Control of a Permanent Magnet Synchronous Motor Using a Second-Order Non-Linear Trajectory Smoother

2005 ◽  
Vol 219 (8) ◽  
pp. 565-575 ◽  
Author(s):  
K M Tsang ◽  
J Wang
Keyword(s):  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Experimental Studies ◽  
Variable Structure ◽  
Second Order ◽  
Linear Trajectory ◽  
System Parameters ◽  
Variable Structure System ◽  
Non Linear ◽  
Load Conditions

A second-order non-linear discrete trajectory smoother is coupled with conventional control law for servo-control of permanent magnet synchronous motors (PMSMs). Conventional control relies on three closed loops with linear proportional-integral-derivative (PID) controllers and gives an undesirable performance under the mismatch. of system parameters and load conditions. To overcome this drawback, a discrete-time second-order non-linear trajectory smoother is applied for the control of a PMSM. The second-order non-linear trajectory smoother is a non-linear variable structure system (VSS) catering for smooth trajectory generation for a motion control system. The trajectory smoother guarantees robustness against a change of system parameters and load conditions. Simulation and experimental studies are included to demonstrate the effectiveness of the proposed control scheme.

scholarly journals Tracking Control of Variable Structure System Using Variable Boundary Layer

2001 ◽  
Vol 5 (6) ◽  
pp. 338-345
Author(s):  
Heejin Lee ◽  
Keyword(s):  
Boundary Layer ◽  
Tracking Control ◽  
Linear Time ◽  
Variable Structure ◽  
Second Order ◽  
Initial State ◽  
Variable Boundary ◽  
Variable Structure Systems ◽  
Variable Structure System ◽  
Arbitrary Initial State

In this paper, a new scheme is presented for the accurate tracking control of the second-order variable structure systems using the variable boundary layer. Up to now, variable structure controller(VSC) applying the variable boundary layer did not remove chattering from an arbitrary initial state of the system trajectory because VSC has used the fixed sliding surface. But, by using the linear time-varying sliding surfaces, the scheme has the robustness against chattering from all states. The suggested method can be applied to the second-order nonlinear systems with parameter uncertainty and extraneous disturbances, and have better tracking performance than the conventional method.To demonstrate the advantages of the proposed algorithm, it is applied to a two-link manipulator.

scholarly journals Position Estimation of a PMSM in an Electric Propulsion Ship System Based on High-Frequency Injection

Electronics ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 276 ◽  
Author(s):  
Hongfen Bai
Keyword(s):  
Permanent Magnet ◽  
High Frequency ◽  
Electric Propulsion ◽  
Permanent Magnet Synchronous Motor ◽  
Estimation Algorithm ◽  
Synchronous Motor ◽  
Position Estimation ◽  
Second Order ◽  
Application Range ◽  
Rotor Position

To improve the operating performance of electric propulsion ships, the permanent magnet synchronous motor is commonly used as the propulsion motor. Additionally, position estimation without sensors can further improve the application range of the propulsion motor and the estimated results can represent the redundancy of measured values from mechanical sensors. In this paper, the high-frequency (HF) injection algorithm combined with the second-order generalized integrator (SOGI) is presented on the basis of analyzing the structure of the electric propulsion ship and the vector control of the motors. The position and rotor speed were estimated accurately by the approximate calculation of q-axis currents directly related to the rotor position. Moreover, the harmonics in the estimated position were effectively reduced by the introduction of the second-order generalized integrator. Then, the rotor position estimation algorithm was verified in MATLAB/Simulink by choosing different low speeds including speed reversal, increasing speed, and increasing load torque. Finally, the correctness of the proposed improved high-frequency injection algorithm based on the second-order generalized integrator was verified by the experimental propulsion permanent magnet synchronous motor (PMSM) system at low speed.

