Research And Simulation Of Instantaneous Optimal Control Algorithm For Vibration Control

The instantaneous optimal active control is to calculate the corresponding control force according to the real-time state information of the building structure,and then apply the control force to the building structure through the actuator to achieve the purpose of damping.The active control model of variable-section high-rise building structure and the active control model of 20-storey high-rise building are established to verify the damping effect of the instantaneous optimal active control,and compare it with The LMI control algorithm and The LQR control algorithm,as follows:1)The instantaneous optimal control algorithm has a significant damping effect on the displacement and velocity indexes of the 20-storey concentrated mass model.The damping effect can be adjusted by adjusting the weight parameters;The control cost increases with the increase of the damping effect;The amplitude of actuator output control force increases with the increase of floor.2)When the weight matrix with a specific form of formula is adopted,the instantaneous optimal control algorithm can effectively control the first N order mode of230 m continuous mass model.The damping effect is significant for structural displacement and velocity indexes,but not obvious for acceleration indexes.The damping effect can be adjusted by adjusting the weight coefficient.The better the damping effect is,the higher the control force cost will be.The closer the actuator is to the top of the structure,the larger the amplitude of output control force is.The sensitivity of instantaneous optimal control to time delay increases with the increase of control force.3)Compared with LQR control,the instantaneous optimal control can achieve better shock absorption with lower maximum stroke and lower instantaneous power.It can also achieve a better maximum acceleration,maximum inter-storey displacement,maximum inter-storey shear damping effect,at the same time,it only needs a smaller control cost.4)Within a certain design parameter range,Instantaneous optimal control algorithm can achieve better shock absorption than LMI control algorithm with less cost.Figure 64;Table 3;Reference 58...