Adaptive synchronization of memristor-based Chuaʼs circuits

In this Letter, a memristor-based Chuaʼs system is presented, and the chaotic behavior of this system is demonstrated by phase portraits. This Letter also deals with the problem of adaptive synchronization control of this chaotic system using the drive–response concept, and presents an adaptive control scheme for the synchronization of memristor-based Chuaʼs circuit, when the parameters of the drive system are fully unknown and different with those of the response system. The sufficient condition for the adaptive synchronization has been analyzed. Moreover, the controller design method is further extended to more general cases, where the physical plant contains parameter uncertainties, represented in either polytopic or structured frameworks. Numerical simulations are used to demonstrate these results.

► In this Letter, a memristor-based Chuaʼs system is presented, and the chaotic behavior of this system is demonstrated by phase portraits.
► Presents an adaptive control scheme for the synchronization of memristor-based Chuaʼs circuit.
► The parameters of the drive system are fully unknown and different with those of the response system.