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Discrete-time event-triggered type-2 fuzzy wavelet neural network control for multi-motor servo system. (English) Zbl 07903629

Summary: This paper investigates a discrete-time event-triggered adaptive neural network control scheme for a multi-motor servo system (MMSS) to realize a desired position tracking performance. First, a discrete-time model of the MMSS, including a dead-zone and a nonlinear friction, is established based on the Euler’s discretization. Then, a discrete-time adaptive neural network controller is designed by integrating a type-2 fuzzy wavelet neural network (T2FWNN) and the backstepping technology. The neural network is not only used to estimate uncertain nonlinearities, but also can handle the non-causal problem caused by the conventional backstepping method. Meanwhile, a fixed threshold event-triggered mechanism along with the incorporation of a dead-zone operator is superimposed into the actual controller thus saving communicational resources. Besides, stability analysis proves that all the signals in the closed MMSS are bounded, and the position tracking error converges to a small neighborhood of the origin. Finally, abundant simulation experience results demonstrate the effectiveness and robustness of the proposed scheme.

MSC:

93C55 Discrete-time control/observation systems
93C65 Discrete event control/observation systems
93C42 Fuzzy control/observation systems
93C40 Adaptive control/observation systems
93B70 Networked control
Full Text: DOI

References:

[1] Ruderman, M.; Iwasaki, M., Sensorless Torsion Control of Elastic-Joint Robots With Hysteresis and Friction, IEEE Trans. Ind. Electron., 63, 1889-1899, 2016
[2] Liu, C.; Luo, G.; Chen, Z.; Tu, W.; Qiu, C., A linear ADRC-based robust high-dynamic double-loop servo system for aircraft electro-mechanical actuators, Chinese Journal of Aeronautics, 32, 2174-2187, 2019
[3] El-Sousy, F. F.M.; Abuhasel, K. A., Nonlinear robust optimal control via adaptive dynamic programming of permanent-magnet linear synchronous motor drive for uncertain two-axis motion control system, IEEE Trans. on Ind. Applicat., 56, 1940-1952, 2020
[4] Wang, M.; Ren, X.; Chen, Q., Cascade Optimal Control for Tracking and Synchronization of a Multimotor Driving System, IEEE Trans. Contr. Syst. Technol., 27, 1376-1384, 2019
[5] Shu, R.; Wei, J.; Tan, R.; Wu, X.; Fu, B., Investigation of dynamic and synchronization properties of a multi-motor driving system: Theoretical analysis and experiment, Mechanical Systems and Signal Processing, 153, Article 107496 pp., 2021
[6] Wang, M.; Ren, X.; Chen, Q., Robust tracking and distributed synchronization control of a multi-motor servomechanism with H-infinity performance, ISA Transactions, 72, 147-160, 2018
[7] Hu, S.; Ren, X.; Zheng, D., Integral predictor based prescribed performance control for multi-motor driving servo systems, Journal of the Franklin Institute, 359, 8910-8932, 2022 · Zbl 1501.93130
[8] Yang, X.; Wang, X.; Wang, S.; Wang, K.; Sial, M. B., Finite-time adaptive dynamic surface synchronization control for dual-motor servo systems with backlash and time-varying uncertainties, ISA Transactions, 2022, S0019057822006449
[9] Yu, J.; Shi, P.; Yu, H.; Chen, B.; Lin, C., Approximation-based discrete-time adaptive position tracking control for interior permanent magnet synchronous motors, IEEE Trans. Cybern., 45, 1363-1371, 2015
[10] Zhang, G.; Liu, J.; Liu, Z.; Yu, J.; Ma, Y., Adaptive fuzzy discrete-time fault-tolerant control for permanent magnet synchronous motors based on dynamic surface technology, Neurocomputing, 404, 145-153, 2020
[11] Zhang, C.-H.; Yang, G.-H., Event-triggered adaptive output feedback control for a class of uncertain nonlinear systems with actuator failures, IEEE Trans. Cybern., 50, 201-210, 2020
[12] Wang, M.; Wang, Z.; Chen, Y.; Sheng, W., Adaptive Neural Event-Triggered Control for Discrete-Time Strict-Feedback Nonlinear Systems, IEEE Trans. Cybern., 50, 2946-2958, 2020
[13] Luo, S.; Yang, G.; Li, J.; Ouakad, H. M., Dynamic analysis, circuit realization and accelerated adaptive backstepping control of the FO MEMS gyroscope, Chaos, Solitons & Fractals, 155, Article 111735 pp., 2022
