Abstract

A novel Fuzzy PID-Variable Structure Adaptive Control is proposed for position tracking of Permanent Magnet Synchronous Motor which will be used in electric extremity exoskeleton robot. This novel control method introduces sliding mode variable structure control on the basis of traditional PID control. The variable structure term is designed according to the sliding mode surface which is designed by system state equation, so it could compensate for the disturbance and uncertainty. Considering the chattering of sliding mode system, the fuzzy inference method is adopted to adjust the parameters of PID adaptively in real time online, which can attenuate chattering and improve control precision and dynamic performance of system correspondingly. In addition, compared with the traditional sliding mode control, this method takes the fuzzy PID control item to replace the equivalent control item of sliding mode variable structure control, which could avoid the control performance reduction resulted from modeling error and parameter error of system. It is proved that this algorithm can converge to the sliding surface and guarantee the stability of system by Lyapunov function. Simulation results show that Fuzzy PID-Variable Structure Adaptive Control enjoys better control precision and dynamic performance compared with traditional control method, and it improves the robustness of system significantly. Finally, the effectiveness and practicability of the algorithm are verified by the method of Rapid Control Prototyping on the semiphysical simulation test bench.

Highlights

  • Lower extremity exoskeleton system is a kind intelligent assist robot, which is wearable, combines the operator with machine, and could be used in medical and military fields wildly [1,2,3]

  • Considering that the equivalent control item in Sliding Mode Cotrol (SMC) will affect the servo control performance due to modeling error and inaccurate parameters of system, the effect of the equivalent control item in SMC is compensated by PID control item, and the effect of the nonlinear is compensated by the variable structure control item

  • The Fuzzy PID-Variable Structure Adaptive Control algorithm for the position tracking control of Permanent Magnet Synchronous Motor (PMSM) which will be used in electric extremity exoskeleton robot is proposed

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Summary

Introduction

Lower extremity exoskeleton system is a kind intelligent assist robot, which is wearable, combines the operator with machine, and could be used in medical and military fields wildly [1,2,3]. In order to give full play to the performance of the variable structure control item, the fuzzy inference method is introduced to attenuate the chattering of the system by adaptively modifying the parameters of PID. The Fuzzy PID-Variable Structure Adaptive Control, which is mutual compensation of sliding mode variable structure control and fuzzy PID control, is proposed for trajectory tracking of PMSM used in extremity exoskeleton system. This algorithm ensures stability of system by PID control instead of equivalent control. The fuzzy reasoning method is added to adjust the parameters of PID adaptively online in real time, which improves robustness of system again and attenuates chattering of sliding mode system as well

Mathematical Model of PMSM
Design of Fuzzy PID-Variable Structure Adaptive Controller
Proof of Stability
Simulation Verification
Experiment Verification
Conclusion
Full Text
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