Discrete time sliding mode control of milling chatter

Paul, Satyam; L�fstrand, Magnus

Abstract

© Springer Nature Switzerland AG 2020. The technique of mitigating chatter phenomenon in an effective manner is an important issue from the viewpoint of superior quality machining process with quality production. In this paper, an innovative solution to control chatter vibration actively in the milling process is presented. The mathematical modelling associated with the milling technique is presented in the primary phase of the paper. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with Type 2 fuzzy logic system. Superior mitigation of chatter is the outcome of developed active controller. The Lyapunov scheme is implemented to validate the stability criteria of the proposed controller. The embedded nonlinearity in the cutting forces and damper friction are compensated in an effective manner by the utilization of Type-2 fuzzy technique. The vibration attenuation ability of DSMC-Type-2 fuzzy (DSMC-T2) is compared with the Discrete time PID (D-PID) and DSMC-Type-1 fuzzy (DSMC-T1) for validating the effectiveness of the controller. Finally, the numerical analysis is carried out to validate that DSMC-T2 is superior to D-PID and DSMC-T1 in the minimization of the milling chatter.

• Presentation Conference Type: Conference Paper (published)
• Acceptance Date: Dec 19, 2019
• Online Publication Date: Dec 20, 2019
• Publication Date: Jan 1, 2020
• Deposit Date: Mar 6, 2020
• Journal: Advances in Intelligent Systems and Computing
• Print ISSN: 2194-5357
• Publisher: Springer Verlag
• Volume: 1121 AISC
• Pages: 381-390
• ISBN: 9783030383633
• DOI: https://doi.org/10.1007/978-3-030-38364-0_34
• Public URL: https://uwe-repository.worktribe.com/output/5612616
• Additional Information: First Online: 20 December 2019; Conference Acronym: ICCSAMA; Conference Name: International Conference on Computer Science, Applied Mathematics and Applications; Conference City: Hanoi; Conference Country: Vietnam; Conference Year: 2019; Conference Start Date: 19 December 2019; Conference End Date: 20 December 2019; Conference Number: 6; Conference ID: iccsama2019; Conference URL: http://www.lita.univ-lorraine.fr/~iccsama2019/index.php