Abstract
This research focuses on the issue of adaptive fuzzy fault-tolerant position tracking for permanent magnet synchronous motors (PMSMs) subject to finite-time prescribed performance. An improved finite-time prescribed performance control strategy, in which unknown nonlinear functions can be tackled via fuzzy logic systems (FLSs), is presented via incorporating the approach of prescribed performance control with the technique of command filter. In addition, the command filtered method is utilized to conquer the ‘explosion of complexity’ emerged in the classic backstepping method and the error compensation mechanism is adopted to diminish the error generated by filtering process. Further, the impact of actuator failures is dealt with based on fault-tolerant control. It is proven that the designed controllers not only assure the semi-global boundedness of all the controlled system signals, but also make the output tracking error is preserved in a specified prescribed performance within a finite-time interval. Finally, simulation results are supplied to display the significance and potential of the proposed control technique.













Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Data availability
Data sharing is not applicable to this article as no new data were created or analysed in this study.
References
Wu, L., Zheng, W.X., Gao, H.: Dissipativity-based sliding mode control of switched stochastic systems. IEEE Trans. Autom. Control 58(3), 785–791 (2013)
Barambones, O., Alkorta, P.: Position control of the induction motor using an adaptive sliding-mode controller and observers. IEEE Trans. Industrial Electron. 61(12), 6556–6565 (2014)
Wei, Y., Chen, Y., Liang, S., Wang, Y.: A novel algorithm on adaptive backstepping control of fractional order systems. Neurocomputing 165, 395–402 (2015)
Zhou, J., Wen, C., Wang, W., Yang, F.: Adaptive backstepping control of nonlinear uncertain systems with quantized states. IEEE Trans. Autom. Control 64(11), 4756–4763 (2019)
Zhou, S., Feng, G., Feng, C.B.: Robust control for a class of uncertain nonlinear systems: adaptive fuzzy approach based on backstepping. Fuzzy Sets Syst. 151(1), 1–20 (2005)
Xing, L., Wen, C., Su, H., Liu, Z., Cai, J.: Robust control for a class of uncertain nonlinear systems with input quantization. Int. J. Robust Nonlinear Control 26(8), 1585–1596 (2016)
Yu, J., Chen, B., Yu, H., Gao, J.: Adaptive fuzzy tracking control for the chaotic permanent magnet synchronous motor drive system via backstepping. Nonlinear Anal.: Real World Appl. 12(1), 671–681 (2011)
Yu, J., Shi, P., Dong, W., Chen, B., Lin, C.: Neural network-based adaptive dynamic surface control for permanent magnet synchronous motors. IEEE Trans. Neural Netw. Learn. Syst. 26(3), 640–645 (2015)
Yang, X., Yu, J., Wang, Q.G., Zhao, L., Yu, H., Lin, C.: Adaptive fuzzy finite-time command filtered tracking control for permanent magnet synchronous motors. Neurocomputing 337, 110–119 (2019)
Lu, S., Wang, X., Li, Y.: Adaptive neural network finite-time command filtered tracking control of fractional-order permanent magnet synchronous motor with input saturation. J. Franklin Inst. 357(18), 13707–13733 (2020)
Zou, M., Yu, J., Ma, Y., Zhao, L., Lin, C.: Command filtering-based adaptive fuzzy control for permanent magnet synchronous motors with full-state constraints. Inf. Sci. 518, 1–12 (2020)
Ding, L., Wang, W., Yu, Y.: Finite-time adaptive NN control for permanent magnet synchronous motors with full-state constraints. Neurocomputing 449, 435–442 (2021)
