Abstract
A kind of adaptive sliding model control algorithm is developed to solve and improve the mathematical model dependency and un-modeled dynamics of a controlled system. The control strategy derived from a kind of data-driven control method in essence, thereby the input and output data are utilized by the controller with no information about the control system model. Theoretical analysis proves that this proposed control algorithm can improve the utilization of the estimated pseudo partial derivative information and accelerate the velocity of the convergence. The stability of the control system is further verified by rigorous mathematical analysis. This new discrete-time nonlinear systems model-free control algorithm obtained better control performance through the simulations for the linear motor position and the information tracking speed, which also achieved robust and accurate traceability.
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G. H. Zhang, C. L. Su, P. Li. Model-free adaptive control of MIMO systems based on linearization of partial format. Information and Control, vol. 40, no. 3, pp. 338–342, 2011. (in Chinese)
S. L. Sui, J. Sun, R. H. Chi. Model-free periodic adaptive control method for linear motors. Journal of Qingdao University of Science and Technology (Natural Science Edition), vol. 31, no. 1, pp. 83–85, 2010. (in Chinese)
S. J. Sun, L. G. Hou, C. L. Su, L. J. Xu. A model-free adaptive control based on VRFT. Information and Control, vol. 41, no. 5, pp. 602–608, 2012. (in Chinese)
W. J. Zhu, H. Hang, H. X. Zhang, L. Xu. Improved sliding mode observer for position Sensorless field oriented control of PMSM. Electric Drive, vol. 43, no. 7, pp. 8–11, 2013. (in Chinese)
Y. Q. Liu, Q. F. Lu, Y. Y. Ye. Sliding mode control with integral compensator structure for permanent magnet linear synchronous machine. Journal of Mechanical & Electrical Engineering, vol. 30, no. 6, pp. 717–720, 2013. (in Chinese)
X. H. Qi, H. T. Zhen. The design of adaptive sliding mode control law on reconfigurable flight control system. In Proceedings of International Conference on Electronics, Communications and Control, IEEE, Ningbo, China, pp. 332–536, 2011.
C. Shan, L. P. Wang. E. Rogers. A cascade MPC control structure for a PMSM with speed ripple minimization. IEEE Transactions on Industrial Electronics, vol. 60, no. 8, pp. 2978–2987, 2013.
S. T. Jin, Z. S. Hou, R. H. Chi, X. B. Liu. Data-driven model-free adaptive learning control for a class of discretetime nonlinear systems. Control Theory & Applications, vol. 29, no. 8, pp. 1001–1009, 2012. (in Chinese)
J. F. Cui, H. Yan, B. Y. Shan. Direct trust control of permanent magnet linear synchronous motor based on model-free adaptive control method. Modular Machine Tool & Automatic Manufacturing Technique, no. 6, pp. 47–50, 2013. (in Chinese)
Z. S. Hou, S. T. Jin. Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems. IEEE Transactions on Neural Networks, vol. 22, no. 12, pp. 2173–2188, 2011.
X. Bu, Z. Hou, F. Yu, F. Wang. Robust model free adaptive control with measurement disturbance. IET Control Theory and Applications, vol. 6, no. 9, pp. 1288–1296, 2012.
Y. C. Xu, H. B. Long. Joint optimal design of missile guidance and control law for minimizing miss distance. In Proceedings of the 32nd Chinese Control Conference, IEEE, Xi’an, China, pp. 5640–5643, 2013.
Z. G. Yu, J. Zhao. Convergence analysis of model free control law with primary pattern. Control Engineering of China, vol. 16, no. 2, pp. 130–132, 2009. (in Chinese)
T. Z. Zhang, Z. G. Han. The convergence analysis of the general form of model free controller. Electric Machines and Control, vol. 10, no. 3, pp. 333–336, 2006
X. H. Qi, H. T. Zhen. The design of adaptive sliding mode control law on reconfigurable flight control system. In Proceedings of International Conference on Electronics, Communications and Control, IEEE, Ningbo, China, pp. 332–536, 2011.
