A modified simulated annealing algorithm for optimal vibration control of flexible structures

Abstract

This paper presents a modified simulated annealing algorithm and applies it to the optimal control of flexible smart structures bonded with piezoelectric actuators and sensors. A performance function is initially developed, based on the integrated total energy stored in the system. Then according to this characteristic, a modified simulated annealing algorithm is presented which is capable of solving this optimization problem reliably and efficiently. The optimization algorithm that is developed for the control of flexible systems allows an integrated determination of actuator and sensor locations and feedback gains. The paper demonstrates the suitability of the proposed algorithm through its application to a collocated cantilever beam with both one and two actuators/sensors.