Controlling of Fractional-order Permanent Magnet Synchronous Motor Based on Lyapunov Equation

2012 ◽  
Author(s):  
Qiong Shen ◽  
Shaojuan Ma
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Permanent Magnet Synchronous Motor ◽  
Lyapunov Equation ◽  
Synchronous Motor

Design of a fractional order adaptive controller for velocity control of a permanent magnet synchronous motor

2015 ◽  
Vol 34 (4) ◽  
pp. 1191-1212 ◽  
Author(s):  
Mohammad Tabatabaei
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Feedback Linearization ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Lyapunov Methods ◽  
Velocity Control ◽  
Adaptation Mechanism ◽  
Content Type ◽  
First Time

Purpose – The purpose of this paper is to present a two-loop approach for velocity control of a permanent magnet synchronous motor (PMSM) under mechanical uncertainties. Design/methodology/approach – The inner loop calculates the two-axis stator reference voltages through a feedback linearization method. The outer loop employs an RST control structure to compute the q-axis stator reference current. To increase the robustness of the proposed method, the RST controller parameters are adapted through a fractional order model reference adaptive system (FO-MRAS). The fractional order gradient and Lyapunov methods are utilized as adaptation mechanisms. Findings – The effect of the fractional order derivative in the load disturbance rejection, transient response speed and the robustness is verified through computer simulations. The simulation results show the effectiveness of the proposed method against the external torque and mechanical parameters uncertainties. Originality/value – The proposed FO-MRAS based on Lyapunov adaptation mechanism is proposed for the first time. Moreover, application of the FO-MRAS for velocity control of PMSM is presented for the first time.

scholarly journals Nonsingular Fast Terminal Sliding Mode Observer and Fractional-Order Software Phase-Locked Loop for Speed-Sensorless Control of Interior Permanent Magnet Synchronous Motor

2021 ◽  
Vol 25 (1) ◽  
pp. 83-89
Author(s):  
Kaihui Zhao ◽  
Ruirui Zhou ◽  
Jinhua She ◽  
Aojie Leng ◽  
Wangke Dai ◽  
...  
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Phase Locked Loop ◽  
Synchronous Motor ◽  
Sliding Mode Observer ◽  
Terminal Sliding Mode ◽  
Fast Terminal Sliding Mode ◽  
Interior Permanent Magnet

In this paper, a novel method is presented to improve the speed-sensorless control performance of an interior permanent magnet synchronous motor using a nonsingular fast terminal sliding-mode observer and fractional-order software phase-locked loop. The interior permanent magnet synchronous motor system is first described. Next, a nonsingular fast terminal sliding mode observer is constructed to estimate the d-q-axis back electromotive force. The speed and position of the rotor are then accurately tracked using a fractional-order software phase-locked loop. The effectiveness and feasibility are verified through a simulation in MATLAB/Simulink. The results show an excellent performance despite a fluctuation in speed and torque ripple.

scholarly journals Fractional order PID sliding mode control for speed regulation of permanent magnet synchronous motor

2021 ◽  
Vol 9 (3A) ◽  
Author(s):  
Fardila Mohd Zaihidee ◽  
◽  
Saad Mekhilef ◽  
Marizan Mubin ◽  
◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Fractional Order ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Sliding Surface ◽  
Speed Regulation ◽  
Speed Tracking ◽  
Fractional Order Pid

This paper proposed a fractional order PID sliding mode control (FOSMC-PID) for speed regulation of permanent magnet synchronous motor (PMSM). Fractional calculus has been incorporated in sliding mode controller (SMC) design to enhance chattering suppression ability. However, the design of fractional sliding surface is crucial to ensure that speed tracking accuracy is not jeopardized. The proposed controller is designed with a fractional order PID sliding surface, which balances the characteristics of sliding surface with PI or PD structure in terms of robustness and dynamic performance of the controller. By simulation, speed tracking is proven to be faster and more robust with the proposed controller compared to SMC with integer order. Both integration and derivative terms in the surface design outperform FOSMC-PI and FOSMC-PD in terms of disturbance rejection and chattering. Experimental validation proves the advantage of the proposed controller in terms of robustness.

Dynamics analysis of fractional-order permanent magnet synchronous motor and its DSP implementation

2019 ◽  
Vol 33 (06) ◽  
pp. 1950031 ◽  
Author(s):  
Dong Peng ◽  
Ke Hui Sun ◽  
Abdulaziz. O. A. Alamodi
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Digital Signal Processor ◽  
Permanent Magnet Synchronous Motor ◽  
Adomian Decomposition Method ◽  
Digital Signal ◽  
Accurate Method ◽  
Synchronous Motor ◽  
Computationally Efficient ◽  
Adomian Decomposition

In this paper, dynamics of the fractional-order permanent magnet synchronous motor (FOPMSM) model is investigated. The numerical solution of the FOPMSM system is derived based on Adomian decomposition method (ADM) that is a computationally efficient and high accurate method, and its dynamical behaviors are observed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectra (LEs), Poincaré section and chaos diagram based on spectral entropy (SE) complexity. Comparison with some reported studies, the simulation results show that it has more rich dynamical characteristics. The lowest order for the existence of chaos is 2.115 that demonstrated by 0–1 test, which is lower than that existing result (2.85). Finally, the FOPMSM system is implemented by digital signal processor (DSP), which verifies the correctness of the solution algorithm and the physical feasibility of this system. It indicates that the FOPMSM system has broad application prospect.

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