A Novel Second Order Sliding Mode Control Algorithm for Velocity Control Permanent Magnet Synchronous Motor - Intelligent Computing for Sustainable Energy and Environment - page 219

Fig. 4. Tracking curves of motor speed

Fig.3 shows the experimental results of PMSM speed control when J has a perturba-
tion, i.e.

J=2J. The experimental results in the Fig.3 testify that the SOSMC has good
robustness when the system has the perturbation.
In order to evaluate the tracking performance of the second order sliding mode con-
troller, the experiments are tested in the presence of the sinusoid external disturbances.
Fig.3 shows the results of tracking speed in the condition of PI control and SOSMC
when the given speed is n ∗ =1500+300sin(t) and the load torque is full load. As shown
in Fig.4, the SOSMC provides better tracking performance than PI control.

5Con lu ion

This paper has proposed a novel second order sliding mode control algorithm to ac-
complish velocity control in the PMSM vector control system. The integral manifold
is utilized to avoid the acceleration information amplifying the noise signals in control
system. And the second order sliding mode control law is designed by the Lyapunov
function approach. The algorithm can effectively eliminate the system chattering phe-
nomenon compared with the conventional first order sliding mode control. In order to
avoid the windup phenomenon of the PMSM control system, an anti-windup control
method is used in the system. The feasibility and effectiveness of the novel algorithm
has been testified through the computer simulation. The results indicate that the pro-
posed second order sliding mode control algorithm can improve the performance of
the PMSM control system such as fast response, high robustness and tracking speed
performance.

Acknowledgments. We are very grateful to the editors and anonymous reviewers
for their valuable comments and suggestions to help improve our paper. This work
is supported by Research and Development Program of China (863 Program)(Grant no.
2011AA04A105), the Fundamental Research Funds for the Central Universities, and
the Shanghai Commission of Science and Technology (Grant no. 11ZR1409800).