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1.
Aiming at enhancing the quality as well as the reliability of synchronization,this paper is concerned with the fault detection issue within the synchronization process for a class of nonlinear systems in the existence of external disturbances.To handle such problems,the concept of robust fault-sensitive (RFS) synchronization is proposed,and a method of determining such a kind of synchronization is developed.Under the framework of RFS synchronization,the master and the slave systems are robustly synchronized,and at the same time,sensitive to possible faults based on a mixed H /H ∞ performance.The design of desired output feedback controller is realized by solving a linear matrix inequality,and the fault sensitivity H index can be optimized via a convex optimization algorithm.A master-slave configuration composed of identical Chua’s circuits is adopted as a numerical example to demonstrate the effectiveness and applicability of the analytical results. 相似文献
2.
We consider an H ∞ synchronization problem in nonlinear Bloch systems.Based on Lyapunov stability theory and linear matrix inequality formulation,a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization.Moreover,this controller reduces the effect of an external disturbance to the H ∞ norm constraint.A numerical example is given to validate the proposed synchronization scheme. 相似文献
3.
Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control 下载免费PDF全文
Based on the three-dimensional Liu chaotic system, this paper
appends a feedback variable to construct a novel hyperchaotic Liu
system. Then, a control signal is further added to construct a novel
nonautonomous hyperchaotic Liu system. Through adjusting the
frequency of the control signal, the chaotic property of the system
can be controlled to show some different dynamic behaviors such as
periodic, quasi-periodic, chaotic and hyperchaotic dynamic
behaviours. By numerical simulations, the Lyapunov exponent
spectrums, bifurcation diagrams and phase diagrams of the two new
systems are studied, respectively. Furthermore, the synchronizing
circuits of the nonautonomous hyperchaotic Liu system are designed
via the synchronization control method of single variable coupling
feedback. Finally, the hardware circuits are implemented, and the
corresponding waves of chaos are observed by an oscillograph. 相似文献
4.
Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller 下载免费PDF全文
<正>In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integerorder chaotic system,in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method.Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus.Moreover,three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results.Finally,results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems. 相似文献
5.
Exponential networked synchronization of master-slave chaotic systems with time-varying communication topologies 下载免费PDF全文
The networked synchronization problem of a class of master-slave chaotic systems with time-varying communication topologies is investigated in this paper. Based on algebraic graph theory and matrix theory, a simple linear state feedback controller is designed to synchronize the master chaotic system and the slave chaotic systems with a time- varying communication topology connection. The exponential stability of the closed-loop networked synchronization error system is guaranteed by applying Lyapunov stability theory. The derived novel criteria are in the form of linear matrix inequalities (LMIs), which are easy to examine and tremendously reduce the computation burden from the feedback matrices. This paper provides an alternative networked secure communication scheme which can be extended conveniently. An illustrative example is given to demonstrate the effectiveness of the proposed networked synchronization method. 相似文献
6.
Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay 下载免费PDF全文
This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system,which are regarded as the drive system and the response system respectively.Some effective observers are produced to identify the unknown parameters of the Lü system.Based on the Lyapunov stability theory and linear matrix inequality technique,some sufficient conditions of global exponential synchronization of the two chaotic systems are derived.Simulation results show the effectiveness and feasibility of the proposed controller. 相似文献
7.
Outer synchronization between two different fractional-order general complex dynamical networks 下载免费PDF全文
Outer synchronization between two different fractional-order general complex dynamical networks is investigated in this paper.Based on the stability theory of the fractional-order system,the sufficient criteria for outer synchronization are derived analytically by applying the nonlinear control and the bidirectional coupling methods.The proposed synchronization method is applicable to almost all kinds of coupled fractional-order general complex dynamical networks.Neither a symmetric nor irreducible coupling configuration matrix is required.In addition,no constraint is imposed on the inner-coupling matrix.Numerical examples are also provided to demonstrate the validity of the presented synchronization scheme.Numeric evidence shows that both the feedback strength k and the fractional order α can be chosen appropriately to adjust the synchronization effect effectively. 相似文献
8.
