Integral variable-structure grey control for magnetic levitation system

An integral variable-structure grey control for a magnetic levitation system for position tracking is presented. The sliding-mode control is insensitive to system uncertainties and disturbances when it is within expected limits. It produces chattering when uncertainty values are overestimated, or steady-state error when underestimated. The method uses a mathematically simple and computationally efficient grey compensator for the integral variable structure controller to reduce chattering and steady-state error. The stability of this magnetic levitation system is proven by using the Lyapunov function. The experimental results verify that the proposed controller is valid for a magnetic levitation system.

[1]  Jing-Chung Shen,et al.  H∞ Control and Sliding Mode Control of Magnetic Levitation System , 2008 .

[2]  Faa-Jeng Lin,et al.  Adaptive fuzzy sliding-mode control for PM synchronous servo motor drives , 1998 .

[3]  Albert W. L. Yao,et al.  An improved Grey-based approach for electricity demand forecasting , 2003 .

[4]  Zi-Jiang Yang,et al.  Adaptive robust nonlinear control of a magnetic levitation system via DSC technique , 2001, Autom..

[5]  Jian-Shiang Chen,et al.  Design of a perturbation estimator using the theory of variable-structure systems and its application to magnetic levitation systems , 1995, IEEE Trans. Ind. Electron..

[6]  Tzuu-Hseng S. Li,et al.  Multiloop control of thyristor-driven magnetic levitation system , 1995 .

[7]  K M Passino,et al.  Dynamically focused fuzzy learning control , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[8]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[9]  Cheng-Hung Tsai, Hung-Ching Lu.  Design and Implementation of a DSP-Based Grey-Fuzzy Controller for Induction Motor Drive , 2000 .

[10]  Vincent Del Toro,et al.  Electric Power Systems , 1991 .

[11]  H. K. Chiang,et al.  Integral variable structure controller with grey prediction for synchronous reluctance motor drive , 2004 .

[12]  B. V. Jayawant.  Electromagnetic levitation and suspension techniques , 1981 .

[13]  Benjamin C. Kuo,et al.  AUTOMATIC CONTROL SYSTEMS , 1962, Universum:Technical sciences.

[14]  D. Cho,et al.  Sliding mode and classical controllers in magnetic levitation systems , 1993, IEEE Control Systems.

[15]  Ahmed El Hajjaji,et al.  Modeling and nonlinear control of magnetic levitation systems , 2001, IEEE Trans. Ind. Electron..

[16]  Zi-Jiang Yang,et al.  Robust position control of a magnetic levitation system via dynamic surface control technique , 2004, IEEE Transactions on Industrial Electronics.

[17]  B. V. Jayawant.  Electromagnetic suspension and levitation , 1981 .