The Optimal Location of Piezoelectric Sensor/Actuator Based on Adaptive Genetic Algorithm

Abstract

This paper considered the optimal placement of collocated piezoelectric actuator-sensor pairs on a thin cantilever plate using a modal-based linear quadratic independent modal space controller. LQR performance was taken as objective for finding the optimal location of sensor–actuator pairs.The discrete optimal sensor and actuator location problem was formulated in the framework of a zero–one optimization problem,which was solved by real-coded adaptive genetic algorithm (AGA). The vibration response of the piezoelectric plate was calculated using the finite element method (FEM).The optimization and vibration control programs were written by FORTRAN language. The results of numrical examples show that the adaptive genetic algorithm based on the minimum of LQR performance for the optimal location of sensors and actuators is feasible and effective.