Articles | Volume 13, issue 1
Mech. Sci., 13, 297–310, 2022
https://doi.org/10.5194/ms-13-297-2022
Mech. Sci., 13, 297–310, 2022
https://doi.org/10.5194/ms-13-297-2022
Research article
24 Mar 2022
Research article | 24 Mar 2022

Constraint-following control design for the position tracking of a permanent magnet linear motor with inequality constraints

Xiaofei Chen et al.

Related subject area

Subject: Dynamics and Control | Techniques and Approaches: Synthesis
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Cited articles

Alter, D. M. and Tsao, T.-C.: Control of Linear Motors for Machine Tool Feed Drives: Design and Implementation of H Optimal Feedback Control, J. Dyn. Syst-T. ASME, 118, 649–656, https://doi.org/10.1115/1.2802339, 1996. 
Chen, S.-Y., Chiang, H.-H., Liu, T.-S., and Chang, C.-H.: Precision Motion Control of Permanent Magnet Linear Synchronous Motors Using Adaptive Fuzzy Fractional-Order Sliding-Mode Control, IEEE-ASME T. Mech., 24, 741–752, https://doi.org/10.1109/tmech.2019.2892401, 2019. 
Chen, Y.-H.: Second-order constraints for equations of motion of constrained systems, IEEE ASME T. Mech., 3, 240–248, https://doi.org/10.1109/3516.712120, 1998. 
Chen, Y. H.: Equations of motion of constrained mechanical systems: given force depends on constraint force, Mechatronics, 9, 411–428, https://doi.org/10.1016/s0957-4158(98)00053-1, 1999. 
Chen, Y.-H.: Constraint-following Servo Control Design for Mechanical Systems, J. Vib. Control., 15, 369–389, https://doi.org/10.1177/1077546307086895, 2009. 
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Short summary
We propose a kind of permanent magnet linear motor (PMLM) with inequality constraints to transform the constraint tracking control method based on the equality constraint and U–K inequality status transformation. This method solves the problem of the control system of equality constraints and inequality constraints without the need for the localization of a nonlinear system, proving that the method has certain advantages and can be extended to the safety constraint control of other products.