Active vibration control of motorized spindle based on mixed H ∞ /Kalman filter robust state feedback control

In its working process, a high-speed motorized spindle bearing-rotor system is affected by a variety of vibration excitations, which severely affect the machining precision and reliability. In view of the problems in the active vibration control of current smart-material-based bearing-rotor systems and based on the structural layout of a piezoelectric device and a controlled bearing-rotor system, a bearing was directly connected to a piezoelectric actuator via a sleeve, which improved the working efficiency of the piezoelectric stack actuator. Furthermore, to improve the robustness of the system’s vibration control performance under different external excitations (e.g., cutting force and mass unbalance), uncertainties in internal parameters (changes in bearing stiffness and stiffness nonlinearity of piezoelectric materials), process and measure noises, a mixed state feedback algorithm based on H ∞ norm optimization and a Kalman filter observer with state disturbance estimation was established. The dynamic and robust performance of the proposed method was compared with that of the linear quadratic Gaussian optimal control methods and H ∞ output feedback control method through both simulation and experiment by changing the piezoelectric stacks without changing the control program.

[1]  Shan Wen-tao.  Dynamic stiffness analysis for motorized-spindle angular contact ball bearings considering ferrule deformation , 2013 .

[2]  G. Zames.  Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[3]  Valder Steffen,et al.  Modal Active Vibration Control of a Rotor Using Piezoelectric Stack Actuators , 2007 .

[4]  J. C. Wimpenny,et al.  Stability and Control in Aircraft Design , 1954, Journal of the Royal Aeronautical Society.

[5]  R. Holmes,et al.  Investigation of an Electromagnetic Damper for Vibration Control of a Transmission Shaft , 1979 .

[6]  Kon Well Wang,et al.  Structural Vibration Control Via Electrorheological-Fluid-Based Actuators With Adaptive Viscous And Frictional Damping , 1994 .

[7]  Guanrong Chen,et al.  Kalman Filtering with Real-time Applications , 1987 .

[8]  Howard M. Adelman,et al.  Optimal placement of tuning masses for vibration reduction in helicopter rotor blades , 1988 .

[9]  Chi-Wei Lin,et al.  An integrated thermo-mechanical-dynamic model to characterize motorized machine tool spindles during very high speed rotation , 2003 .

[10]  Wang Hongli.  ACTIVE VIBRATION CONTROL OF ROTOR WITH SHAPE MEMORY ALLOY (SMA) SPRING , 2002 .

[11]  Hoi Yam Lau.  Feasibility of using giant magnetostrictive material (GMM) based actuators in active control of journal bearing system , 2009 .

[12]  R. H. Miller,et al.  Helicopter Blade Vibration and Flutter , 1956 .

[13]  H. P. Wölfel,et al.  Active Vibration Control of a High Speed Rotor Using PZT Patches on the Shaft Surface , 2004 .

[14]  S. Poh,et al.  Performance of an active control system with piezoelectric actuators , 1988 .

[15]  I. Kuseyri,et al.  Robust control and unbalance compensation of rotor/active magnetic bearing systems , 2012 .

[16]  Giacomo Bianchi,et al.  Active spindle system for a rotary planing machine , 2012 .

[17]  Matthew P. Cartmell,et al.  Dynamics and Control of a Rotor Using an Integrated SMA/Composite Active Bearing Actuator , 2003 .

[18]  Pascal Ray,et al.  Modal identification of spindle-tool unit in high-speed machining , 2011 .

[19]  Kazuto Seto,et al.  Active Control of Structures , 2008 .

[20]  Shiqiang Zheng,et al.  Active Vibration Control of the Flexible Rotor to Pass the First Bending Critical Speed in High Energy Density Magnetically Suspended Motor , 2015 .

[21]  Kshitij Gupta,et al.  Damping studies in fiber-reinforced composites : a review , 1999 .

[22]  H. D. Nelson,et al.  The Dynamics of Rotor-Bearing Systems Using Finite Elements , 1976 .

[23]  Christian Brecher,et al.  Machine tool spindle units , 2010 .

[24]  Jan Swevers,et al.  A piezo-based bearing for the active structural acoustic control of rotating machinery , 2010 .

[25]  Rainer Nordmann,et al.  Robust active vibration control of flexible rotors using piezo actuators as active bearing , 2003 .

[26]  S. O. Reza Moheimani,et al.  Piezoelectric Transducers for Vibration Control and Damping , 2006 .

[27]  Jr. James E. Hubbard.  Method and apparatus using a piezoelectric film for active control of vibrations , 1986 .

[28]  R. Holmes,et al.  Investigation of Squeeze-Film Isolators for the Vibration Control of a Flexible Rotor , 1979 .

[30]  Ephrahim Garcia,et al.  A Self-Sensing Piezoelectric Actuator for Collocated Control , 1992 .

[31]  Chih-Hsing Chu,et al.  Dynamic models and design of spindle-bearing systems of machine tools: A review , 2013 .

[32]  P. Khargonekar,et al.  Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[33]  Shuyun Jiang,et al.  Dynamic Design of a High-Speed Motorized Spindle-Bearing System , 2010 .

[34]  J. Dias Rodrigues,et al.  Active vibration control of smart piezoelectric beams: Comparison of classical and optimal feedback control strategies , 2006 .

[35]  D. Bernstein,et al.  Steady-state kalman filtering with an H∞ error bound , 1989, 1989 American Control Conference.

[36]  Alan Palazzolo,et al.  Piezoelectric Pushers for Active Vibration Control of Rotating Machinery , 1988 .

[37]  Xiaoan Chen,et al.  Model-based dynamical properties analysis of a motorized spindle system with an adjustable preload mechanism , 2014 .

[38]  P. Khargonekar,et al.  An algebraic Riccati equation approach to H ∞ optimization , 1988 .