Exponential synchronization of Genesio-Tesi chaotic systems with partially known uncertainties and completely unknown dead-zone nonlinearity

This paper is concerned with the problem of synchronization controller design for Genesio-Tesi chaotic systems with plant uncertainties and dead-zone input. The upper bounds of plant uncertainties are partially known, while dead-zone nonlinearity is completely unknown. The prior knowledge on the parameters in the uncertainties and dead-zone is not required to be known in advance. A novel control law with adaptive methodology is proposed to compensate for input nonlinearity. An adaptive law with exponent function is designed to estimate the unknown lumped parameters. It is shown that complete synchronization between two identical Genesio-Tesi chaotic systems is achieved and the synchronization errors converge to zero exponentially. Numerical studies are provided to illustrate the effectiveness of the presented scheme.