Minimizing Multivariate Objective Function Using Improved Genetic Algorithm in Active Control of Oscillation of Structures

This paper aims to design a special active control system based on the proposed genetic algorithm for active control of structures. In this trend, by connecting the actuator to the structure’s freedom degrees and using the proposed method to find the proper control forces, the structure’s movement is controlled and minimized. The nodal displacements are calculated by solving the dynamic equations of motion at each time step. By evaluating these responsese and utilizing the proposed cost function, the proper actuator’s forces are determined during the prediction-correction process of the genetic algorithm. Moreover, due to the nature of the prediction-correction of the genetic algorithm method, the effect of time delay on the control scheme is mentioned. To illustrate the effectiveness of the proposed method for controlling the oscillations of the structure, three numerical examples are solved and the results are compared with the linear differential equation (LQR) method. Accordingly, the proposed method has a very good ability to control the oscillations of the structure.