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Computational Science, Engineering & Technology Series
ISSN 1759-3158
CSETS: 32
CIVIL AND STRUCTURAL ENGINEERING COMPUTATIONAL METHODS
Edited by: Y. Tsompanakis, P. Iványi and B.H.V. Topping
Chapter 7

Nature Inspired Algorithms for the Vibration Control of Beams with Piezoelectric Sensors and Actuators

Y. Marinakis, M. Marinaki and G.E. Stavroulakis

Department of Production Engineering and Management, Technical University of Crete, Chania, Greece

Full Bibliographic Reference for this chapter
Y. Marinakis, M. Marinaki, G.E. Stavroulakis, "Nature Inspired Algorithms for the Vibration Control of Beams with Piezoelectric Sensors and Actuators", in Y. Tsompanakis, P. Iványi and B.H.V. Topping, (Editors), "Civil and Structural Engineering Computational Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 7, pp 129-156, 2013. doi:10.4203/csets.32.7
Keywords: genetic algorithms, differential evolution, particle swarm optimization, bees inspired algorithms, fuzzy control, smart structures.

Abstract
Smart structures include elements of active, passive or hybrid control. In the case of linear structures with linear control laws, there are many classical methods for the design of the control system. For more complicated structures, mainly the ones including nonlinearities, or nonlinear control laws, the theoretical results from the area of control are not very helpful. Global optimization techniques can help in this case. In this chapter, the fuzzy control, which is a suitable tool for the systematic development of active control strategies is considered and a number of evolutionary and nature inspired algorithms are used for the calculation of the continuous and discrete free parameters in the fuzzy control system. The evolutionary and nature inspired algorithms used include genetic algorithms, differential evolution, particle swarm optimization, artificial bee colony, honey bees mating optimization and bumble bees mating optimization. Numerical applications on smart piezoelastic beams are presented. The results obtained are compared and an analysis is given for the effectiveness of each method in this type of problem.

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