| Summary: | According to the problem that the mathematical model of the fuel supply system of the high-temperature high-speed wind tunnel is hard to be established, this article uses the method which combines the mechanism modeling method and system identification to establish the equivalence mathematical model of the fuel supply system. First, according to the working principle of the system, the original mathematical model of the fuel supply system is established using mechanism modeling method; the characteristics of the system are analyzed, and the unknown parameters and time-varying parameters are ascertained, that is to say, the prior knowledge of the system is obtained. Then, unknown uncertain parameters of the system are estimated using least square method, so the equivalence mathematical model of the fuel supply system can be obtained. The simulation and experimental results show that the mathematical model of the fuel supply system established in this article has high precision and can be used as an actual model in the control of the fuel flow rate.
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