Control Approaches for Systems with Hysteresis

This chapter investigates control approaches for smart systems with hysteresis. Proportional-integral-derivative (PID) tuning control, robust control, inversion-based feedforward control, and multirate-based composite control are investigated. The PID tuning method is modified according to the hysteresis effect. Inversion-based feedforward control is developed with the composite representation of hysteresis. Then, composite control involving PID feedback control and inversion-based feedforward control is presented. Moreover, robust control is also investigated in smart systems. Finally, multirate composite robust control is designed to achieve both high bandwidth and precision tracking by use of a dSPACE 1104 board.

[1]  Si-Lu Chen,et al.  SVD-based Preisach hysteresis identification and composite control of piezo actuators. , 2012, ISA transactions.

[2]  Qingze Zou,et al.  Robust Inversion-Based 2-DOF Control Design for Output Tracking: Piezoelectric-Actuator Example , 2009, IEEE Transactions on Control Systems Technology.

[3]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[4]  Santosh Devasia,et al.  Feedback-Linearized Inverse Feedforward for Creep, Hysteresis, and Vibration Compensation in AFM Piezoactuators , 2007, IEEE Transactions on Control Systems Technology.

[5]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[6]  Kok Kiong Tan,et al.  Identification and control of linear dynamics with input Preisach hysteresis , 2010, Proceedings of the 2010 American Control Conference.

[7]  Seung-Hi Lee,et al.  Multirate digital control system design and its application to computer disk drives , 2006, IEEE Trans. Control. Syst. Technol..

[8]  Hsin-Jang Shieh,et al.  An Adaptive Approximator-Based Backstepping Control Approach for Piezoactuator-Driven Stages , 2008, IEEE Transactions on Industrial Electronics.

[9]  Si-Lu Chen,et al.  Development of an Approach Toward Comprehensive Identification of Hysteretic Dynamics in Piezoelectric Actuators , 2013, IEEE Transactions on Control Systems Technology.

[10]  A.J. Fleming Nanopositioning System With Force Feedback for High-Performance Tracking and Vibration Control , 2010, IEEE/ASME Transactions on Mechatronics.

[11]  David I. Wilson Relay-based PID tuning , 2005 .

[12]  Chunling Du,et al.  Robust Compensation of Periodic Disturbances by Multirate Control , 2008, IEEE Transactions on Magnetics.

[13]  Hwee Choo Liaw,et al.  Neural Network Motion Tracking Control of Piezo-Actuated Flexure-Based Mechanisms for Micro-/Nanomanipulation , 2009, IEEE/ASME Transactions on Mechatronics.

[14]  M. Brokate,et al.  Hysteresis and Phase Transitions , 1996 .

[15]  H. Fujimoto,et al.  Multirate adaptive robust control for discrete-time non-minimum phase systems and application to linear motors , 2005, IEEE/ASME Transactions on Mechatronics.

[16]  Hiroshi Fujimoto,et al.  A Study on High-Speed and High-Precision Tracking Control of Large-Scale Stage Using Perfect Tracking Control Method Based on Multirate Feedforward Control , 2008, IEEE Transactions on Industrial Electronics.

[17]  S O Reza Moheimani,et al.  Invited review article: accurate and fast nanopositioning with piezoelectric tube scanners: emerging trends and future challenges. , 2008, The Review of scientific instruments.

[18]  U-Xuan Tan,et al.  Feedforward Controller of Ill-Conditioned Hysteresis Using Singularity-Free Prandtl–Ishlinskii Model , 2009, IEEE/ASME Transactions on Mechatronics.

[19]  Santosh Devasia,et al.  A Survey of Control Issues in Nanopositioning , 2007, IEEE Transactions on Control Systems Technology.

[20]  Chun-Yi Su,et al.  Development of the rate-dependent Prandtl–Ishlinskii model for smart actuators , 2008 .

[21]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[22]  S. Devasia,et al.  Feedforward control of piezoactuators in atomic force microscope systems , 2009, IEEE Control Systems.

[23]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[24]  Qingze Zou,et al.  A review of feedforward control approaches in nanopositioning for high-speed spm , 2009 .

[25]  Wen-Jun Cao,et al.  Frequency-domain transfer function of digital multirate controller with current estimator , 2005, IEEE Trans. Control. Syst. Technol..

[26]  M. Krasnosel’skiǐ,et al.  Systems with Hysteresis , 1989 .

[27]  Bharath Bhikkaji,et al.  A New Scanning Method for Fast Atomic Force Microscopy , 2011, IEEE Transactions on Nanotechnology.