Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method

Abstract

This paper concerns with the fixed time control and synchronization of a class of uncertain chaotic systems by way of the passive control. Firstly, in the light of passivity theory and fixed time stability, some effective robust passive controllers are designed to force the system trajectories to the origin in a specified time. Secondly, a valid synchronization strategy is proposed to realize the global fixed time chaos synchronization by using the passive control. In our control strategy, the chaotic system can be regarded as a passive system under the given controllers, and the convergence time of the controlled system can be predefined in spite of initial values. Finally, the validity of control and synchronization schemes are confirmed by the numerical examples.