Hybrid Synchronization Research Articles

A Comprehensive Analysis on Controlling and Hybrid Synchronization in Identical Chaotic Systems via Active Control Method

The current research provides the potential role of active nonlinear control functions in the asymptotic convergence of the synchronized errors in a comprehensive manner. Firstly, we design a systematic procedure to investigate hybrid synchronization in identical chaotic chemical reactor systems via active control method (ACM). In view of master-slave configuration and Lyapunov’s theory of stability, the considered methodology determines the global asymptotic stability of the error dynamics of the given system. Finally, numerical simulations using MATLAB toolbox are implemented for illustrating the efficacy and feasibility of the discussed strategy.

A New Hybrid Synchronization PLL Scheme for Interconnecting Renewable Energy Sources to an Abnormal Electric Grid

Today, and especially with the growing interest in distributed renewable energy sources (DRESs), modern electric power systems are becoming more and more complex. In order to increase DRES penetration, grid side converter (GSC) control techniques require appropriate synchronization algorithms that are able to detect the grid voltage status as fast and accurately as possible. The drawbacks of the published synchronization phase-locked loop (PLL) techniques were structured mainly around the slow dynamic responses, the inaccuracy of extracting the fundamental components of the grid voltages when they contain a DC offset, and the worsening of the imbalance rejection ability facing significant frequency changing. This paper proposes a new synchronization PLL technique ensuring efficient and reliable integration of DRESs under normal, abnormal, and harmonically distorted grid conditions. The proposed PLL uses the mixed second- and third-order generalized integrator (MSTOGI) in the prefiltering stage through its adaptability to power quality and numerous grid conditions and its low sensitivity to input DC and inter-harmonics. Moreover, a modified quasi type-1 PLL (MQT1-PLL), which integrates two compensation blocks for phase and amplitude errors, respectively, has been used in the control loop. The discussion of sizing requirements and the effectiveness of the so-called MSTOGI-MQT1-PLL are tested under grid voltage imbalances and distortions and confirmed through simulation results compared to double second-order generalized integrator PLL (DSOGI-PLL), cascaded delayed signal cancellation PLL (CDSC-PLL), and multiple delayed-signal cancellation PLL (MDSC-PLL).

Modified hybrid combination synchronization of chaotic fractional order systems

The paper investigates a new hybrid synchronization called modified hybrid synchronization (MHS) via the active control technique. Using the active control technique, stable controllers which enable the realization of the coexistence of complete synchronization and anti-synchronization in four identical fractional order chaotic systems were derived. Numerical simulations were presented to confirm the effectiveness of the analytical technique.

A Fractional-Order Sinusoidal Discrete Map.

In this paper, a novel fractional-order discrete map with a sinusoidal function possessing typical nonlinear features, including chaos and bifurcations, is proposed. Firstly, the basic properties involving the stability of the equilibrium points and the symmetry of the map are studied by theoretical analysis. Secondly, the dynamics of the map in commensurate-order and incommensurate-order cases with initial conditions belonging to different basins of attraction is investigated by numerical simulations. The bifurcation types and influential parameters of the map are analyzed via nonlinear tools. Hopf, period-doubling, and symmetry-breaking bifurcations are observed when a parameter or an order is varied. Bifurcation diagrams and maximum Lyapunov exponent spectrums, with both a variation in a system parameter and an order or two orders, are shown in a three-dimensional space. A comparison of the bifurcations in fractional-order and integral-order cases shows that the variation in an order has no effect on the symmetry-breaking bifurcation point. Finally, the heterogeneous hybrid synchronization of the map is realized by designing suitable controllers. It is worth noting that the increase in a derivative order can promote the synchronization speed for the fractional-order discrete map.

Applying Dynamic Systems to Social Media by Using Controlling Stability.

This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When , where Y and X are the state vectors of the drive and response systems, respectively, and Wan (α = ∓1)), the two systems' hybrid synchronization phenomena are realized mathematically. Nonlinear control is used to create four alternative error stabilization controllers that are based on two basic tools: Lyapunov stability theory and the linearization approach.

Observer‐based hybrid synchronization control of multiagent systems under dynamic need‐based communication policies

AbstractThis article focuses on the problem of observer‐based synchronization control of multi‐agent systems (MASs) subject to chattering phenomenon. Considering that full states of agents are not available and the limited network bandwidth of MAS networks exists, a novel observer‐based hybrid event‐triggered communication (or called need‐based communication) policy is exploited for synchronization of MASs, which is implemented in a fully distributed fashion without requiring any prior knowledge of global network parameters over an undirected graph. Then, to release the limitation of applications for the synchronous algorithm in undirected graphs, an observer‐based hybrid event‐triggered leader‐follower protocol and corresponding to its static triggering policy are developed to study the tracking control problem in a directed graph. Besides, the dynamic triggering policy is proposed by introducing an extra key variable for the directed graph case to reduce considerable triggering instants compared with the static one, which also subsume several existing synchronization schemes as special cases. It is shown that the proposed observer‐based event‐triggered policies can guarantee that leaderless and leader‐following synchronization with intermitted communications among agents. Moreover, Zeno behavior can be excluded. Finally, the practical merits of the proposed methods are corroborated using two numerical examples.

