In the presented work, two chaotic systems are fitted as generators into robots based on two wheels to observe its movement. Considering that obstacle avoidance and path following are the basic features in the robot, ...
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In the presented work, two chaotic systems are fitted as generators into robots based on two wheels to observe its movement. Considering that obstacle avoidance and path following are the basic features in the robot, we introduce new feature of key-based directional movement. In the situation, where Mobile Chaotic Robots get closer to an obstacle will ask the direction first and proceed accordingly. Due to this feature, such robots will be under the control of their users before facing specific obstacles. Taking three types of obstacles, i.e., circles, triangles, and rectangles as hurdles, each obstacle bear novel characteristics. In the case of obstacle avoidance for circles, four algorithms are presented to solve the problems of difference in size and type of polygons having three or four vertices itself. In second portion, three types of synchronizations techniques are used in the presence of the discussed obstacles, including two different robots synchronizes each other using adaptive controller, clusters of each robot using cluster synchronization, and generalized synchronization for synchronizing each group of cluster with their corresponding master robots. Numerical simulations are presented for demonstration.
In this study, the problem of synchronization of heterogeneous-driven response networks is introduced by using variable structure control strategy. First, the mathematical model of the heterogeneous-driven response ne...
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In this study, the problem of synchronization of heterogeneous-driven response networks is introduced by using variable structure control strategy. First, the mathematical model of the heterogeneous-driven response network is described, and the development history of variable structure control is outlined. Second, considering the coupling time delay of the heterogeneous-driven response network, two types of variable structure controls are designed based on sliding mode control and soft variable structure control theories. Finally, the effectiveness of the two variable structure controls is verified through numerical simulation experiments, and a discussion on their advantages and disadvantages is provided.
This paper presents a new scheme to achieve generalized synchronization（GS） between different discrete-time chaotic（hyperchaotic） *** approach is based on a theorem,which assures that GS is achieved when a structu...
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This paper presents a new scheme to achieve generalized synchronization（GS） between different discrete-time chaotic（hyperchaotic） *** approach is based on a theorem,which assures that GS is achieved when a structural condition on the considered class of response systems is *** method presents some useful features：it enables exact GS to be achieved in finite time（i.e.,dead-beat synchronization）;it is rigorous,systematic,and straightforward in checking GS;it can be applied to a wide class of chaotic *** examples of GS,including the Grassi-Miller map and a recently introduced minimal 2-D quadratic map,are illustrated.
A fractional-order weighted complex network consists of a number of nodes, which are the fractional-order chaotic systems, and weighted connections between the nodes. In this paper, we investigate generalized chaotic ...
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A fractional-order weighted complex network consists of a number of nodes, which are the fractional-order chaotic systems, and weighted connections between the nodes. In this paper, we investigate generalized chaotic synchronization of the general fractional-order weighted complex dynamical networks with nonidentical nodes. The well-studied integer-order complex networks are the special cases of the fractional-order ones. Based on the stability theory of linear fraction-order systems, the nonlinear controllers are designed to make the fractional-order complex dynamical networks with distinct nodes asymptotically synchronize onto any smooth goal dynamics. Numerical simulations are provided to verify the theoretical results. It is worth noting that the synchronization effect sensitively depends on both the fractional order theta and the feedback gain k (i) . Moreover, generalized synchronization of the fractional-order weighted networks can still be achieved effectively with the existence of noise perturbation.
A new method for secure information transmission based on generalized synchronization is proposed. The principal advantage of it is a remarkable stability to noise. To reveal this peculiarity of the proposed method th...
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A new method for secure information transmission based on generalized synchronization is proposed. The principal advantage of it is a remarkable stability to noise. To reveal this peculiarity of the proposed method the effectiveness of the detection of the information signal from the transmitted one in the presence of noise in the communication channel is examined both for the proposed scheme and for the schemes of chaotic communication known already. The main ideas of the proposed method are illustrated by the example of coupled Rossler systems used both transmitter and receiver. (C) 2010 Elsevier B.V. All rights reserved.
This paper investigates the two problems of generalized chaotic synchronization. In one case, the Chen system is treated as the drive system and the controlled Rucklidge system as the response system. In the other cas...
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This paper investigates the two problems of generalized chaotic synchronization. In one case, the Chen system is treated as the drive system and the controlled Rucklidge system as the response system. In the other case, we choose the Rucklidge system as the drive system and the controlled Chen system as the response system. For each case, a scalar control input and a state transformation are proposed by using the differential geometric approach when a simple condition holds. Under the scalar control input and the state transformation, the trajectory of the response system can track the trajectory of the drive system no matter what initial values of the two systems. The two generalized synchronizations realized in this paper reveal the Rucklidge system and the Chen system are similar in some sense although their system equations are quite different. Finally, several numerical simulations are studied to demonstrate the control schemes given in this paper.
The fuzzy logic constant controller (FLCC) is introduced in this paper. Unlike traditional method, a simplest controller is proposed via fuzzy logic design and Lyapunov direct method. Controllers in traditional method...
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The fuzzy logic constant controller (FLCC) is introduced in this paper. Unlike traditional method, a simplest controller is proposed via fuzzy logic design and Lyapunov direct method. Controllers in traditional method by Lyapunov direct method are always complicated or the functions of errors. We propose a new idea to design constant numbers as controllers, while the constant numbers are decided by the upper bound and the lower bound of the error derivatives. Via fuzzy logic rules, the strength of controllers in our new approach can be adjusted according to the error derivatives. Consequently, the slave system becomes exactly and efficiently synchronized to the trajectory of master system through FLCC. Two examples, Lorenz system and four order Chen-Lee system, are presented to illustrate the effectiveness of the new controllers in chaos generalized synchronization. (C) 2010 Elsevier Ltd. All rights reserved.
A novel active backstepping control method is presented for synchronizing two identical Rossler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system ...
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A novel active backstepping control method is presented for synchronizing two identical Rossler hyperchaotic systems with each other, and extended to achieve the generalized synchronization of the Chua chaotic system with the Rossler hyperchaotic system. It is a systematic design approach and consists of a recursive procedure interlacing the choice of a Lyapunov function with the design of active control. In particular, this technique gives flexibility in constructing a control law. Numerical experiments verify the feasibility and effectiveness of the proposed control technique.
In this paper, the generalized synchronization of nonlinear chaotic systems is investigated. Based upon reversibility of the Jacobian matrix and matrix theory, we carry out a series of elementary column transformation...
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In this paper, the generalized synchronization of nonlinear chaotic systems is investigated. Based upon reversibility of the Jacobian matrix and matrix theory, we carry out a series of elementary column transformations to Jacobian matrix. And then, according to Lyapunov function theory, sufficient conditions for generalized synchronization between drive system and response system with different dimensions are obtained. Numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. (C) 2014 Elsevier GmbH. All rights reserved.
In this paper,using scalar feedback controller and stability theory of fractional-order systems,a gener-alized synchronization method for different fractional-order chaotic systems is *** results show theeffectiveness...
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In this paper,using scalar feedback controller and stability theory of fractional-order systems,a gener-alized synchronization method for different fractional-order chaotic systems is *** results show theeffectiveness of the theoretical results.
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