框架结构主动控制系统可靠性研究

Reliability Study on Active Control System of Frame Structures

针对建立在系统稳定性基础上的可靠性计算方法对框架结构来讲过于复杂和可操作性差。提出了一种新的计算方法 ,该方法在随机变量均值处形成一次状态矩阵 ,利用随机变量的变化来确定状态方程的特征参数的均值和方差 ,使计算量大大减少及可操作性大为提高。在控制方法上 ,选择了对系统不确定性具有较好控制效果的广义预测控制进行可靠性分析。给出了计算实例 ,算例表明这一方法是有效的。

Because of the uncertainty inherent in active control system, the probabilistic stability measure under the influence of uncertainty factors is essential to control system. The original calculation of system reliability based on system stability is very complex and has poor maneuverability to frame structures. A new approach, which only forms state matrix once and utilizes the change of random variables to solve the mean and standard deviation of eigen-parameters of state equation, is presented and correlative calculation formulae are provided. It has less computational work and better implementation performance. Meanwhile, the generalized predictive control method which has a better control effect on uncertainty systems, is used to analyze system reliability. Finally, a numerical example is presented to show the effectiveness of the method.