Slip parameter estimation of a single wheel using a non-linear observer

Robotica ◽  
2008 ◽  
Vol 27 (6) ◽  
pp. 801-811 ◽  
Author(s):  
Z. B. Song ◽  
L. D. Seneviratne ◽  
K. Althoefer ◽  
X. J. Song ◽  
Y. H. Zweiri
Keyword(s):  
Sliding Mode ◽  
Kinematic Model ◽  
Variable Structure ◽  
Lyapunov Stability Theory ◽  
Sliding Mode Observer ◽  
Slip Angle ◽  
Wheel Slip ◽  
Variable Structure System ◽  
Non Linear ◽  
Linear Observer

SUMMARYSliding mode observer is a variable structure system where the dynamics of a nonlinear system is altered via application of a high-frequency switching control. This paper presents a non-linear sliding mode observer for wheel linear slip and slip angle estimation of a single wheel based on its kinematic model and velocity measurements with added noise to simulate actual on-board sensor measurements. Lyapunov stability theory is used to establish the stability conditions for the observer. It is shown that the observer will converge in a finite time, provided the observer gains satisfy constraints based on a stability analysis. To validate the observer, linear and two-dimensional (2D) test rigs are specially designed. The sliding mode observer is tested under a variety of conditions and it is shown that the sliding mode observer can estimate wheel slip and slip angle to a high accuracy. It is also shown that the sliding mode observer can accurately predict wheel slip and slip angle in the presence of noise, by testing the performance of the sliding mode observer after adding white noise to the measurements. An extended Kalman filter is also developed for comparison purposes. The sliding mode observer is better in terms of prediction accuracy.

scholarly journals Cascade Second Order Sliding Mode Control for Permanent Magnet Synchronous Motor Drive

Electronics ◽  
2019 ◽  
Vol 8 (12) ◽  
pp. 1508 ◽  
Author(s):  
Adel Merabet
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Current Control ◽  
Second Order ◽  
Motor Drive ◽  
Mode Control ◽  
Second Order Sliding Mode

This paper presents a cascade second-order sliding mode control scheme applied to a permanent magnet synchronous motor for speed tracking applications. The control system is comprised of two control loops for the speed and the armature current control, where the command of the speed controller (outer loop) is the reference of the q-current controller (inner loop) that forms the cascade structure. The sliding mode control algorithm is based on a single input-output state space model and a second order control structure. The proposed cascade second order sliding mode control approach is validated on an experimental permanent magnet synchronous motor drive. Experimental results are provided to validate the effectiveness of the proposed control strategy with respect to speed and current control. Moreover, the robustness of the second-order sliding mode controller is guaranteed in terms of unknown disturbances and parametric and modeling uncertainties.

Chaos Characteristics and Control of Permanent Magnet Synchronous Motors

2011 ◽  
Vol 48-49 ◽  
pp. 292-299 ◽  
Author(s):  
Wei Xue ◽  
Yan Ling Guo ◽  
Yong Li Li
Keyword(s):  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Stable State ◽  
Nonlinear Dynamic System ◽  
Synchronous Motor ◽  
Normal Operation ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
System Parameters ◽  
And Control

The permanent magnet synchronous motor (PMSM), a nonlinear dynamic system, can exhibit prominent chaotic characteristics under some choices of system parameters and external inputs. Based on a mathematical model of the permanent magnet synchronous motor, the existence of chaotic attractor is verified by the phase trajectory, Lyapunov exponent map and the bifurcation diagram. Chaotic phenomenon, such as a strong oscillation of speed and torque, unstable operating performance, affects the normal operation of motor. It makes the PMSM in a stable state to control chaos of the PMSM with a control strategy of infinitesimal geometry, which can eliminate chaos well.

Fuzzy variable structure control based on a Takagi-Sugeno model for permanent-magnet synchronous motors

2009 ◽  
Vol 223 (6) ◽  
pp. 773-783 ◽  
Author(s):  
X Z Zhang ◽  
Y N Wang
Keyword(s):  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Fuzzy Variable ◽  
Fuzzy Model ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Permanent Magnet Synchronous Motors ◽  
Structure Control ◽  
Non Linear System ◽  
Takagi Sugeno

A fuzzy variable structure control (FVSC) scheme based on a Takagi-Sugeno (T-S) model is proposed in this paper for a permanent-magnet synchronous motor (PMSM) drive system in order to solve the speed tracking problem. A T-S fuzzy model is first formed to represent the non-linear system of the PMSM. To convert the tracking control into a stabilization problem, a new control design is proposed to define the internal desired states. Then, an FVSC controller for the PMSM system with parameter variation and load disturbances is designed on the basis of this fuzzy model. The FVSC scheme can drive the dynamics of the PMSM into a designated sliding surface in finite time, and guarantee the property of asymptotical stability. It is also shown that information on the upper bound of modelling errors, as well as on perturbations, is not required when using the FVSC controller. The performance of the proposed controller is verified by simulation and experimental results on a PMSM system.

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