H-infinity controller design for chatter suppression in machining based on integrated cutting and flexible structure model. (August 2021)

• Record Type: Journal Article
• Authors: Ruttanatri, Prapon; Cole, Matthew O.T.; Pongvuthithum, Radom; Huyanan, Satiengpong
• Is Part Of: Automatica. Volume 130(2021)
• Publication Date: 2021-08
• Subjects: Time-delay system -- Control optimization -- Vibration -- Flexible structure -- Lyapunov–Krasovskii functional; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109643
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper describes a feedback controller design for chatter suppression in machining based on combined flexible structure and cutting force models. To deal with time-delayed feedback effects from cutting forces, a linear time-delay control system is introduced that satisfies an H ∞ norm-bound criterion. A corresponding set of linear matrix inequalities (LMIs) is derived from a delay-dependent Lyapunov–Krasovskii functional (LKF) and used to synthesize controllers that can achieve stable operation for specified material removal rates. Experiments on a hardware-in-the-loop flexible structure test-bed show that the LKF-LMI H ∞ controller gives significant improvements in stability regions compared with robust (non-time-delay) controller designs, confirming the method's potential for machining vibration control.