A new reaching law for sliding mode observer of controllable excitation linear synchronous motor

Author(s):  
Xiaolei Shi ◽  
Yipeng Lan ◽  
Yunpeng Sun ◽  
Cheng Lei

This paper presents a sliding mode observer (SMO) with new reaching law (NRL) for observing the real-time linear speed of a controllable excitation linear synchronous motor (CELSM). For the purpose of balancing the dilemma between the rapidity requirement of dynamic performance and the chattering reduction on sliding mode surface, the proposed SMO with NRL optimizes the reaching way of the conventional constant rate reaching law (CRRL) to the sliding mode surface by connecting the reaching process with system states and the sliding mode surface. The NRL is based on sigmoid function and power function, with proper options of exponential term and power term, the NRL is capable of eliminating the effect of chattering on accuracy of the angular position estimation and speed estimation. Compared with conventional CRRL, the SMO with NRL achieves suppressing the chattering phenomenon and tracking the transient process rapidly and accurately. The stability analysis is given to prove the convergence of the SMO through the Lyapunov stability theory. Simulation and experimental results show the effectiveness of the proposed NRL method.

Sensors ◽  
2018 ◽  
Vol 18 (8) ◽  
pp. 2467 ◽  
Author(s):  
Shusheng Li ◽  
Yongling Fu ◽  
Ping Liu

This paper aims to deal with the problem of rotor position estimation and compensation for a magnetically suspended flywheel energy storage system under the consideration of measurement noise and unknown disturbances. First, the flywheel system working principle and description are analyzed and, based on this, the mathematical model as well as the coordinates transformation are introduced. For the purpose of the state estimation, a two-step extended sliding-mode observer is considered to obtain the estimates of the rotor angular position. In this control strategy, a traditional sliding-mode observer is adopted as a first-step original state estimator. After that, the relationship between the angular position and the estimation error is established and a second-step observer is designed to obtain the estimation of the error. The estimated error is then used to compensate the real values of the rotor angular position generated by the first-step observer. To reject the influences of the measurement noise and unknown disturbances, the H∞ optimization strategy is considered to determine the second-step observer structure. Finally, experimental results are presented to demonstrate the effectiveness of the proposed method. It is demonstrated that the proposed two-step observer method has a better estimation accuracy and control performance.


2021 ◽  
Vol 12 (2) ◽  
pp. 74
Author(s):  
Wengen Gao ◽  
Gang Zhang ◽  
Mengxun Hang ◽  
Sirui Cheng ◽  
Pengfei Li

This paper analyzes the problems and the reasons of high frequency chattering, phase delay, unmanageable with low-speed rotation in the traditional SMO control strategy of the sensor-less control strategy of a permanent magnet synchronous motor based on the traditional sliding mode observer. Aiming at the shortcomings of the above-mentioned traditional SMO control strategy, an improved SMO control strategy is presented by replacing the signum function in the traditional synovial observer with the sigmoid function to reduce the high frequency chattering of the system. Meanwhile, the proposed improved SMO control strategy introduces an adaptive filter to eliminate harmonics and chattering, and adaptively compensates the estimated back-EMF value to reduce the estimation error caused by the phase delay. The improved SMO strategy was tested through Matlab/Simulink simulation and real experiments respectively. The results verified that the improved SMO strategy can significantly reduce chattering and phase delay and achieve good control performance at low speeds, as well as maintain good performance at full speed.


2021 ◽  
Vol 2125 (1) ◽  
pp. 012029
Author(s):  
Ruihao Wang ◽  
Xiaowei Pan ◽  
Qihui Wang ◽  
Junling Huo ◽  
Hongxing Wu

Abstract Position sensorless control system of permanent magnet linear synchronous motor has some advantages: simple structure, easy maintenance, high efficiency, good speed performance, etc. This paper designed a position sensorless control system of permanent magnet linear synchronous motor based on sliding mode observer, namely taking advantage of a sensorless algorithm to estimate the pole position and speed. Firstly, the principle of sliding mode control and basic conditions which need to achieve are analyzed. And then, a sliding mode observer of the permanent magnet linear synchronous motor sensorless control system is designed. The related simulation model is built to study the effect of sliding mode observer for rotor position accuracy. The simulation model is implemented to build models of permanent magnet linear synchronous motor vector control system based on sliding mode observer and simulate the control performance of position sensorless control. In the last part, the feasibility of the design scheme is verified by analysis of simulation results.


2015 ◽  
Vol 740 ◽  
pp. 317-320
Author(s):  
Tong Yi Han ◽  
Zhong Hua Wang ◽  
Fei Fei Han

In this paper, a new sliding-mode observer (SMO) for sensorless control of permanent magnet synchronous motor (PMSM) is proposed. The observer is built based on the study of the back electromotive force (EMF) equivalent control. The new SMO, which substitues a hyperbolic tangent function for the signum function with a variable boundary layer, can reduce the chattering phenomenon. In order to overcome the time delay, we cancelled the low-pass filter and phase compensation module. In this way, not only the structure of the observer is simplified, but also the estimation precision is improved. The simulation results prove that the new SMO has a good dynamic performance and static quality.


2014 ◽  
Vol 986-987 ◽  
pp. 1134-1137 ◽  
Author(s):  
Xiao Dong Wang ◽  
Gang Liu

In sensorless vector control of permanent magnet synchronous motor, it is necessary to achieve an accurate estimate of the motor speed and position of the rotor. Traditional sliding mode observer algorithm has the inherent chattering problem which reduces accuracy. The Sigmoid function was used to replace the sign function in the traditional sliding mode observer as the switching control function to cancel the filter and phase compensation links. A new sliding mode observer was designed and its stability was proved. High-speed permanent magnet synchronous motor simulation and experimental results show: the new modified sliding mode observer based on Sigmoid function can eliminate the severe buffeting of the traditional sliding mode observer, achieve the accurate estimation of the rotor speed and position for high-speed permanent magnet synchronous motor to complete a wide range of speed control; the correctness and feasibility of the sensorless control strategy based on this method is verified.


2014 ◽  
Vol 490-491 ◽  
pp. 925-930
Author(s):  
Shuo Zhou ◽  
Da Zhi Wang ◽  
Qing Zhong Gao

A novel sliding mode observer(SMO) of PMSM(permanent magnetic synchronous motor) was presented, which estimated the rotor position and angular velocity accurately.The proposed SMO substitutes a sigmoid function for the conventional signum function with a variable boundary layer which is changed according to the rotational velocity.The dependence to motor parameters and chattering effects that is commonly found in signum function using for the switching function were overcome.By combining the model of PMSM under d-q coordinate,the convergence condition of observer was deduced.The convergence was verified by the Lyapunov theory.Simulation results show that the rotor position and velocity can be observed accurately,and also has good dynamic performance and robustness.


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