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首页> 外文期刊>Automatic Control, IEEE Transactions on >Active Robust Fault Detection in Closed-Loop Systems: Quadratic Optimization Approach
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Active Robust Fault Detection in Closed-Loop Systems: Quadratic Optimization Approach

机译：闭环系统中的主动鲁棒故障检测：二次优化方法

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摘要

Active fault detection consists of finding an auxiliary input signal such that its use allows detection of faults using a multi-model framework. Faults can be detected during a test period that would otherwise not be possible to detect during normal operation using passive tests. In this paper, we consider the problem of optimal exogenous signal design for a linear uncertain system controlled by a linear feedback. This signal design is based on controller design criteria of linear quadratic regulators (LQR). Optimal exogenous signal design for short test periods is considered first. An efficient method is developed to solve the corresponding finite time-horizon optimization problem. Then the asymptotic behavior of the robust fault detection problem and its stationary optimal solution is considered. The optimal exogenous signal for the stationary case is given based on a frequency analysis of the solution. This signal can be used as an approximation on longer interval finite time-horizons. It is shown that a suitable feedback can reduce the cost function compared with the open-loop case.
机译：主动故障检测包括查找辅助输入信号，以便其使用允许使用多模型框架来检测故障。可以在测试期间检测到故障，否则将无法使用被动测试在正常操作期间检测到故障。在本文中，我们考虑了由线性反馈控制的线性不确定系统的最佳外源信号设计问题。该信号设计基于线性二次调节器（LQR）的控制器设计标准。首先考虑短测试周期的最佳外源信号设计。开发了一种有效的方法来解决相应的有限时间-水平优化问题。然后考虑了鲁棒故障检测问题的渐近行为及其平稳最优解。根据解决方案的频率分析，给出了固定情况下的最佳外源信号。该信号可用作较长时间间隔有限时间水平上的近似值。结果表明，与开环情况相比，合适的反馈可以降低成本函数。

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