Abstract
AbstractThis paper uses a polynomial controller with non‐linear performance that is a summation of polynomials in non‐linear states. The optimal performance of this controller depends to a large extent on the weighting matrices elements whose determination is not easy via analytical methods for high dimension control systems. This paper focuses on optimizing a polynomial controller applied to a 20‐story non‐linear benchmark building using the Bayesian optimization (BO). BO is a powerful strategy for optimizing functions that are expensive to evaluate. In setting up the optimization problem, design variables are the parameters of weighting matrices. The objective function is a ratio of the controlled and uncontrolled response for the maximum absolute acceleration of the building, and the maximum inter‐story drift is taken as the constraint. The efficiency of the proposed control scheme is tested on a 20‐story non‐linear benchmark building equipped with magnetorheological dampers. The considered evaluation criteria are compared with other control methods. The results show that the considered algorithm is desirable in reducing the maximum seismic response under different earthquakes.
Published Version
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