of the Institute of Measurement and Control, 37(8), 970–982. doi: 10.1177/0142331214551401
  • Wang, H. Q., Liu, K. F., Liu, X. P., Chen, B., & Lin, C. (2015). Neural-based adaptive output-feedback control for a class of nonstrict-feedback stochastic nonlinear systems. IEEE Transactions on Cybernetics, 45(9), 1977–1987. doi: 10.1109/TCYB.2014.2363073
  • Wang, L. X., & Mendel, J. M. (1992). Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. IEEE Transactions on Neural Networks, 3(5), 807–814. doi: 10.1109/72.159070
  • Wang, X. S., Su, C. Y., & Hong, H. (2004). Robust adaptive control of a class of nonlinear systems with unknown dead-zone. Automatica, 40(3), 407–413. doi: 10.1016/j.automatica.2003.10.021
  • Wang, Y. E., Sun, X. M., Wang, Z., & Zhao, J. (2014). Construction of Lyapunov-Krasovskii functionals for switched nonlinear systems with input delay. Automatica, 50(4), 1249–1253. doi: 10.1016/j.automatica.2014.02.029
  • Wang, W., & Wen, C. (2010). Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance. Automatica, 46(12), 2082–2091. doi: 10.1016/j.automatica.2010.09.006
  • Wang, X. H., Zong, G. D., & Sun, H. B. (2016). Asynchronous finite-time dynamic output feedback control for switched time-delay systems with nonlinear disturbance. IET Control Theory & Applications, 10(10), 1142–1150. doi: 10.1049/iet-cta.2015.0577
  • Wu, Z. J., Xie, X. J., & Zhang, S. Y. (2007). Adaptive backstepping controller design using stochastic small-gain theorem. Automatica, 43(4), 608–620. doi: 10.1016/j.automatica.2006.10.020
  • Xie, X. J., & Tian, J. (2009). Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 45(1), 126–133. doi: 10.1016/j.automatica.2008.10.006
  • Yang, Y. S., & Zhou, C. (2005). Robust adaptive control of uncertain nonlinear systems using fuzzy logic systems. Proceedings of the 2005 IEEE international symposium on, Mediterrean Conference on Control and Automation Intelligent Control, Limassol, Cyprus. IEEE. doi:10.1109/.2005.1466990
  • Yao, B., & Tomizuka, M. (1997). Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form. Automatica, 33(5), 893–900. doi: 10.1016/S0005-1098(96)00222-1
  • Ye, X. D., & Jiang, J. (1998). Adaptive nonlinear design without a priori knowledge of control directions. IEEE Transactions on Automatic Control, 43(11), 1617–1621. doi: 10.1109/9.728882
  • Yu, X. W., & Lin, Y. (2017). Adaptive backstepping quantized control for a class of nonlinear systems. IEEE Transactions on Automatic Control, 62(2), 981–985. doi: 10.1109/TAC.2016.2570140
  • Yu, X., Xie, X. J., & Wu, Y. Q. (2011). Decentralized adaptive output-feedback control for stochastic interconnected systems with stochastic unmodeled dynamic interactions. International Journal of Adaptive Control and Signal Processing, 25(8), 740–757. doi: 10.1002/acs.1240
  • Yu, L., Zhang, M. Q., & Fei, S. M. (2013). Nonlinear adaptive sliding mode switching control with average dwell-time. International Journal of Systems Science, 44(3), 471–478. doi: 10.1080/00207721.2011.604739
  • Zhang, L., Liang, H., Sun, Y., & Ahn, C. K. (2019). Adaptive event-triggered fault detection for semi-Markovian jump systems with output quantization. IEEE Transactions on Systems, Man and Cybernetics: Systems. doi:10.1109/TSMC.2019.2912846
  • Zhao, X. D., Zheng, X., Niu, B., & Liu, L. (2015). Adaptive tracking control for a class of uncertain switched nonlinear systems. Automatica, 52, 185–191. doi: 10.1016/j.automatica.2014.11.019
  • Zhou, Q., Shi, P., Lu, J., & Xu, S. (2011). Adaptive output-feedback fuzzy tracking control for a class of nonlinearsystems. IEEE Transactions on Fuzzy Systems, 19(5), 972–982. doi: 10.1109/TFUZZ.2011.2158652
  • Zhou, J., Wen, C., & Yang, G. (2014). Adaptive backstepping stabilization of nonlinear uncertain systems with quantized input signal. IEEE Transactions on Automatic Control, 59(2), 460–464. doi: 10.1109/TAC.2013.2270870
  • Zong, G. D., Ren, H. L., & Hou, L. L. (2016). Finite-time stability of interconnected impulsive switched systems. IET Control Theory & Applications, 16(6), 648–654. doi: 10.1049/iet-cta.2015.0617
  • Zong, G. D., Wang, R. H., Zheng, W. X., & Hou, L. L. (2015). Finite-time H∞ control for discrete-time switched nonlinear systems with time delay. International Journal of Robust and Nonlinear Control, 25(6), 914–936. doi: 10.1002/rnc.3121
  • Zou, A. M., Hou, Z. G., & Tan, M. (2008). Adaptive control of a class of nonlinear pure-feedback systems using fuzzy backstepping approach. IEEE Transactions on Fuzzy Systems, 16(4), 886–897. doi: 10.1109/TFUZZ.2008.917301

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.