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This study presents an application of Iterative Learning Control Theory (ILC) for synchronization between two chaotic systems with output signal error. The iterative learning law illustrates the relationship between (i-1)-th iterative error output of drive-response system and iterative (i-th) input of response system. The error convergent describes the path response system tracking the trajectory...
In this paper, a hybrid synchronization of multiple fractional-order systems with ring connection is proposed. For such schema, the complete synchronization (CS) and the complete anti-synchronization (AS) are investigated in order to coexist. To illustrate the effectiveness of the described schema, four non-identical fractional-order systems are synchronized. Finally, numerical simulations are shown...
This paper presents a new way to transmit and retrieve an information signal via chaotic systems based on shape synchronization. In contrast to existing schema with chaotic synchronization, the scheme is adopted for the purpose of faster synchronization and high security. Firstly, the drive signals are synthesized chaotic signal instead of drive variables in order to high security. Secondly, the drive...
In this paper, sliding mode based control and synchronization scheme is proposed for a new four-dimensional chaotic system named as modified Lorenz-Stenflo (MLS) system. By selecting Proportional-Integral (PI) switching surface appropriately, a sliding mode controller is designed. This controller guarantees the occurrence of sliding motion and achieves synchronization of MLS chaotic systems in master-...
To synchronize chaotic systems with training data corrupted by noise or rule uncertainties involving external disturbances, a novel direct adaptive interval type-2 fuzzy neural network (FNN) controller in which linguistic fuzzy control rules can be directly incorporated into the controller is developed in this paper. By incorporating direct adaptive interval type-2 FNN control scheme and sliding mode...
This paper addresses a unified mathematical expression describing a class of chaotic and hyper-chaotic systems, for which the problem of synchronization between different chaotic and hyper-chaotic systems with uncertain parameters is studied. Based on the Lyapunov stability theory, a novel, simple and systemic adaptive synchronization controller is designated, the analytic expression of the controller...
Chaos synchronization system is significant in future practice. Impulsive control is an effective method for generation of chaos synchronization. Based on analysis of critical state in chaos systems, a new impulsive synchronization approach is put forward, and the construction of synchronic system is schemed. Through analyzing the critical state of the strange attractor in chaos systems, it reveals...
In this paper we introduced a method to estimate the additive noise in driving signals, this method is grounded on the average deviation rate of response system in a short period. We consider each noise point as a perturbation to initial condition of the chaotic system, and then estimate the evolution of perturbation by seeking the relations between average deviation rate lambda and time T. Lorenz...
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