Yue, H., Wang, H., Wang, Y.: Adaptive fuzzy fixed-time tracking control for permanent magnet synchronous motor. Int. J. Robust Nonlinear Control 32(5), 3078–3095 (2022)
Ma, L., Zhu, F., Zhao, X.: Human-in-the-loop consensus control for multiagent systems with external disturbances. IEEE Trans. Neural Netw. Learn. Syst. (2023). https://doi.org/10.1109/TNNLS.2023.3246567
Ma, L., Zhu, F., Zhao, X.: Human-in-the-loop formation-containment control for multiagent systems: an observer-based distributed unknown input reconstruction method. IEEE Trans. Neural Netw. Learn. Syst. (2023). https://doi.org/10.1109/TCNS.2023.3269010
Cui, D., Ahn, C.K., Xiang, Z.: Fault-tolerant fuzzy observer-based fixed-time tracking control for nonlinear switched systems. IEEE Trans. Fuzzy Syst. (2023). https://doi.org/10.1109/TFUZZ.2023.3284917
Cui, D., Zou, W., Guo, J., Xiang, Z.: Adaptive fault-tolerant decentralized tracking control of switched stochastic uncertain nonlinear systems with time-varying delay. Int. J. Adaptive Control Signal Process. 36(12), 2971–2987 (2022)
Zhang, T.P., Ge, S.S.: Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica 44(7), 1895–1903 (2008)
Liu, H., Pan, Y., Cao, J.: Composite learning adaptive dynamic surface control of fractional-order nonlinear systems. IEEE Trans. Cybern. 50(6), 2557–2567 (2019)
Ma, H., Liang, H., Zhou, Q., Ahn, C.K.: Adaptive dynamic surface control design for uncertain nonlinear strict-feedback systems with unknown control direction and disturbances. IEEE Trans. Syst. Man Cybern.: Syst. 49(3), 506–515 (2018)
Ling, S., Wang, H., Liu, P.X.: Adaptive fuzzy dynamic surface control of flexible-joint robot systems with input saturation. IEEE/CAA J. Automatica Sinica 6(1), 97–107 (2019)
Farrell, J.A., Polycarpou, M., Sharma, M., Dong, W.: Command filtered backstepping. IEEE Trans. Autom. Control 54(6), 1391–1395 (2009)
Dong, W., Farrell, J.A., Polycarpou, M.M., Djapic, V., Sharma, M.: Command filtered adaptive backstepping. IEEE Trans. Control Syst. Technol. 20(3), 566–580 (2012)
Zhang, H., Liu, Y., Dai, J., Wang, Y.: Command filtered backstepping, Command filter based adaptive fuzzy finite-time control for a class of uncertain nonlinear systems with hysteresis. IEEE Trans. Fuzzy Syst. 29(9), 2553–2564 (2019)
Ling, S., Wang, H., Liu, P.X.: Adaptive fuzzy tracking control of flexible-joint robots based on command filtering. IEEE Trans. Ind. Electron. 67(5), 4046–4055 (2020)
Xin, C., Li, Y.X., Ahn, C.K.: Adaptive neural asymptotic tracking of uncertain non-strict feedback systems with full-state constraints via command filtered technique. IEEE Tran. Neural Netw. Learn. Syst. (2022). https://doi.org/10.1109/TNNLS.2022.3141091
Wang, H., Kang, S., Zhao, X., Xu, N., Li, T.: Command filter-based adaptive neural control design for nonstrict-feedback nonlinear systems with multiple actuator constraints. IEEE Trans. Cybern. 52(11), 12561–12570 (2022)
Kang, S., Liu, P.X., Wang, H.: Finite-time command filter-based adaptive fuzzy tracking control for stochastic nonlinear induction motors systems with unknown backlash-like hysteresis. J. Franklin Inst. 359(15), 7936–7960 (2022)
Wang, H., Kang, S., Feng, Z.: Finite-time adaptive fuzzy command filtered backstepping control for a class of nonlinear systems. Int. J. Fuzzy Syst. 21, 2575–2587 (2019)
Bechlioulis C. P., Rovithakis G. A.: Prescribed performance adaptive control of SISO feedback linearizable systems with disturbance. In: 16th Mediterranean Conference on Control and Automation. 1035-1040 (2008)
