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Open AccessArticle

Chatter Mitigation in Milling Process Using Discrete Time Sliding Mode Control with Type 2-Fuzzy Logic System

School of Science and Technology, Örebro University, 70182 Örebro, Sweden
School of Engineering and Sciences, Tecnológico de Monterrey, Monterrey 64849 NL, Mexico
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(20), 4380;
Received: 2 August 2019 / Revised: 26 September 2019 / Accepted: 11 October 2019 / Published: 16 October 2019
(This article belongs to the Collection Recent Applications of Active and Passive Noise Control)
In order to achieve a high-quality machining process with superior productivity, it is very important to tackle the phenomenon of chatter in an effective manner. The problems like tool wear and improper surface finish affect the milling process and are caused by self-induced vibration termed as chatter. A strategy to control chatter vibration actively in the milling process is presented. The mathematical modeling of the process is carried out initially. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with the type-2 fuzzy logic system. The proposed active controller results in a significantly high mitigation of vibration. The DSMC is linked to the time-varying gain which is an innovative approach to mitigate chattering. The theorem is laid down which validates that the system states are bounded in the case of DSMC-type-2 fuzzy. Stability analysis is carried out using Lyapunov candidate. The nonlinearities linked with the cutting forces and damper friction are handled effectively by using the type-2 fuzzy logic system. The performance of the DSMC-type-2 fuzzy concept is compared with the discrete time PID (D-PID) and discrete time sliding mode control for validating the effectiveness of the controller. The better performance of DSMC-type-2 fuzzy over D-PID and DSMC-T1 fuzzy in the minimization of milling chatter are validated by a numerical analysis approach. View Full-Text
Keywords: sliding mode control; vibration control; fuzzy logic sliding mode control; vibration control; fuzzy logic
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Paul, S.; Morales-Menendez, R. Chatter Mitigation in Milling Process Using Discrete Time Sliding Mode Control with Type 2-Fuzzy Logic System. Appl. Sci. 2019, 9, 4380.

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