Dynamic Mathematical Models’ System and Synchronization

We created the equilibrium, which includes sickness outcomes, health and risk behaviors, environmental factors, and health-related assets and delivery systems, and it should be incorporated in system Dyc (dynamic) modelling of chronic disease prevention. System Dyc has the ability to model a variety of interconnected illnesses and dangers, as well as the interaction between delivery systems and afflicted people, as well as state and national policies. This paper proposes a unique idea. Hybrid synchronization utilizes four positive LYP (Lyapunov) exponents based on state feedback management with two identical systems of the Lorenz system 6D HYCH system.

Stabilization and hybrid synchronization via the adaptive control method of non-identical 4-D financial hyper-chaotic systems

Stabilization and hybrid synchronization via the adaptive control method of non-identical 4-D financial hyper-chaotic systems

Synchronization in 5G networks: a hybrid Bayesian approach toward clock offset/skew estimation and its impact on localization

Clock synchronization has always been a major challenge when designing wireless networks. This work focuses on tackling the time synchronization problem in 5G networks by adopting a hybrid Bayesian approach for clock offset and skew estimation. Furthermore, we provide an in-depth analysis of the impact of the proposed approach on a synchronization-sensitive service, i.e., localization. Specifically, we expose the substantial benefit of belief propagation (BP) running on factor graphs (FGs) in achieving precise network-wide synchronization. Moreover, we take advantage of Bayesian recursive filtering (BRF) to mitigate the time-stamping error in pairwise synchronization. Finally, we reveal the merit of hybrid synchronization by dividing a large-scale network into local synchronization domains and applying the most suitable synchronization algorithm (BP- or BRF-based) on each domain. The performance of the hybrid approach is then evaluated in terms of the root mean square errors (RMSEs) of the clock offset, clock skew, and the position estimation. According to the simulations, in spite of the simplifications in the hybrid approach, RMSEs of clock offset, clock skew, and position estimation remain below 10 ns, 1 ppm, and 1.5 m, respectively.

Retracted] Dynamic Systems Enhanced by Electronic Circuits on 7D

Hybrid synchronization is one of the most significant aspects of a dynamic system. We achieve nonlinear control unit results to synchronize two comparable 7D structures in this study. Many dynamic systems are directly connected to health care and directly enhance health. We employed linearization and Lyapunov as analytical methods, and since the linearization method does not need updating the Lyapunov function, it is more successful in achieving synchronization phenomena with better outcomes than the Lyapunov method. The two methods were combined, and the result was a striking resemblance to the dynamic system’s mistake. The mathematical system with control and error of the dynamic system was subjected to digital emulation. The digital good outcomes were comparable to the two methods previously stated. We compared the outcomes of three hybrid synchronizations based on Lyapunov and linearization methods. Finally, we used the existing system, presenting it in a new attractor and comparing the findings to those of other similar systems.

A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization.

In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. Various important features of the novel model are analyzed, including equilibria points, stability, and Lyapunov exponents. The numerical simulation shows that the new class exhibits dynamical behaviors such as chaotic and hyperchaotic. This paper also presents the hybrid synchronization for a novel model via Lyapunov stability theory.

WITHDRAWN: Hybrid synchronization for a novel class of 6D system with unstable equilibrium points

Abstract In recent years, the classification of attractor’s systems witnessed a lot of interest because of its important applications in various fields. Via utilizing a state feedback control in the 5D hyperchaotic Lorenz model, a new three unstable equilibrium points hyperchaotic model is reported. Despite the newly constructed system is simple, six-dimensional (6D) with eighteen terms, including three quadratic nonlinearities, it can possess self-excited attractors. The complicated self-excited attractor's dynamic various characteristics of this model are discovered using Lyapunov exponents, stability, and so on. In addition, the corresponding implementation hybrid synchronization (HS) between two identical for a new system by linearization and Lyapunov stability methods via four different controllers. Finally, the theoretical results are compatible with numerical simulations.

Hybrid synchronization of high-dimensional chaos with self-excited attractors

The phenomena of Hybrid Synchronization (HS)-based has widely been utilized to provide higher security and privacy in the field of secure communication by integrating the nonlinear control strategy with the Lyapunov stability theory. To address the dynamic information resulted from sending picture and messages, this paper present another approach which called a Linearization technique to replace traditional Lyapunov stability theory. The Linearization approach can achieve convergence according to the hybrid synchronization attitude. The proposed method is verified using two non-identical 6-D hyperchaotic systems with a self-excited attractor. Experimental results indicate that the proposed tool can significant improvement in results precision under the conditions of hybrid synchronization and specific Lyapunov function unavailability. Numerical simulations are carried out by using MATLAB to validate the effectiveness of the analytical technique.

