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This paper mainly investigates two kinds of sliding mode synchronization (SMS) for multiple chaotic systems with unknown parameters and disturbances.
This paper investigates two classes of synchronization problems of multiple chaotic systems with unknown uncertainties and disturbances by employing sliding mode control.
For a special ring connection structure of multiple chaotic systems, a new transmission synchronization mode of multiple chaotic systems was proposed in [11].
At present, there are two different synchronization modes for synchronizing multiple chaotic systems.
In this paper, we have introduced two classes of different chaos synchronization modes among multiple chaotic systems, and we discussed the adaptive synchronization problems of multiple chaotic systems with unknown parameters.
Sun et al. and Jiang et al. investigated generalized combination synchronization of multiple chaotic systems in [8, 9], respectively.
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This paper studies a three-dimensional multiple chaotic system with three quadratic nonlinear terms.
(1) The results in [11, 15, 16, 27, 31] are extended to multiple chaotic system with unknown parameters.
For multiple uncoupled chaotic systems (MUCSs), the sliding mode control scheme is designed to ensure that multiple response systems synchronize with one drive system under the effects of external disturbances, and the appropriate adaptive laws are proposed to estimate unknown parameters.
For multiple coupled chaotic systems (MCCSs), the definition of transmission synchronization is given first.
(3) The proposed controllers and adaptive laws effectively realize the synchronization of multiple uncertain chaotic systems and estimate precisely unknown parameters.
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