Optimal Placement of Collocated Sensors and Actuators in FRP Composites Substrate

Abstract

In this thesis, Multi-Objective method is used for optimal placement of Collocated Sensors and Actuator, using integrated Genetic Algorithm. Optimal placement of piezoelectric sensors and actuators in a cantilever beam is found out by maximizing the controllability index and also observability index. First mode vibration is only considered for the present case. Finite element formulation for shell structure was used for the beam analysis by making the radius infinite, which results to the formulation for plate analysis. The cantilever beam was divided into twenty equal sections, where the piezoelectric material can be placed. In the present study four sensors and four actuators has been considered for collocated system. For non-collocated system four sensors was only considered. Results obtained from the work shows that the location for placement of piezoelectric material for non-collocated system is same as that obtained from multi-objective collocated system. Hence it can be deduced, it is not needed to find out the location for sensors and actuators separately rather controllability index for both can be found out together by using multi-objective collocated formulation.