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A Novel Second Order Sliding Mode Control Algorithm
for Velocity Control Permanent Magnet Synchronous
Motor
Liang Qi and Hongbo Shi
Key Laboratory of Advanced Control and Optimization for Chemical Processes
of Ministry of Education, East China University of Science and Technology,
200237 Shanghai, China
qi_liang999@yahoo.com.cn,
hbshi@ecust.edu.cn
Abstract. This paper focuses on performance improvements of the permanent
magnet synchronous motor (PMSM) vector control. In this paper, a novel sec-
ond order sliding mode control (SOSMC) algorithm is presented to accomplish
velocity control of the PMSM. The integral manifold is utilized to avoid noise
signals being amplified because of the acceleration information in control sys-
tem, and the second order sliding mode control law is achieved by a Lyapunov
function approach. The novel method can successfully eliminate the system chat-
tering problem and improve the performance of the PMSM control system, such
as fast response, high robustness and tracking speed performance. Meanwhile,
an anti-windup control method is used to solve the problem of the windup phe-
nomenon of the PMSM control system. The experimental results show that the
proposed method is feasible and effective and is capable of controlling the per-
manent magnet synchronous motor.
Keywords: PMSM, SOSMC, Anti-Windup, Lyapunov function, Integral mani-
fold.
1
Introduction
The permanent-magnet synchronous motors (PMSM) have many advantages of high
power density, high efficiency, high reliability and fast dynamics, so they have been ap-
plied widely in factory automation, household appliances, computer, high-speed
aerospace drives, and automobiles, etc. However, the control performance of PMSM is
still influenced by the change of the mechanical parameter, the external load disturbances
and perturbations in practical applications. It is difficult to attain the high-performance
control of PMSM for the conventional PID-type control methods. Therefore, several
modern and intelligent control techniques, such as sliding mode control(SMC)[1]-[7],
adaptive control[[8], neural net control[9] and fuzzy control[10],[11], etc. have been
studied to accomplish the control of PMSM. Sliding mode control is one of the effec-
tive control methods of PMSM since it owes several advantages, such as, insensitivity
 
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