关键词: 故障诊断, 降维观测器, 最优增益, 对偶原理, 故障补偿

Abstract: Inordertoreducethecalculationcapacityoffaultdiagnosisalgorithmsandoptimizethealgorithmparameters,anoptimalfaultdiagnosisalgorithmbasedonreducedorderobserverwasproposed.Firstly,areducedorderobserverwasdesignedtoestimatethefaultwithoutcomplexmatrixblockingoperationbydecouplingthestatesofsystemandstatesoffaultbasedontheprincipleoforthogonality.Secondly,theproblemofdeterminingtheobservergainwastranslatedtotheproblemofdesigningoptimalcontrollerforthedualsystemoffaultdiagnosiserrorsystem,basedonwhichtheminimumvarianceestimationoffaultwasimplemented.Thirdly,afaulttolerantcontrollerwasproposedtocompensatethefaultinfluencebyutilizingtheresultofdiagnosis,soastosegregatethesystemwithfaults.Finally,anumericalsimulationwascarriedouttoverifytheeffectivenessoftheproposedmethod.Theresultshowsthatthedesigneddiagnosisalgorithmcanfastconvergetotherealvalueoffaultin7secondsforatwoordersystem.

Key words: reducedorderobserver, optimalgain, principleofduality, faultcompensation