基于自适应奇异观测器的连续系统故障诊断

Fault Diagnosis for Linear Continuous System Based on Adaptive Descriptor Observer

针对连续系统的传感器与执行器故障诊断问题,提出一种自适应奇异观测器来进行故障估计,能同时估计系统中的传感器故障与执行器故障,并克服了以往研究中对故障、故障导数与系统干扰作上界已知假设的不足;利用H∞性能指标抑制了干扰对故障估计的影响;通过线性矩阵不等式来获得自适应奇异观测器的增益阵,从而很方便地完成故障诊断观测器的设计;采用Lyapunov泛函证明了观测误差动态系统是鲁棒渐近稳定的;最后通过仿真实例验证了所提方法的有效性。

For the sensor and actuator fault diagnosis problems in continuous system,an adaptive descriptor observer is proposed to fulfill fault estimation,and estimates the sensor fault and actuator fault in system simultaneously,and the proposed method overcomes shortcomings in the existing studies assuming that the upper of fault,fault derivative and system disturbance should be known.An H_∞ performance index is utilized to restrain the influence to fault estimation caused by disturbance.The gain matrices of the adaptive descriptor observer will be obtained by the linear matrix inequality,and then the proposed fault diagnosis observer can be designed conveniently.A Lyapunov function is used to prove the observer error dynamic system is robust asymptotically stable.Finally,a simulation example is employed to show the effectiveness of the proposed method.