Sensor runout compensation in active magnetic bearings via an integral adaptive observer

Abstract Sensor runout is one of the main sources of harmonic disturbances in active magnetic bearing systems. This type of the disturbance not only causes harmonic vibrations in the system but also changes the steady-state position of the axis of rotation from the geometric center of the AMB. In this paper, an integral adaptive observer is proposed to identify the dc and harmonic content of the sensor runout and to estimate the states of the system at the same time. The Lyapunov method is used to prove asymptotic stability of the proposed observer. Unlike the proportional observer which amplifies the measurement error, the sensor runout can be completely compensated when the states of the integral adaptive observer are used for feedback stabilization. It is shown that the proposed technique can also attenuate rotor displacements, when both sensor runout and mass unbalance disturbances are applied to the system. Simulation results have been presented for both cases to demonstrate the performance of the integral adaptive observer. Experimental results are also obtained by an AMB test rig, which confirm the effectiveness of the proposed method.

[1]  Joachim Rudolph,et al.  Fault diagnosis on a magnetically supported plate , 2012, 2012 1st International Conference on Systems and Computer Science (ICSCS).

[2]  Youngjin Park,et al.  AN ADAPTIVE FEEDFORWARD CONTROLLER FOR REJECTION OF PERIODIC DISTURBANCES , 1997 .

[3]  Xiangbo Xu,et al.  Active vibration control of rotor imbalance in active magnetic bearing systems , 2015 .

[4]  Shyh-Leh Chen,et al.  Optimal design of a three-pole active magnetic bearing , 2002 .

[5]  M. Benrejeb,et al.  State and sensor faults estimation via a proportional integral observer , 2009, 2009 6th International Multi-Conference on Systems, Signals and Devices.

[6]  Hamid Mehdigholi,et al.  Linear Output Feedback Control of a Three-Pole Magnetic Bearing , 2014, IEEE/ASME Transactions on Mechatronics.

[7]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[8]  G. Schweitzer,et al.  Magnetic bearings : theory, design, and application to rotating machinery , 2009 .

[9]  Chao Bi,et al.  Automatic learning control for unbalance compensation in active magnetic bearings , 2005 .

[10]  Yohji Okada,et al.  Vibration control of flexible rotor by inclination control magnetic bearings with axial self-bearing motor , 2001 .

[11]  Chong-Won Lee,et al.  In situ runout identification in active magnetic bearing system by extended influence coefficient method , 1996 .

[12]  Nobuaki Kobayashi,et al.  Disturbance estimation by observer-based stabilizing controller with simplified design and its applications to teleoperation , 2008, 2008 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems.

[13]  D. Ho,et al.  Proportional multiple-integral observer design for descriptor systems with measurement output disturbances , 2004 .

[14]  W. Messner,et al.  Advanced Methods For Repeatable Runout Compensation , 1994, Digest of the Magnetic Recording Conference.

[15]  Nader Meskin,et al.  Adaptive sliding mode observer for sensor fault diagnosis of an industrial gas turbine , 2015 .

[16]  Shun Qi Zhang UNKNOWN DISTURBANCE ESTIMATION AND COMPENSATION USING PI OBSERVER FOR ACTIVE CONTROL OF SMART BEAMS , 2013 .

[17]  Carl R. Knospe,et al.  Reducing magnetic bearing currents via gain scheduled adaptive control , 2001 .

[18]  Mehrdad Saif Reduced order proportional integral observer with application , 1993 .

[19]  P. Kaboré,et al.  Disturbance attenuation using proportional integral observers , 2001 .

[20]  Joga Dharma Setiawan,et al.  Adaptive Compensation of Sensor Runout for Magnetic Bearings With Uncertain Parameters: Theory and Experiments , 2001 .

[21]  Yi Xiong,et al.  Unknown disturbance inputs estimation based on a state functional observer design , 2003, Autom..

[22]  Saïd Mammar,et al.  Design of proportional-integral observer for unknown input descriptor systems , 2002, IEEE Trans. Autom. Control..

[23]  Juan Shi,et al.  Synchronous disturbance attenuation in magnetic bearing systems using adaptive compensating signals , 2004 .

[24]  Jordi-Roger Riba,et al.  Runout Tracking in Electric Motors Using Self-Mixing Interferometry , 2014, IEEE/ASME Transactions on Mechatronics.

[25]  Joga Dharma Setiawan,et al.  Synchronous Sensor Runout and Unbalance Compensation in Active Magnetic Bearings Using Bias Current Excitation , 2002 .

[26]  Andrew G. Alleyne,et al.  A robust two degree-of-freedom controller for systems with both model and measurement uncertainty , 2014 .

[27]  Gang Liu,et al.  Model development and harmonic current reduction in active magnetic bearing systems with rotor imbalance and sensor runout , 2015 .

[28]  Marc Bodson,et al.  Advanced methods for repeatable runout compensation [disc drives] , 1995 .