【摘要】 针对传统线性二次型最优控制(Linear quadratic optimal control,LQR)等主动控制方法存在鲁棒性较差的不足,考虑结构参数和外部激励的不确定性,提出一种控制算法简单、便于工程应用的鲁棒H∞最优控制方法。将工程中常用的二次型最优指标结合于鲁棒H∞控制系统的分析中,使得控制器的性能指标容易衡量;通过引入线性矩阵不等式(Linear Matrix Inequalities,LMI)减小求解的复杂度。以一个多层剪切型建筑结构模型为例进行了仿真,并与LQR方法进行对比,仿真结果初步表明该方法具有较好的控制效果和鲁棒性。更多还原

【Abstract】 The building structure is uncertain because of the numerous uncertainties of seismic disturbances and structural parameters.Existing active control methods for reducing seismic responses of building structures,such as those of linear quadratic optimal control(LQR) etc,suffer from,in our opinion,the shortcoming that it is almost very difficult to guarantee the robust stability and performance of the closed-loop system in the presence of parameter uncertainties.In this paper,we present a new robust H ∞ optimal control approach that can provide a convenient design procedure for active controllers to facilitate the practical implementations of control systems by the use of a quadratic performance index and the use of an efficient solution procedure based on linear matrix inequalities(LMI).Such a new robust H ∞ optimal controller for buildings can be designed to guarantee the robust stability and performance of the closed-loop system in the presence of parameter uncertainties.An MDOF shear building model containing active brace systems is analyzed.In the simulation,the active control forces of the active brace systems are designed by the robust H ∞ optimal control algorithm and the structural system uncertainties are assumed in the model errors and seismic disturbance.The simulation results obtained from the proposed control method are compared with those obtained from LQR method,which shows preliminarily that the performance of robust H ∞ optimal controller is remarkable and robust.更多还原