Adaptive chatter mitigation control for machining processes with input saturations

Summary Chatter is an unstable nonlinear dynamical phenomenon often encountered in machining operations because of the self-excitation mechanism, which may lead to overcut or rapid tool wear, and hence, greatly influence the surface quality and productivity in milling operations. Recent years have witnessed an increasing industrial demand of high quality and high efficiency machining. This paper hereby develops a constrained active adaptive control method to mitigate the chatter dynamics with input saturations. To guarantee the feasibility of the proposed approach, moderate stable conditions of the closed-loop system are afterwards derived by using the LaSalle–Yoshizawa theorem as well. Finally, numerical simulations are conducted to show the substantially enlarged stable region in the Lobe Diagram. Thus, the method can be expected to improve the efficiency of milling processes. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  Jun Zhao,et al.  Design for variable pitch end mills with high milling stability , 2011 .

[2]  Alpay Yilmaz,et al.  Machine-Tool Chatter Suppression by Multi-Level Random Spindle Speed Variation , 1999, Manufacturing Science and Engineering.

[3]  Huijun Gao,et al.  Vibration Isolation for Active Suspensions With Performance Constraints and Actuator Saturation , 2015, IEEE/ASME Transactions on Mechatronics.

[4]  M. Siddhpura,et al.  A review of chatter vibration research in turning , 2012 .

[5]  Gilles Dessein,et al.  SUPPRESSION OF PERIOD DOUBLING CHATTER IN HIGH-SPEED MILLING BY SPINDLE SPEED VARIATION , 2011 .

[6]  Bin Yao,et al.  A globally stable saturated desired compensation adaptive robust control for linear motor systems with comparative experiments , 2006, American Control Conference.

[7]  Wei Wang,et al.  Stability analysis for variable spindle speed milling with helix angle using an improved semi-discretization method , 2013 .

[8]  Afzal Suleman,et al.  Design and modeling of an electrostrictive inchworm actuator , 2004 .

[9]  Nathan van de Wouw,et al.  Robust Active Chatter Control in the High-Speed Milling Process , 2012, IEEE Transactions on Control Systems Technology.

[10]  Henk Nijmeijer,et al.  An improved tool path model including periodic delay for chatter prediction in milling , 2007 .

[11]  Zongli Lin,et al.  Distributed Semiglobal Consensus With Relative Output Feedback and Input Saturation Under Directed Switching Networks , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Zongli Lin,et al.  Control of discrete-time periodic linear systems with input saturation via multi-step periodic invariant set , 2012, Proceedings of the 10th World Congress on Intelligent Control and Automation.

[13]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[14]  Konrad Wegener,et al.  Optimal control for chatter mitigation in milling—Part 2: Experimental validation , 2014 .

[15]  Andreas Kugi,et al.  Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator , 2011 .

[16]  Richard E. DeVor,et al.  Analytical Stability Analysis of Variable Spindle Speed Machining , 2000 .

[17]  B. Balachandran,et al.  Stability of Up-milling and Down-milling Operations with Variable Spindle Speed , 2010 .

[18]  Zongli Lin,et al.  Semi‐global leader‐following consensus of multiple linear systems with position and rate limited actuators , 2015 .

[19]  Roger L. Fittro,et al.  μ Synthesis Applied to the Compliance Minimization of an Active Magnetic Bearing HSM Spindle's Thrust Axis , 2003 .

[20]  Henk Nijmeijer,et al.  Fixed‐structure robust controller design for chatter mitigation in high‐speed milling , 2015 .

[21]  Neil D. Sims,et al.  Milling workpiece chatter avoidance using piezoelectric active damping: a feasibility study , 2005 .

[22]  M. Movahhedy,et al.  Spindle speed variation and adaptive force regulation to suppress regenerative chatter in the turning process , 2010 .

[23]  André Preumont,et al.  Regenerative chatter reduction by active damping control , 2007 .

[24]  Yu Kang,et al.  Stability Analysis and Stabilization of a Class of Cutting Systems With Chatter Suppression , 2015, IEEE/ASME Transactions on Mechatronics.

[25]  Gábor Stépán,et al.  Machine Tool Chatter and Surface Location Error in Milling Processes , 2006 .

[26]  Min Chen,et al.  Control Approaches to the Suppression of Machining Chatter Using Active Magnetic Bearings , 2007, IEEE Transactions on Control Systems Technology.

[27]  Natarajan Shankar,et al.  Mitigation of chatter instabilities in milling by active structural control , 2001 .

[28]  Giacomo Bianchi,et al.  Spindle speed variation in turning: technological effectiveness and applicability to real industrial cases , 2012 .

[29]  Han Ding,et al.  Adaptive Active Chatter Control in Milling Processes , 2014 .

[30]  Yue Wu,et al.  Model predictive control to mitigate chatters in milling processes with input constraints , 2015 .

[31]  Neil D. Sims,et al.  Vibration absorbers for chatter suppression: A new analytical tuning methodology , 2007 .

[32]  Gábor Stépán,et al.  Stability of time-periodic and delayed systems - a route to act-and-wait control , 2006, Annu. Rev. Control..

[33]  Bin Yao,et al.  A Globally Stable High-Performance Adaptive Robust Control Algorithm With Input Saturation for Precision Motion Control of Linear Motor Drive Systems , 2007 .

[34]  Han Ding,et al.  An efficient linear approximation of acceleration method for milling stability prediction , 2013 .

[35]  Konrad Wegener,et al.  Optimal control for chatter mitigation in milling—Part 1: Modeling and control design , 2014 .