考虑输出量化的控制系统传感器故障检测

针对一类考虑输出均匀量化的控制系统,研究了传感器故障下的故障检测问题。首先,从优化的角度出发,考虑残差对未知干扰的鲁棒性和对传感器故障灵敏性之间的折中问题,给出了H∞/H∞性能指标,并通过求解代数黎卡提方程得出最优残差生成器的增益矩阵;然后,利用量化误差的随机过程特性,设计了残差评价器,同时给出了所设计阈值误报率的上确界;最后,数值仿真结果显示,系统能够快速准确地检测出传感器故障,验证了所提方法的有效性。

Detection of Sensor Fault for Control Systems Considering Output Quantization

This paper studies the fault detection problem of sensor fault for a class of control systems considering output uniform quantization.First,considering the problem of trade-off,between the robustness of residual to unknown disturbances and the sensitivity of residual to sensor fault,the performance index H∞/H∞is given from the perspective of optimization,and the gain matrices of optimal residual generator are obtained by solving algebraic Riccati equation.Next,the residual evaluator is designed by using the random process characteristics of quantization error.Meanwhile,the upper bound of false alarm rate of the designed threshold is deduced.Finally,the results of the numerical simulation show that the system can detect sensor fault quickly and accurately,which verifies the effectiveness of the fault detection approach proposed in this paper.