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Identification of Piecewise affine Systems with Hysteresis Model
Masood Askari,Haider A. F. Mohamed,Mahmoud Moghavvemi,S. S. Yang 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10
A general nonlinear system can be identified as a piecewise affine system by approximating a nonlinear function using a piecewise affine one with arbitrary accuracy. In this paper, the problem of identifying discrete-time hybrid systems in the piecewise affine form where the discrete state depends on continuous state with a hysteresis function is addressed. The first step of the proposed identification method is the estimation of the local parameter vectors for small neighborhood of each measured data point. Then the local parameter vectors are clustered. Finally, the threshold levels of the hysteresis function which defines the discrete state are estimated.