Variable Structure Control for Synchronization of Chaotic Systems with Structure or Parameters Mismatching

Abstract

A new scheme was put forward to synchronize chaotic systems with structure or parameters mismatching. Applying nonlinear differential geometry theory, the chaotic discrepancy system was transformed into a canonical form. A feedback control for synchronization two chaotic systems is proposed based on variable structure control design. To make this controller physically realizable, an extended state observer is used to estimate the difference between the transmitter and receiver. Two illustrative examples are carried out. 1) The Chua oscillator is used to show that the synchronization is obtained and message signal is recovered in spite of parametric variations. 2) Two second-order driven oscillators are presented to show that the synchronization can be obtained and the message can be recovered in spite of strictly different model