Model Predictive Control For The Seismic Response Of Tall Building

In recent years, plenty of tall buildings are appeared quickly due to the development of the city and the increment of the population. It mitigates the problem resulting from the lack of the ground. However, many structures are located in the regions of high seismic activities. Public is becoming increasingly concerned about the safety of the structure which could be subjected to severe levels of structural motions induced by extreme event. Therefore, reducing structural response under the earthquake is becoming a very critical issue at present.Structural vibration control is a new subject developing recent several decades. It mainly researches the theory, the method and the application. Structural vibration control includes passive control, active control, semi-active control and hybrid control. This dissertation focuses on the active control, which uses active control device such as active mass damper to enhance the performance of the structures during earthquakes and strong winds. So it is significant to study the control schemes adapting to these devices.Predictive control is a new control method with computer, and has been applied extensively in many sectors of the process industry. It uses the ideas of the receding horizon and the feedback proofread based on the predictive model of the system response to optimize the objective function and gain the optimal control force, which could minimize the difference between the real output and the desired output.This dissertation has studied the structural model and model predictive control (MPC) algorithm that was first implemented for the structural vibration control of the tall building under earthquake excitation. Based on analyzing structural motion equation and the state space form equation of the earthquake-excited structural model of the tall building, predictive model and control objective functions are defined and the MPC system of the tall building is set up.The acceleration and displacement of the structural model under El-Centro earthquake excitation is simulated by MATLAB. The comparison of the response under no control and predictive control is made. The max value and the RMS (Root Mean Square) value of the acceleration of the top floor decrease 50% and 47.7% respectively. The max value and the RMS value of the displacement decrease 74.5% and 71.9% respectively. This dissertation also analyzes the effect on the structural response due to the number and the location of the controller based on the lots of simulation study. The results show that MPC is a simple and effective control scheme. It can greatly reduce seismic response of the tall building. This study has laid foundation for the development of future applicants of MPC in practical anti-seismic design.