R. M. Cao, Z. S. Hou. Simulation study on model-free control method in linear motor control system. Journal of System Simulation, vol. 18, no. 10, pp. 2874–2878, 2006. (in Chinese)
Q. Y. Su, Y. C. Li, X. Z. Da, J. Li. Fault detection for a class of impulsive switched systems. International Journal of Automation and Computing, vol. 11, no. 2, pp. 223–230, 2014.
D. Guo, Y. L. Fu, N. Lu, W. H. Wang. Application of model-free adaptive control in billet flash butt welding. In Proceedings of the 29th Chinese Control Conference, IEEE, Piscataway, USA, pp. 5110–5114, 2010.
Z. H. Hou, S. T. Jin. A novel data-driven control approach for a class of discrete-time nonlinear systems. IEEE Transactions on Control Systems Technology, vol. 19, no. 6, pp. 1549–1558, 2011.
Z. Q. Gao, S. H. Hu. On properties and applications of a new form of discrete time optimal control law. In Proceedings of the 39th IAS Annual Meeting of Industry Applications Conference, IEEE, Seattle, USA, vol. 3, pp. 1511–1518, 2004.
Z. S. Hou, Y. M. Zhu. Controller-dynamic-linearizationbased model free adaptive control for discrete-time nonlinear systems. IEEE Transactions on Industrial Electronics, vol. 9, no. 4, pp. 2301–2309, 2013.
L. Zhang, X. W. Gao. Synthesizing scheduled robust model predictive control with target tracking. International Journal of Automation and Computing, vol. 9, no. 4, pp. 337–341, 2012.
L. D. S. Coelho, W. P. Marcelo, R. S. Rodrigo, A. A. R. Coelho. Model-free adaptive control design using evolutionary-neural compensator. Expert Systems with Applications, vol. 37, no. 1, pp. 499–508, 2010.
H. X. Liu, S. H. Li. Speed control for PMSM servo system using predictive functional control and extended state observer. IEEE Transactions on Industrial Electronics, vol. 59, no. 2, pp. 1171–1183, 2011.
M. Z. Chen, Q. Zhao, D. H. Zhou. A robust fault detection approach for nonlinear systems. International Journal of Automation and Computing, vol. 3, no. 1, pp. 23–28, 2006.
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This work was supported by Key Programs for Science and Technology Development of Henan Province (No. 102102210197); the Opening Project of Key Laboratory of Mine Informatization, Henan Polytechnic University and the Doctoral Foundation of Henan Polytechnic University (No.B2010-23)
Recommended by Associate Editor Yuan-Qing Xia
Wei Hu received the B. Sc. and M. Sc. degrees in automation and control theory and control engineering from the Henan Polytechnic University, China in 1999 and 2002, respectively. He received the Ph.D. degree in astrophysics from Nanjing Institute of Astronomical Optics & Technology, National Astronomical Observatories, Chinese Academy of Sciences, China in 2009. Now, he is an associate professor at School of Electrical Engineering & Automation, Henan Polytechnic University, China. He has published more than 15 papers. He has applied for 4 national invention patents and participated in 2 projects supported by National Natural Science Fundation of China.
His research interests include power electronics, power transmission, intelligent control, and fault diagnosis.
ORCID iD: 0000-0003-1935-5621
Jie Tang received the B. S c. degree in automation from Henan Polytechnic University, China in 2008. Now, she is a master student in control theory and control engineering at Henan Polytechnic University, China.
Her research interests include the servodriven control for permanent magnet synchronous motor and permanent magnet linear synchronous motor, model-free adaptive control and intelligent control and PMLSM, model-free adaptive control and intelligent control.
ORCID iD: 0000-0001-9198-3564
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Hu, W., Tang, J. Study of model-free adaptive data-driven SMC algorithm. Int. J. Autom. Comput. 13, 183–190 (2016). https://doi.org/10.1007/s11633-015-0922-x
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DOI: https://doi.org/10.1007/s11633-015-0922-x