Abstract
An analytical redundancy in the automatic control system of a bypass turbojet engine(ACS turbofan engine) based on optimal observers is proposed. This article is based on previouslyobtained results in previous author's works and is a generalization and analysis of these results inorder to develop a methodology for improving the fault tolerance of ACS turbofan engines. Thismethod is based on the use of optimal observers: the Kalman filter and the Yazvinsky filter, consistentwith the mathematical model of the ACS turbofan engine. The analysis of the mathematical model ofthe ACS was carried out using the least squares method in a moving window. The accuracy of identificationof the mathematical model and the required delay time are ensured by optimizing the widthof the moving window. Estimated with the help of optimal observers, the output vector of the ACSturbofan engine includes the following parameters: the rotor speed of the low-pressure compressorrotor nв, the rotor speed of the high-pressure compressor nk, the air pressure behind the highpressurecompressor PK, the gas temperature behind the low-pressure turbine TT. When modeling theKalman filter, a correlation analysis of the input signals was preliminarily carried out. The rationalefor the advantage of the adaptive Yazvinsky filter compared to the Kalman filter is given. The resultsof mathematical modeling of the algorithmic method of reserving the measurement channel of theACS turbofan engine based on the data of flight tests of a bypass engine of the PS-90A type as part ofthe main narrow-body aircraft TU-214 both in stationary and transient modes are presented. Statisticalanalysis of errors in estimation of the output vector of ACS turbofan engines based on the Kalmanand Yazvinsky filter has been carried out. It is shown that the proposed analytical redundancy algorithmensures the fulfillment of the requirements for the accuracy and stability of estimates of theoutput vector of ACS turbofan engines when using the Yazvinsky filter and can be recommended foruse in advanced ACS turbofan engines. Based on the results proposed redundancy method, a directionfor further research has been formed.
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