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Semi-active model predictive control for 3rd generation benchmark problem using smart dampers

Yan Guiyun (ÑÕ¹ðÔÆ)1,2, Sun Bingnan (Ëï±þéª) 2 and L¨¹ Yanping (ÂÀÑÞÆ½) 3

1. Department of Civil Engineering, Fujian University of Technology, Fuzhou 350007, China
2. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China
3. Department of Civil Engineering, Fuzhou University, Fuzhou 350002, China

Abstract: A semi-active strategy for model predictive control (MPC), in which magneto-rheological dampers are used as an actuator, is presented for use in reducing the nonlinear seismic response of high-rise buildings. A multi-step predictive model is developed to estimate the seismic performance of high-rise buildings, taking into account of the effects of nonlinearity, time-variability, model mismatching, and disturbances and uncertainty of controlled system parameters by the predicted error feedback in the multi-step predictive model. Based on the predictive model, a Kalman-Bucy observer suitable for semi-active strategy is proposed to estimate the state vector from the acceleration and semi-active control force feedback. The main advantage of the proposed strategy is its inherent stability, simplicity, on-line real-time operation, and the ability to handle nonlinearity, uncertainty, and time-variability properties of structures. Numerical simulation of the nonlinear seismic responses of a controlled 20-story benchmark building is carried out, and the simulation results are compared to those of other control systems. The results show that the developed semi-active strategy can efficiently reduce the nonlinear seismic response of high-rise buildings.

Keywords: nonlinear seismic response; model predictive control; semi-active strategy; benchmark problem; magnetorheological damper

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