Integrated optimization of structural topology and control for piezoelectric smart trusses with interval variables

Based on interval analysis and the interval extension method, the upper and lower bounds of feedback performance for optimal control in physical space and in modal space, and static and dynamic characteristics for the smart truss with interval parameters, are analyzed. The first-order and second-order topology optimization models are built, where the cross-section areas, topology variables, control design parameters and the number and placements of actuators are taken as design variables. The objective function to minimize is the total mass, and the constraints are also imposed on the allowable voltages of actuators, static displacements, static stresses, first natural frequency of open-loop system and damping ratio of closed-loop system. Genetic algorithm is used as the optimization method. The solutions of numerical examples show that the optimization model and the proposed method are effective.