An adaptive discrete-time controller is developed for a class of practical plants when the mathematical model is unknown and the sampling time is nonconstant or unfixed. The data-driven model is established by the set of plant's input–output data under the pseudo-partial derivative (PPD) which represents the change of output with respect to the change of control effort. The multi-input fuzzy rule emulated network (MiFREN) is utilized to estimate PPD with an online-learning phase to tune all adjustable parameters of MiFREN with the convergence analysis. The proposed control law is developed by the discrete-time sliding mode control (DSMC), and the time-varying band is established according to the unfixed sampling time and unknown boundaries of disturbances and uncertainties. The prototype of direct current-motor current control with uncontrolled-sampling time is constructed to validate the performance of the proposed controller.
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November 2018
Research-Article
Discrete-Time Sliding Mode Controller With Time-Varying Band for Unfixed Sampling-Time Systems
Chidentree Treesatayapun
Chidentree Treesatayapun
Department of Robotic and
Advanced Manufacturing,
CINVESTAV-Saltillo,
Ramos Arizpe 25903, Mexico
e-mails: treesatayapun@gmail.com; chidentree@cinvestav.edu.mx
Advanced Manufacturing,
CINVESTAV-Saltillo,
Ramos Arizpe 25903, Mexico
e-mails: treesatayapun@gmail.com; chidentree@cinvestav.edu.mx
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Chidentree Treesatayapun
Department of Robotic and
Advanced Manufacturing,
CINVESTAV-Saltillo,
Ramos Arizpe 25903, Mexico
e-mails: treesatayapun@gmail.com; chidentree@cinvestav.edu.mx
Advanced Manufacturing,
CINVESTAV-Saltillo,
Ramos Arizpe 25903, Mexico
e-mails: treesatayapun@gmail.com; chidentree@cinvestav.edu.mx
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received October 9, 2017; final manuscript received April 30, 2018; published online June 4, 2018. Assoc. Editor: Hashem Ashrafiuon.
J. Dyn. Sys., Meas., Control. Nov 2018, 140(11): 111002 (10 pages)
Published Online: June 4, 2018
Article history
Received:
October 9, 2017
Revised:
April 30, 2018
Citation
Treesatayapun, C. (June 4, 2018). "Discrete-Time Sliding Mode Controller With Time-Varying Band for Unfixed Sampling-Time Systems." ASME. J. Dyn. Sys., Meas., Control. November 2018; 140(11): 111002. https://doi.org/10.1115/1.4040209
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