Modeling and adaptive analysis for nonlinear system based on system equilibrium manifold expansion model

System´s equilibrium manifold is basically one nonlinear approximate model. And modeling error was determined by the mapping method of equilibrium manifold expansion model. In this paper, a system equilibrium manifold expansion model was proposed, and throughout the identification and calculation a deterioration equilibrium manifold expansion model of two-spool turbofan engine high-pressure compressor was developed. Simulations compared with nonlinear component-level model of this type turbofan engine showed the same modeling accuracy with nonlinear model. This model can further enhance the onboard estimation of aero engine.