Xia, X., Zhang, T., Yi, Y., Shen, Q.: Adaptive prescribed performance control of output feedback systems including input unmodeled dynamics. Neurocomputing 190, 226–236 (2016)
Cui, G., Yu, J., Shi, P.: Observer-based finite-time adaptive fuzzy control with prescribed performance for nonstrict-feedback nonlinear systems. IEEE Trans. Fuzzy Syst. 30(3), 767–778 (2020)
Ma, H., Zhou, Q., Li, H., Lu, R.: Adaptive prescribed performance control of a flexible-joint robotic manipulator with dynamic uncertainties. IEEE Trans. Cybern. 52(12), 12905–12915 (2022)
Sun, W., Su, S.F., Xia, J., Zhuang, G.: Command filter-based adaptive prescribed performance tracking control for stochastic uncertain nonlinear systems. IEEE Trans. Syst. Man Cybern.: Syst. 51(10), 6555–6563 (2021)
Shao, X., Tong, S.: Adaptive prescribed performance decentralized control for stochastic nonlinear large-scale systems. Int. J. Adaptive Control Signal Process. 32(12), 1782–1800 (2018)
Liu, Y., Liu, X., Jing, Y., Zhang, Z.: A novel finite-time adaptive fuzzy tracking control scheme for nonstrict feedback systems. IEEE Trans. Fuzzy Syst. 27(4), 646–658 (2019)
Sui, S., Tong, S.: Finite-time fuzzy adaptive PPC for nonstrict-feedback nonlinear MIMO systems. IEEE Transactions on Cybernetics. 53(2), 732–742 (2023)
Liu, Y., Liu, X., Jing, Y.: Adaptive neural networks finite-time tracking control for non-strict feedback systems via prescribed performance. Inf. Sci. 468, 29–46 (2018)
Chen, M., Tao, G.: Adaptive fault-tolerant control of uncertain nonlinear large-scale systems with unknown dead zone. IEEE Trans. Cybern. 48(6), 1851–1862 (2016)
Cui, D., Niu, B., Wang, H., Yang, D.: Adaptive fuzzy output-feedback fault-tolerant tracking control of a class of uncertain nonlinear switched systems. Int. J. Syst. Sci. 50(14), 2673–2686 (2019)
Bai, W., Wang, H.: Robust adaptive fault-tolerant tracking control for a class of high-order nonlinear system with finite-time prescribed performance. Int. J. Robust Nonlinear Control 30(12), 4708–4725 (2020)
Wu, C., Liu, J., Xiong, Y., Wu, L.: Observer-based adaptive fault-tolerant tracking control of nonlinear nonstrict-feedback systems. IEEE Trans. Neural Netw. Learn. Syst. 29(7), 3022–3033 (2018)
Li, Y.X., Yang, G.H.: Adaptive fuzzy decentralized control for a class of large-scale nonlinear systems with actuator faults and unknown dead zones. IEEE Trans. Syst. Man Cybern.: Syst. 45(7), 1–12 (2017)
Wang, H., Shen, L., Wang, D., Niu, B., Zhao, X.: Fast finite-time adaptive neural fault-tolerant tracking control for multi-input multi-output systems with full-state constraints. Int. J. Adaptive Control Signal Process. 36(9), 2269–2288 (2021)
Bai, W., Liu, P.X., Wang, H., Chen, M.: Adaptive finite-time control for nonlinear multi-agent high-order systems with actuator faults. Int. J. Syst. Sci. 53(11), 2437–2460 (2022)
Xu, Y., Tong, S., Li, Y.: Prescribed performance fuzzy adaptive fault-tolerant control of non-linear systems with actuator faults. IET Control Theory Appl. 8(6), 420–431 (2014)
Han, Y., Yu, J., Zhao, L., Yu, H., Lin, C.: Finite-time adaptive fuzzy control for induction motors with input saturation based on command filtering. IET Control Theory Appl. 12(15), 2148–2155 (2018)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Kang, S., Liu, P.X. & Wang, H. Finite-Time Prescribed Performance-Based Adaptive Fuzzy Command Filtering Control for Permanent Magnet Synchronous Motors with Actuator Faults. Int. J. Fuzzy Syst. 26, 1827–1839 (2024). https://doi.org/10.1007/s40815-024-01705-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40815-024-01705-3