A new modeling method for a nonlinear system by using equilibrium manifold (EM) and its expansion model (EME model) was presented. The property of the EME model was discussed, and the effect of mapping design to the model has been discussed. This paper also has researched the adaptivity analysis to the EME model. Then an approximate nonlinear model for an aircraft engine is applied, followed by an identification procedure for an aircraft engine. Simulations showed good precision of this model in capturing the nonlinear behavior of nonlinearities and had the simpler structure.
Nonlinear System Modeling and Application Based on System Equilibrium Manifold and Expansion Model
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 25, 2013; final manuscript received August 29, 2013; published online October 30, 2013. Assoc. Editor: Stefano Lenci.
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Liu, X., and Yuan, Y. (October 30, 2013). "Nonlinear System Modeling and Application Based on System Equilibrium Manifold and Expansion Model." ASME. J. Comput. Nonlinear Dynam. April 2014; 9(2): 021013. https://doi.org/10.1115/1.4025478
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