A Robust Adaptive Control for Permanent Magnet Synchronous Motor Subject to Parameter Uncertainties and Input Saturations

다국어 초록 (Multilingual Abstract)

To achieve high performance speed regulation, a robust adaptive speed controller is proposed for the permanent magnet synchronous motor (PMSM) subject to parameter uncertainties and input saturations in this paper. A nonlinear adaptive control is introduced to compensate the PMSM speed tracking errors due to uncertainties, disturbances and control input saturation constraints. By combining the adaptive control and the nonlinear robust control based on the interconnection and damping assignment (IDA) strategy, a new robust adaptive control is designed for speed regulation of PMSM. Stability and robustness of the closed-loop control system involved with the constrained control inputs rather than unconstrained control inputs are validated. Simulations for PMSM control in the presence of uncertainties and saturations nonlinearities show that the proposed approach is effective to regulate speed, and the average tracking error using the proposed approach is at least 32% smaller than the compared methods.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Mathematical Modelling of PMSM Drives
• 3. Adaptive Compensations to Parameter Uncertainties and Input Saturations
• 4. Nonlinear Robust Control Design
• 5. Simulation Results
• 6. Conclusion
• References

참고문헌 (Reference)

1 A. Dirksz, "Structure preserving adaptive control of port-Hamiltonian systems" 57 (57): 2880-2884, 2012

2 A. Wei, "Stabilization and $H_{\infty}$ control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation" 46 : 2008-2013, 2010

3 M. Rehan, "Stabilisation of locally Lipschitz non-linear systems under input saturation and quantisation" 11 (11): 1459-1466, 2017

4 Y. Guo, "Speed Regulation of permanent magnet synchronous motor via feedback dissipative Hamiltonian realization" 1 (1): 281-290, 2007

5 F. El-Sousy, "Robust wavelet-neural-network sliding-mode control system for permanent magnet synchronous motor drive" 5 (5): 113-132, 2011

6 Y. Zhao, "Robust speed control of a permanent magnet synchronous motor system" 3271-3276, 2016

7 N. Vu, "Robust speed control method for permanent magnet synchronous motor" 6 (6): 399-411, 2012

8 R. Errouissi, "Robust nonlinear generalized predictive control of a permanent magnet synchronous motor with an anti-windup compensator" 3184-3189, 2010

9 V. Azimi, "Robust multi-objective $H_2/H_{\infty}$ tracking control based on T-S fuzzy model for a class of nonlinear uncertain drive systems" 226 (226): 1107-1118, 2012

10 R. Errouissi, "Robust cascaded nonlinear predictive control of a permanent magnet synchronous motor with antiwindup compensator" 59 (59): 3078-3088, 2012

11 F. El-Sousy, "Robust adaptive $H_{\infty}$ position control via a wavelet-neural-network for a DSP-based permanent-magnet synchronous motor servo drive system" 4 (4): 333-347, 2010

12 A. Vahid, "Position and current control of an interior permanent-magnet synchronous motor by using loop-shaping methodology: blending of $H_{\infty}$ mixed-sensitivity problem and T-S fuzzy model scheme" 135 : 1-11, 2013

13 A. Wei, "Parallel simultaneous stabilization of a set of port-controlled Hamiltonian systems subject to actuator saturation" 24 (24): 120-139, 2011

14 A. Donaire, "On the addition of integral action to port-controlled Hamiltonian systems" 45 : 1910-1916, 2009

15 M. Aliyu, "Nonlinear $H_{\infty}$ Control, Hamiltonian Systems and Hamilton-Jacobi Equations" CRC Press 2011

16 L. Guo, "Model reference adaptive control of five-phase IPM motors based on neural network" 59 (59): 1500-1508, 2012

17 S. Garin, "MTPA- and FW-based robust nonlinear speed control of IPMSM drive using Lyapunov stability criterion" 52 (52): 4365-4374, 2016

18 R. Ortega, "Interconnection and damping assignment passivity control: a survey" 10 : 432-450, 2013

19 V. Petrovic, "Interconnection and damping assignment approach to control of permanent magnet synchronous motors" 9 (9): 811-820, 2011

20 L. Sun, "Control design for a class of affine nonlinear descriptor systems with actuator saturation" 60 (60): 2195-2200, 2015

21 C. Lin, "Chattering free robust nonlinear controller for an interior permanent magnet synchronous motor speed drive system" 2218-2223, 2010

22 J. Chio, "Antiwindup strategy for PI-type speed controller" 56 (56): 2039-2046, 2009

23 H. Shin, "Anti-windup PID controller with integral state predictor for variable-speed motor drives" 56 (56): 1509-1516, 2012

24 Y. Orlov, "Advanced $H_{\infty}$ Control: Towards Nonsmooth Theory and Applications" Springer 2014

25 A. Wei, "Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled Hamiltonian systems subject to actuator saturation" 28 (28): 1128-1144, 2013

26 Q. Zhou, "Adaptive fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach" 47 (47): 1979-1989, 2017

27 T. Turker, "A robust predictive current controller for PMSM drives" 63 (63): 3906-3914, 2016

28 A. Khan, "A novel wavelet- neural-network-based robust controller for IPM motor drives" 49 (49): 2341-2351, 2013

29 P. Tomi, "A nonlinear adaptive speed tracking control for sensorless permanent magnet step motors with unknown load torque" 22 : 266-288, 2007

30 전현우, "A Maximum Power Control of IPMSM with Real-time Parameter Identification" 대한전기학회 12 (12): 110-116, 2017

31 A. Van der Schaft, "$L_2$-Gain and Passivity Techniques in Nonlinear Control" Springer 1999