In this paper, a sliding mode (SM) parameter limit regulating system is designed to regulate the fuel flow rate to the turbofan engine. Firstly, a linear engine model is identified using a general engine dynamic nonlinear model. Then based on the one Lyapunov function, one SM parameter limit regulating system is designed mainly including regulators design, selector design and integrator design. After that the feedback gains and coefficient sets (switching gain and boundary thickness for every regulator) of the SM regulators are optimized and chosen. Finally, the global asymptotical stability of the regulating system is demonstrated. The simulation results also show that SM parameter limit regulator functions all the time during engine transient state control process, and the design SM parameter limit regulating system ensures that the target steady speed state or limit steady state can be attained in finite time interval without exceeding critical parameter limits.

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