Clock Offset and Skew Estimation Using Hybrid One-Way Message Dissemination and Two-Way Timestamp Free Synchronization in Wireless Sensor Networks

In practical wireless sensor networks, time synchronization functions are usually integrated in existing network transmissions to minimize total energy consumption. In this letter, a hybrid synchronization scheme using one-way message dissemination and emerging timestamp-free synchronization is developed for wireless sensor networks without additional communication overhead, which not only estimates the fixed delay efficiently but also provides improved clock offset estimation. Under Gaussian delay model, the maximum likelihood estimator for the joint estimation of clock offset, skew and fixed delay is derived, as well as corresponding Cramer-Rao lower bounds. Simulation results demonstrate significant performance enhancement of the hybrid approach.

Dislocated hybrid synchronization via. tracking control & parameter estimation methods with application

ABSTRACT In this article the dislocated hybrid synchronization between chaotic systems of different structures viz. real integer order and complex fractional order have been performed using two control methods viz. tracking control method and parameter estimation adaptive method. Illustrative example of the application of synchronization in secure communication has been performed. Numerical simulations have been performed using MATLAB which verify the efficacy of both the methods and help compare results.

Effective-potential approach to hybrid synchronization transitions.

The Kuramoto model exhibits different types of synchronization transitions depending on the type of natural frequency distribution. To obtain these results, the Kuramoto self-consistency equation (SCE) approach has been used successfully. However, this approach affords only limited understanding of more detailed properties such as the stability. Here we extend the SCE approach by introducing an effective potential, that is, an integral version of the SCE. We examine the landscape of this effective potential for second-order, first-order, and hybrid synchronization transitions in the thermodynamic limit. In particular, for the hybrid transition, we find that the minimum of effective potential displays a plateau across the region in which the order parameter jumps. This result suggests that the effective potential can be used to determine a type of synchronization transition.

Pinning Synchronization of Independent Chaotic Systems on Complex Networks with Double Delays

In this paper, aiming at the problem of different signals acting on the same node on a complex network with double time delay, two independent chaotic systems are established, a complex network model with both node delay and coupling delay is constructed. And the synchronization error condition of complex networks with double time delay is analyzed, by applying appropriate pinning controller on the complex network nodes with double time delay, some network nodes are controlled to investigate the problem of hybrid synchronization. Selecting the appropriate Lyapunov function, basing on the Lasalle invariance principle and the linear matrix inequality characteristic, the sufficient conditions for hybrid synchronization of node delay and coupling delay complex networks are given. Finally, the numerical simulation is presented, and the results indicate it is feasible and verified to realize the hybrid synchronization of two independent chaotic systems on the complex network with node delay and coupling delay.

Coordinated Control of Aichi Microgrid for Efficient Power Management Using Novel Set Point Weighting Iterative Learning Controller

A novel Set Point Weighting Iterative Learning Controller (SPW-ILC) has been proposed for voltage stabilization at AC/DC bus, coordinated control among the distributed sources in the modeled hybrid microgrid (HMG) and synchronization of HMG with utility grid. The Aichi Micro grid test system located at Aichi Institute of Technology, Japan has been considered for the simulation studies and modeled in MATLAB/Simulink environment. The Aichi microgrid can be operated in autonomous mode as AC system and DC system. When it is working as DC system, the dc bus voltage is maintained stable by incorporating dedicated fuzzy logic controllers (FLC) for DC-DC converters due to the variable distributed sources. Meanwhile, the bidirectional converter also called as Interlinking Converter (IC) located between ac bus and dc bus controlled by proposed SPW-ILC converts the DC voltage into AC voltage and meets AC loads. In AC system of autonomous mode, the inverters are controlled by proposed controller to meet the ac demands. The grid connected mode of Aichi microgrid system is performed by properly controlling the IC to meet ac and dc loads. The proposed SPW-ILC reduces the voltage deviation and maintains the power balance under variable source and load conditions. The results have been compared with the conventional proportional integral (PI) controller and FLC to validate the performance of the controller. The results show that the proposed SPW-ILC has efficiently control the voltage and maintain the power balance.

Synchronisation of chaotic systems using neural generalised predictive control

In this paper, a successful implementation of a neural generalised predictive control (NGPC) method for synchronisation of uncertain chaotic and hyperchaotic systems is presented. For this purpose, multi-layer feedforward neural network and particle swarm optimisation method (PSO) are used as system's model and optimisation algorithm, respectively. The synchronisation of two 3D Lorenz systems and 4D Lu hyperchaotic systems is investigated using the proposed method in different situations: complete synchronisation, hybrid synchronisation, and synchronisation based on one control input. Simulation results show satisfying performance of the proposed implementation in terms of the quality of the control input and the ability to solve many problems with only slight adaptations.

Synchronisation of chaotic systems using neural generalised predictive control

In this paper, a successful implementation of a neural generalised predictive control (NGPC) method for synchronisation of uncertain chaotic and hyperchaotic systems is presented. For this purpose, multi-layer feedforward neural network and particle swarm optimisation method (PSO) are used as system's model and optimisation algorithm, respectively. The synchronisation of two 3D Lorenz systems and 4D Lü hyperchaotic systems is investigated using the proposed method in different situations: complete synchronisation, hybrid synchronisation, and synchronisation based on one control input. Simulation results show satisfying performance of the proposed implementation in terms of the quality of the control input and the ability to solve many problems with only slight adaptations.