[14] Luo, S.; Song, Y.; Lewis, F. L.; Garrappa, R.; Li, S., Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System, IEEE Trans. Fuzzy Syst., 1-13, 2022
[15] Li, F.; Luo, S.; Yang, G.; Ouakad, H. M., Dynamical analysis and accelerated adaptive backstepping funnel control for dual-mass MEMS gyroscope under event trigger, Chaos, Solitons & Fractals, 168, Article 113116 pp., 2023
[16] Zhang, S.; Luo, S.; He, S.; Ouakad, H. M., Analog circuit implementation and adaptive neural backstepping control of a network of four Duffing-type MEMS resonators with mechanical and electrostatic coupling, Chaos, Solitons & Fractals, 162, Article 112534 pp., 2022 · Zbl 1506.94108
[17] Luo, S.; Song, Y.; Lewis, F. L.; Garrappa, R., Neuroadaptive optimal fixed-time synchronization and its circuit realization for unidirectionally coupled FO self-sustained electromechanical seismograph systems, IEEE Trans. Cybern., 53, 2454-2466, 2023
[18] Sui, S.; Chen, C. L.P.; Tong, S., A novel adaptive NN prescribed performance control for stochastic nonlinear systems, IEEE Trans. Neural Netw. Learning Syst., 32, 3196-3205, 2021
[19] Mai, T.; Tran, H., An adaptive robust backstepping improved control scheme for mobile manipulators robot, ISA Transactions, 137, 446-456, 2023
[20] Wang, F.; Xie, X.; Lv, Z.; Zhou, C., Adaptive neural network fixed-time fault-tolerant control of an uncertain nonlinear system with full-state constraints, Information Sciences, 608, 858-880, 2022 · Zbl 1533.93386
[21] Yu, Q.; He, X.; Wu, L.; Guo, L., Finite-time command filtered event-triggered adaptive output feedback control for nonlinear systems with unknown dead-zone constraints, Information Sciences, 617, 482-497, 2022 · Zbl 1533.93703
[22] Zhang, Y.; Wang, F.; Yan, F., Fast finite time adaptive neural network control for a class of uncertain nonlinear systems subject to unmodeled dynamics, Information Sciences, 565, 306-325, 2021 · Zbl 1525.93207
[23] Feng, Z.; Li, R.-B.; Zheng, W. X., Event-based adaptive neural network asymptotic tracking control for a class of nonlinear systems, Information Sciences, 612, 481-495, 2022 · Zbl 1536.93539
[24] Cai, Z.; Huang, L.; Wang, Z., Particular-function-based preassigned-time stability of discontinuous system: novel control scheme for fuzzy neural networks, IEEE Trans. Fuzzy Syst., 31, 1020-1030, 2023
[25] Fei, J.; Liu, L., Real-time nonlinear model predictive control of active power filter using self-feedback recurrent fuzzy neural network estimator, IEEE Trans. Ind. Electron., 69, 8366-8376, 2022
[26] Yen, V. T.; Nan, W. Y.; Van Cuong, P., Recurrent fuzzy wavelet neural networks based on robust adaptive sliding mode control for industrial robot manipulators, Neural Comput & Applic, 31, 6945-6958, 2019
[27] Hou, R.; Wang, L.; Gao, Q.; Hou, Y.; Wang, C., Indirect adaptive fuzzy wavelet neural network with self- recurrent consequent part for AC servo system, ISA Transactions, 70, 298-307, 2017
[28] Zhao, W.; Ren, X.; Gao, X., Synchronization and tracking control for multi-motor driving servo systems with backlash and friction: synchronization and tracking control for multi-motor, Int. J. Robust. Nonlinear Control, 26, 2745-2766, 2016 · Zbl 1346.93205
[29] Li, Q.; Shen, B.; Wang, Z.; Huang, T.; Luo, J., Synchronization control for a class of discrete time-delay complex dynamical networks: a dynamic event-triggered approach, IEEE Trans. Cybern., 49, 1979-1986, 2019
[30] Liu, Y.-J.; Tong, S., Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems With Backlash, IEEE Trans. Fuzzy Syst., 22, 1359-1365, 2014
[31] Liu, Y.-J.; Gao, Y.; Tong, S.; Li, Y., Fuzzy approximation-based adaptive backstepping optimal control for a class of nonlinear discrete-time systems with dead-zone, IEEE Trans. Fuzzy Syst., 24, 16-28, 2016
[32] Xu, Y.; Liu, J.; Yu, J.; Wang, Q.-G., Adaptive Neural Networks Command Filtered Control for MIMO Nonlinear Discrete-Time Systems With Input Constraint, IEEE Trans. Circuits Syst., II, 70, 581-585, 2023
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