Integrated optimization of structure and control systems for interconnected building structures subjected to earthquake

The integrated optimization of structure and control systems is investigated for n interconnected building structures subjected to earthquake. The vibration control model is established for the interconnected building structures, and optimal stiffness and damping parameters of assigned passive controllers are calculated based on LQR algorithm and an equivalent control effect strategy in the frequency domain. The integrated optimization model of structure and control, including design variables, the objective function and constraint function, is built. The design variables are size parameters of structural elements, the parameters of the weighted matrix, and the number and locations of passive controllers. The maximal displacement of the controlled system in the time domain and the energy index in the frequency domain are introduced as the optimized objective functions. A genetic algorithm is adopted to solve this kind of optimization problem with discrete and continuous design variables. The results of a numerical example show that the proposed method is reasonable and effective.