Physical-model-based control of a piezoelectric tube for nano-scale positioning applications

Gawthrop, P.J., Bhikkaji, B. and Moheimani, S.O.R. (2010) Physical-model-based control of a piezoelectric tube for nano-scale positioning applications. Mechatronics, 20(1), pp. 74-84. (doi: 10.1016/j.mechatronics.2009.09.006)

Abstract

Piezoelectric tubes exhibit a highly resonant mode of vibration which, if uncontrolled, limits the maximum scan rate in nano-scale positioning applications. Highly resonant systems with collocated sensor/actuator are often controlled using resonant shunt dampers. Unfortunately, in the configuration used here, this approach is not possible due the non-minimum phase property arising from the presence of a right-half plane zero. This problem is solved by: (i) interpreting the resonant shunt damper in the context of physical-model-based control (PMBC) and (ii) extending the PMBC approach to handle non-minimum phase systems. The resultant controller combines the physical insight of the resonant shunt damper with the ability to control the non-minimum phase piezoelectric tube. A digital implementation of the controller was experimentally evaluated and found to successfully eliminate the resonant mode of vibration during an accurate and fast scan using a piezoelectric tube actuator.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Gawthrop, Professor Peter
• Authors: Gawthrop, P.J., Bhikkaji, B., and Moheimani, S.O.R.
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: Mechatronics
• Publisher: Elsevier
• ISSN: 0957-4158