ABSTRACT PID control is widely used in vibration control systems. However, there are various uncertainties present in practical engineering, and the PID parameters obtained from a deterministic system may fail. Thus, reliability estimation is necessary to solve this problem. To avoid the disadvantages of traditional probabilistic methods, a non-probability based method to calculate time-dependent reliability is introduced to estimate the safety of a vibration active control system of based on PID controller performance. Next, the subinterval method is used to calculate a closed-loop response with large uncertainties and the first-passage theory is utilized to calculate the time-dependent reliability. Finally, one discrete mass-spring-damper system is analyzed for comparison with the collocation method and two panel structures (an elastic panel and a solar panel) are reliability evaluated to show the effects of the number of PID controllers and the displacement constraints.

中文翻译：

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基于PID控制器的振动主动控制系统风险评估区间动态可靠性计算方法

摘要 PID 控制广泛应用于振动控制系统。然而，实际工程中存在各种不确定性，从确定性系统获得的PID参数可能会失效。因此，需要可靠性估计来解决这个问题。为避免传统概率方法的缺点，引入了一种基于非概率的时间相关可靠性计算方法，以估计基于PID控制器性能的振动主动控制系统的安全性。接下来，采用子区间法计算具有较大不确定性的闭环响应，并利用首过理论计算瞬态可靠性。最后，