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对于主动振动控制器的设计,传统的控制算法以速度和位移作为系统的输入量,但速度和位移难以观测,给实际应用带来了较大的误差.本文在振动状态空间方程的基础上,对其进行矩阵运算,形成以加速度为系统输入的状态微分反馈控制方程.构造具有约束条件的目标函数,根据Lagrange乘子法和泛函极值运算确定了状态反馈矩阵和状态反馈估计值,从而构造了闭环的状态微分控制算法.根据此算法对一直径为1m的环形空间结构进行了振动控制仿真,利用时域内的模态参数识别方法,对控制效果进行了评价,并以三层剪切型框架结构为对象,对状态微分控制算法和传统的LQR算法进行了控制效果的对比分析.结果表明,利用状态微分控制算法在空间结构上的振动控制是可行的,且减振效果明显,同时优于传统的LQR控制算法.
For the design of active vibration controller, the traditional control algorithm regards the velocity and displacement as the input of the system, but the velocity and displacement are hard to observe, which brings great error to the practical application.Based on the vibration state space equation, The matrix differential equations of feedback are established by using the acceleration as the input of the system.The objective function with constraints is constructed and the state feedback matrix and the state feedback estimation are determined according to Lagrange multiplier method and functional extremum operation A closed-loop state differential control algorithm is constructed.A vibration control simulation is carried out on a ring-shaped space with a diameter of 1m according to this algorithm. The modal parameter identification method in the time domain is used to evaluate the control effect. Frame structure as the object, a comparative analysis of the control effects of the state differential control algorithm and the traditional LQR algorithm is carried out. The results show that the vibration control of the space structure using the state differential control algorithm is feasible and the damping effect is obvious. Better than the traditional LQR control algorithm.