多指标LMI鲁棒故障检测滤波器在卫星姿态控制系统中的应用

Applications of Robust Fault Detection Filter via Multi-Indexes LMI for Satellite Attitude Control System

卫星在轨运行中,需要对其故障进行及时的检测,模型的不确定性使得如何在轨卫星的故障检测产生了很大的干扰。以往的方法是将故障、输入和干扰统一作为广义输入,通过H∞范数增益最小使得系统残差最大程度地接近于故障,然而这不能反映故障、输入和干扰三者的重要关系。为此需要研究三者到残差增益的多指标下,滤波器的参数设计方法。以推导从三者到残差的传递函数表达式为主要方法,以线性矩阵不等式为工具,把指标化为可求解模型,得到多指标下的故障检测滤波器设计方法。设计的滤波器应用于采用喷气执行机构的在轨卫星模型里,给出了滤波器的设计结果。从仿真的结果看,虽然三个增益无法满足同时远远小于1的条件,但通过自适应的阈值,可实现对在轨喷气执行器卫星的鲁棒故障检测。

Fault detection is important in satellite attitude control.Some great disturbance and model uncertainty make this task a difficult work.In the past,fault,input and disturbance are seen as a generalized input.Then residual is made close to fault by making infinite norm of gain minimum.In the past,the importance of fault,input and disturb is equal,which was not the best choice.So a novel method for designing a filter should be put out.The fault detection filter is designed by using the linear matrix inequality（LMI）.This filter contains three different indexes.It is applied in an orbiting satellite model on witch fault may happen in its jet actuator.Parameters of the filter are calculated and simulation is done.Although three indexes can not be far less than 1,this filter still can be uesd for fault detection by using adapitve threshold.The result of the simulation is demonstrated.