Nonlinear System Modeling and Application Based on System Equilibrium Manifold and Expansion Model

Author:

Liu Xiaofeng1,Yuan Ye2

Affiliation:

1. School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China e-mail:

2. School of Power and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China e-mail:

Abstract

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Reference25 articles.

1. Perspectives on System Identification;Ann. Rev. Control,2010

2. Fuzzy Local Linearization and Local Basis Function Expansion in Nonlinear System Modeling;Syst. Man Cybernet B Cybernet,1999

3. Zhao, Q., and Bohn, C. A., 2013, “Linearization Free Recursive Prediction Error Method for Combined State and Parameter Estimation for Nonlinear Systems,” American Control Conference (ACC), IEEE, pp. 899–904.

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