Differential Flatness Theory for Chaotic Dynamical Systems
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The chapter analyzes differential flatness theory-based methods for nonlinear filtering and nonlinear control which can be applied to chaotic dynamical systems. A solution to the problem of control of nonlinear chaotic dynamical systems is proposed first, which is based on differential flatness theory and on adaptive fuzzy control. Next, differential flatness theory is exploited for developing a chaotic communication system. A differential flatness theory-based Kalman Filtering approach is used for performing blind equalization of the chaotic communication channel and for the synchronization between the transmitter and the receiver.