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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 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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