Homogeneity-Based Higher-Order Sliding Mode Controller Design for Permanent Magnet Linear Synchronous Motor

The permanent magnet linear synchronous motor (PMLSM) is sensitive to various disturbances such as the load disturbances, parameter perturbations, end effect and so on. To overcome this trouble, a new nonlinear robust controller using the homogeneity-based higher-order sliding mode control technique for the PMLSM is proposed. The detailed systematic controller design procedure is discussed. A digital-signal-processor (DSP) -based PMLSM position control system is implemented. The simulation and experimental results under different parameter and load variations are discussed and compared. The proposed control system shows good robustness and high accuracy in spite of the uncertainties, which confirms the theoretical analysis.

[1]  Ji-Chang Lo,et al.  Decoupled fuzzy sliding-mode control , 1998, IEEE Trans. Fuzzy Syst..

[2]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[3]  R.D. Thornton,et al.  Linear synchronous motor propulsion of small transit vehicles , 2004, ASME/IEEE Joint Rail Conference, 2004. Proceedings of the 2004.

[5]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[6]  Jacek F. Gieras,et al.  Linear Synchronous Motors : Transportation and Automation Systems , 1999 .

[7]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[8]  C.E. Miller,et al.  Modelling a permanent magnet linear synchronous motor for control purposes , 2002, IEEE AFRICON. 6th Africon Conference in Africa,.

[9]  Leonid M. Fridman,et al.  An averaging approach to chattering , 2001, IEEE Trans. Autom. Control..

[10]  Chih-Hong Lin,et al.  Incremental motion control of linear synchronous motor , 2002 .

[11]  Jonathan Rigelsford,et al.  Linear Synchronous Motors: Transportation and Automation Systems , 2000 .

[12]  Kam-Chi Li,et al.  Sliding mode control of distributed parameter systems , 1994, Autom..

[13]  Masayoshi Tomizuka,et al.  Chattering reduction and error convergence in the sliding-mode control of a class of nonlinear systems , 1996, IEEE Trans. Autom. Control..

[14]  Arie Levant,et al.  Homogeneity approach to high-order sliding mode design , 2005, Autom..

[15]  P. Famouri,et al.  Control of a linear permanent magnet brushless DC motor via exact linearization methods , 1992 .

[16]  Muhammad H. Rashid,et al.  Robust high speed and high precision linear motor direct-drive XY-table motion system , 2004 .