Design and robust optimal control of smart beams with application on vibrations suppression

Authors:
G. E. Stavroulakis;G. Foutsitzi;E. Hadjigeorgiou;D. Marinova;C. C. Baniotopoulos
Affiliations:
Department of Mathematics, Institute of Mechanics, University of Ioannina, GR-45110 Ioannina, Greece and Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germ ...;Department of Material Science and Technology, University of Ioannina, GR-45100 Ioannina, Greece;Department of Material Science and Technology, University of Ioannina, GR-45100 Ioannina, Greece;Faculty of Applied Mathematics and Informatics, Technical University of Sofia, BG-1756 Sofia, Bulgaria;Institute of Steel Structures, Department of Civil Engineering, Aristotle University, GR-54006 Thessaloniki, Greece
Venue:
Advances in Engineering Software - Selected papers from civil-comp 2003 and AlCivil-comp 2003
Year:
2005

Citing 1
Cited 2

Robust H/sub 2/ vibration control of beams with piezoelectric sensors and actuators

PHYCON '03 Proceedings of the Physics and Control, 2003. on 2003 International Conference, Vol 1 - Volume 01

Fuzzy control optimized by a Multi-Objective Particle Swarm Optimization algorithm for vibration suppression of smart structures

Structural and Multidisciplinary Optimization
Vibration control of beams with piezoelectric sensors and actuators using particle swarm optimization

Expert Systems with Applications: An International Journal

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Abstract

This paper presents the design of a vibration control mechanism for a beam with bonded piezoelectric sensors and actuators and an application of the arising smart structure for vibrations suppression. The mechanical modeling of the structure and the subsequent finite element approximation are based on Hamilton's principle and classical engineering theory for bending of beams in connection with simplified modeling of piezoelectric sensors and actuators. Two control schemes LQR and H"2 are considered. The latter robust controller takes into account uncertainties of the dynamical system and moreover incompleteness of the measured information, it therefore leads to applicable design of smart structures. The numerical simulation shows that sufficient vibration suppression can be achieved by means of the proposed general methods.