Adaptive neural network finite-time command filtered tracking control of fractional-order permanent magnet synchronous motor with input saturation

Abstract In this paper, the finite-time position tracking control for the fractional-order permanent magnet synchronous motor with input saturation, load disturbance and parameter uncertainties is considered. Based on the command filtered backstepping method, a novel adaptive neural network finite-time controller is presented. First, the neural network is introduced to approximate the uncertain function. Then, by using a command filter at the output side of the virtual signal, the issue of “explosion of complexity” is avoided. In addition, an adaptive law is applied to eliminate the approximation error and filtering error. Meanwhile, by utilizing the terminal sliding mode control technique, the finite-time signal tracking is achieved. Furthermore, an auxiliary design system is constructed to cope with the input saturation constraint. The proposed scheme not only possesses the superiorities of the classical command filtered backstepping, but also holds quick finite-time convergence property. Numerical simulations and experiment results are included to reveal the validity of the proposed design.

[1]  Jing Liu,et al.  Integrated Position and Speed Loops Under Sliding-Mode Control Optimized by Differential Evolution Algorithm for PMSM Drives , 2019, IEEE Transactions on Power Electronics.

[2]  Junkang Ni,et al.  Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems , 2017, Nonlinear Dynamics.

[3]  Okyay Kaynak,et al.  Optimal Design of a Fractional-Order Proportional-Integer-Differential Controller for a Pneumatic Position Servo System , 2019, IEEE Transactions on Industrial Electronics.

[4]  Igor Podlubny,et al.  Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..

[5]  Wei Hu,et al.  A hybrid artificial bee colony algorithm for parameter identification of uncertain fractional-order chaotic systems , 2015, Nonlinear Dynamics.

[6]  Seyed Mohammad Ali Mohammadi,et al.  Observer-based fractional-order adaptive type-2 fuzzy backstepping control of uncertain nonlinear MIMO systems with unknown dead-zone , 2019, Nonlinear Dynamics.

[7]  Nooshin Bigdeli,et al.  Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems , 2017, J. Frankl. Inst..

[8]  V. Parra-Vega,et al.  Fractional-Order Control for Robust Position/Yaw Tracking of Quadrotors With Experiments , 2019, IEEE Transactions on Control Systems Technology.

[9]  P. Tse,et al.  Adaptive backstepping output feedback control for a class of nonlinear fractional order systems , 2016 .

[10]  Yuan-Xin Li,et al.  Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems , 2019, Autom..

[11]  Zenghui Wang,et al.  Chaotic behavior and circuit implementation of a fractional-order permanent magnet synchronous motor model , 2015, J. Frankl. Inst..

[12]  Xudong Zhao,et al.  Adaptive Neural Backstepping Control Design for A Class of Nonsmooth Nonlinear Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Bin Wang,et al.  Robust finite-time control of fractional-order nonlinear systems via frequency distributed model , 2016 .

[14]  Fuad E. Alsaadi,et al.  Adaptive Neural-Network-Based Dynamic Surface Control for Stochastic Interconnected Nonlinear Nonstrict-Feedback Systems With Dead Zone , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  R. Wu,et al.  Adaptive sliding-mode control for fractional-order uncertain linear systems with nonlinear disturbances , 2015 .

[16]  Bing Chen,et al.  Neural Network-Based Adaptive Dynamic Surface Control for Permanent Magnet Synchronous Motors , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Yong Wang,et al.  Observer-based adaptive backstepping control for fractional order systems with input saturation. , 2017, ISA transactions.

[18]  Shaobo Li,et al.  Observer-based adaptive stabilization of the fractional-order chaotic MEMS resonator , 2018 .

[19]  Shuzhi Sam Ge,et al.  Optimized Backstepping for Tracking Control of Strict-Feedback Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[20]  Xiaona Song,et al.  Adaptive neuro-fuzzy backstepping dynamic surface control for uncertain fractional-order nonlinear systems , 2019, Neurocomputing.

[21]  Choon Ki Ahn,et al.  Fault-Tolerant Resilient Control For Fuzzy Fractional Order Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[22]  Lin Zhao,et al.  Adaptive fuzzy finite-time command filtered tracking control for permanent magnet synchronous motors , 2019, Neurocomputing.

[23]  Mohammad Javad Khosrowjerdi,et al.  Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach , 2019, Journal of Computational and Nonlinear Dynamics.

[24]  Hicham Chaoui,et al.  Adaptive Interval Type-2 Fuzzy Logic Control for PMSM Drives With a Modified Reference Frame , 2017, IEEE Transactions on Industrial Electronics.

[25]  Jinde Cao,et al.  Neuro-adaptive tracking control of non-integer order systems with input nonlinearities and time-varying output constraints , 2019, Inf. Sci..

[26]  Bin Wang,et al.  Finite‐time control for a fractional‐order non‐linear HTGS , 2019, IET Renewable Power Generation.

[27]  Shaocheng Tong,et al.  Adaptive fuzzy tracking control design for permanent magnet synchronous motors with output constraint , 2016, Nonlinear Dynamics.

[28]  Chong Lin,et al.  Adaptive Fuzzy Control of Nonlinear Systems With Unknown Dead Zones Based on Command Filtering , 2018, IEEE Transactions on Fuzzy Systems.

[29]  Ruizhen Gao,et al.  Chaos control of the permanent magnet synchronous motor with time-varying delay by using adaptive sliding mode control based on DSC , 2018, J. Frankl. Inst..

[30]  Hongjing Liang,et al.  Adaptive Dynamic Surface Control Design for Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Direction and Disturbances , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Young-Hoon Joo,et al.  Adaptive Fractional Fuzzy Integral Sliding Mode Control for PMSM Model , 2019, IEEE Transactions on Fuzzy Systems.

[32]  Jianjun Hu,et al.  Anti-oscillation and chaos control of the fractional-order brushless DC motor system via adaptive echo state networks , 2018, J. Frankl. Inst..

[33]  Peng Shi,et al.  Finite-time command filtered backstepping control for a class of nonlinear systems , 2018, Autom..

[34]  Baoli Ma,et al.  Asymptotic Stabilization of Fractional Permanent Magnet Synchronous Motor , 2018 .

[35]  Chong Lin,et al.  Adaptive Neural Command Filtering Control for Nonlinear MIMO Systems With Saturation Input and Unknown Control Direction , 2020, IEEE Transactions on Cybernetics.

[36]  Mohammad Pourmahmood Aghababa,et al.  Stabilization of a class of fractional-order chaotic systems using a non-smooth control methodology , 2017 .

[37]  Lijie Wang,et al.  Adaptive Fuzzy Control for Nonstrict-Feedback Systems With Input Saturation and Output Constraint , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[38]  Yongping Pan,et al.  Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  Guangzhao Luo,et al.  Predictive Cascaded Speed and Current Control for PMSM Drives With Multi-Timescale Optimization , 2019, IEEE Transactions on Power Electronics.

[40]  Chong Lin,et al.  Command Filtering-Based Fuzzy Control for Nonlinear Systems With Saturation Input , 2017, IEEE Transactions on Cybernetics.

[41]  Lin Zhao,et al.  Fuzzy Finite-Time Command Filtered Control of Nonlinear Systems With Input Saturation , 2018, IEEE Transactions on Cybernetics.

[42]  Choon Ki Ahn,et al.  Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[43]  Marko Tanaskovic,et al.  Sensorless Position Estimation for Slotless Surface Mounted Permanent Magnet Synchronous Motors in Full Speed Range , 2019, IEEE Transactions on Power Electronics.