Synchronization of unified chaotic system by sliding mode/mixed H 2/H ∞ control

Abstract

This paper deals with the synchronization of uncertain unified chaotic system in the presence of two kinds of disturbances, white noise and bounded power signal. A sliding mode controller (SMC) is established to guarantee the sliding motion. Moreover, a proportional-integral (PI) switching surface is used to determine the performance of the system in the sliding motion. Also, by using a mixed H 2 /H ∞ approach, the effect of external disturbances on the sliding motion is reduced. The necessary parameters of constructing controller and switching surface are found via semidefinite programming (SDP) which can be solved effectively by a standard software. Finally, a numerical simulation is presented to show the effectiveness of the proposed method.

Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method

“…In addition, synchronization of the unified systems has studied by some researchers. Active pinning method in [22], adaptive control method in [40], sliding mode controller in [24] and [10], mixed sliding/H 2 /H ∞ method in [39], Impulsive control method in [11] and Q-S control method [38] are some of the investigated methods for synchronization of the unified chaotic systems. However, there is not any published article concentrating on MFPS of unified chaotic systems, which is the subject of this paper.…”