Article ID Journal Published Year Pages File Type
755867 Communications in Nonlinear Science and Numerical Simulation 2013 14 Pages PDF
Abstract

In this paper we present a fractional order Chua’s circuit that behaves chaotically based on the use of a fractional order low pass filter. Next, an integer order robust observer will be designed to synchronize the fractional order Chua’s circuit as well as integer order Chua’s circuit with unknown nonlinearity. This method consists in designing a Luenberger like observer appended with an estimator of the unknown nonlinear function. The estimator assumes that the nonlinear function is slowly varying and that the observer converges quickly and uses the backward difference formula to approximate the state derivative. The efficiency of the proposed method is confirmed using numerical simulations.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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