Research on algorithm of optimal actuator/sensor location for piezoelectric truss

A mathematical model of actuators/sensors optimized placements is built up for vibration control of adaptive piezoelectric truss structure,and a new method of optimal placements is proposed in this paper.In the method,the approximation concepts,dual method and genetic algorithm are adopted to decrease the number of structural analysis.Firstly,a series of approximate problems are created through the multi-point approximate function,and then a layered optimization method is used,in the outside layer the actuator placement variables are optimized through the genetic algorithm,and in the inside layer the control augment variables are optimized through the dual method.In order to improve the approximation quality to the original problem,a new combined multi-point approximation is proposed to create the first-level approximate problems.The results of a truss example show that the proposed method can bring out the optimum solutions after an extremely few times of structural analysis.