Design of Simultaneous Periodic Output Feedback Control for Smart Structures

Abstract

This paper presents the problem of modelling simultaneous periodic output feedback control design to control the first two vibration modes of a flexible smart cantilever beam. The entire structure is modeled by finite element method using a piezoelectric beam element which includes a piezoelectric sensor and actuator dynamics. Simulation results demonstrate that a single controller can be employed to control the first two vibration modes for six different sensor/actuator locations along the beam. Application of simultaneous control introduces a redundancy in smart structure control.

Key Words:

• Smart structure
• simultaneous control
• output feedback
• vibration control

Additional information

Notes on contributors

M. Umapathy

M. Umapathy was born in RaI manathapuram, Tamil Nadu, India, in 1967. He received Bachelor's degree in Instrumentation and Control Engineering from the Government College of Technology, Coimbatore, India, in 1988, Master's degree in Precision Engineering and Instrumentation from the Indian Institute of Technology, Madras, in 1990 and Ph.D. in Systems and Control Engineering from the Indian Institute of Technology, Bombay, in 2001. He worked as a graduate engineer trainee for NLC Limited, Neyveli, India for a year and served as a scientist in the Defence Research and Development Organization (DRDO), Government of India, Pune, India for six years. He joined as a faculty member of the National Institute of Technology, Tiruchirappalli, India in 1996, where he is currently working as Assistant Professor in the department of Instrumentation and Control Engineering. His research interests include smart structure modelling and control, smart materials, MEMS, and interval analysis.

B. Bandyopadhyay

B. Bandyopadhyay was born in Birbhum, West Bengal, India, in 1956. He received a Bachelor's degree in Electronics and Communication Engineering from the University of Calcutta, India, and Ph.D. in Electrical Engineering from the Indian Institute of Technology, Delhi, India in 1978 and 1986, respectively. In 1987, he joined the Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology, Bombay, India as a faculty member, where he is currently a Professor and the Convener. He visited the Center for System Engineering and Applied Mechanics, Universite Catholique de Louvain, Louvain-la-Neuve, Belgium, in 1993. In 1996, he was with the Lehrstuhl fur Elecktrische Steuerung und Regelung, Ruhr Universitat Bochum, Bochum, Germany, as an Alexander von Humboldt Fellow. He has authored and coauthored more than 35 journal articles and more than 100 conference papers and was abroad on many occasions for research paper presentations. His research interests include the areas of large-scale systems, dynamical systems, model reduction, reactor control, smart structures, periodic output feedback control, fast output feedback control and sliding mode control. Prof. Bandyopadhyay served as Co-Chairman of the International Organization Committee and as Chairman of the Local Arrangements Committee for the IEEE International Conference in Industrial Technology, held in Goa, India, in January 2000. His biography was published in Marquis' Who's Who in the World in 1997.