Multiobjective Design of Structures with Bounded Control for Vibration Suppression

This paper describes a method to design a structure and control system simultaneously using multiobjective optimization method based on using the Euclidean norm. In the design of the control system, the state space equations are integrated using a Runge-Kutta method for specified initial boundary condition and the constraints on maximum values of the control forces. The structural weight and weight of the actuators, are considered as the criteria functions. The design variables are the control bounds, the cross-sectional areas of the structural elements and elements of the weighting matrices. As an example to illustrate the application of an approach, a box beam idealized by rod elements is used.