Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam

Abstract

Position of piezoelectric actuators and sensors on a smart structure directly affects the control performances of a smart structure. In order to improve efficiency of active vibration control of a smart structure, optimization of piezoelectric actuators and sensors placement has been performed. There are various optimization criteria for optimal placement of piezoelectric actuator. The ‘state-of-the-art’ of optimization criteria is presented in [1]. The aim of this paper is to compare control effectiveness of smart composite cantilever beam, where optimal configurations of actuator-sensor pairs were found by using four optimization criteria (LQR based optimization, grammian matrices, performance index and fuzzy optimization strategy). The problem is formulated as multi-input-multi-output (MIMO) model. The beam is discretized by using the finite element method (FEM). The particle swarm optimization (PSO) method is used to find optimal configurations for each configuration.