A finite-time adaptive order estimation approach for non-integer order nonlinear systems
S Sepehr Tabatabaei1, Mahdi Tavakoli2, Heidar Ali Talebi3
1Department of Electrical Engineering, Shahreza Campus, University of Isfahan, Iran.
Abstract:
This paper proposes some methods for estimating the order of nonlinear systems having non-integer order. First, the stability of time-varying order systems is studied. Afterward, the multivariable systems with time-varying incommensurate order are studied and an estimation scheme is proposed to approximate the order. In the next step, considering the pseudo-states of a system to be unknown, an order/pseudo-state estimator is designed for a category of nonlinear systems. It is shown that the method is extendible to form order/pseudo-state estimators for other classes of nonlinear systems using other traditional nonlinear observers. One of the advantages of the proposed methods is that a compact time interval is enough to guarantee bounded estimation error.
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