In this paper, the synchronization and the parameter identification
of the chaotic Pikovsky--Rabinovich (PR) circuits are investigated.
The linear error of the second corresponding variables is used to
change the driven chaotic PR circuit, and the complete
synchronization of the two identical chaotic PR circuits is realized
with feedback intensity k increasing to a certain threshold. The
Lyapunov exponents of the chaotic PR circuits are calculated by
using different feedback intensities and our results are confirmed.
The case where the two chaotic PR circuits are not identical is also
investigated. A general positive Lyapunov function V, which
consists of all the errors of the corresponding variables and
parameters and changeable gain coefficient, is constructed by using
the Lyapunov stability theory to study the parameter identification
and complete synchronization of two non-identical chaotic circuits.
The controllers and the parameter observers could be obtained
analytically only by simplifying the criterion dV/dt<0
(differential coefficient of Lyapunov function V with respect to
time is negative). It is confirmed that the two non-identical
chaotic PR circuits could still reach complete synchronization and
all the unknown parameters in the drive system are estimated exactly
within a short transient period. 相似文献
9.
Fault tolerant synchronization of chaotic systems based on T-S fuzzy model with fuzzy sampled-data controller 下载免费PDF全文
In this paper the fault tolerant synchronization of two
chaotic systems based on fuzzy model and sample data is investigated.
The problem of fault tolerant synchronization is formulated to study
the global asymptotical stability of the error system with the fuzzy
sampled-data controller which contains a state feedback controller
and a fault compensator. The synchronization can be achieved no
matter whether the fault occurs or not. To investigate the stability
of the error system and facilitate the design of the fuzzy
sampled-data controller, a Takagi--Sugeno (T--S) fuzzy model is
employed to represent the chaotic system dynamics. To acquire the
good performance and produce less conservative analysis result, a
new parameter-dependent Lyapunov--Krasovksii functional and a relaxed
stabilization technique are considered. The stability conditions
based on linear matrix inequality are obtained to achieve the fault
tolerant synchronization of the chaotic systems. Finally, a
numerical simulation is shown to verify the results. 相似文献
10.
This paper investigates the adaptive synchronization of hyperchaotic Lii systems based on the method of extended passive control. By combining the feedback control, the extended passive control method with two output variables is developed, which can synchronize hyperchaotic Lu systems asymptotically and globally more easily without knowing the bound of state of the hyperchaotic system. Adaptive laws are introduced to estimate the unknown parameters as well. Simulation results show the effectiveness and flexibility of the proposed control scheme. 相似文献
11.
Robust H_∞ observer-based control for synchronization of a class of complex dynamical networks 下载免费PDF全文
This paper is concerned with the robust H∞ synchronization problem for a class of complex dynamical networks by applying the observer-based control. The proposed feedback control scheme is developed to ensure the asymptotic stability of the augmented system, to reconstruct the non-measurable state variables of each node and to improve the H∞ performance related to the synchronization error and observation error despite the external disturbance. Based on the Lyapunov stability theory, a synchronization criterion is obtained under which the controlled network can be robustly stabilized onto a desired state with a guaranteed H∞ performance. The controller and the observer gains can be given by the feasible solutions of a set of linear matrix inequalities (LMIs). The effectiveness of the proposed control scheme is demonstrated by a numerical example through simulation. 相似文献
12.
The problem of reliable impulsive synchronization for a
class of nonlinear chaotic systems has been investigated in this
paper. Firstly a reliable impulsive controller is designed by using
the impulsive control theory. Then by the uniform asymptotic
stability criteria of systems with impulsive effects, some
sufficient conditions for reliable impulsive synchronization between
the drive system and the response system are obtained. Numerical
simulations are given to show the effectiveness of the proposed
method. 相似文献
13.
A new three-dimensional chaotic system and its modified generalized projective synchronization 下载免费PDF全文
Based on the Chen chaotic system,this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore,based on Lyapunov stability theory,it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
14.
In this paper, a new method for controlling projective synchronization in coupled
chaotic systems is presented. The control method is based on a partially linear
decomposition and negative feedback of state errors. Firstly, the synchronizability
of the proposed projective synchronization control method is proved mathematically.
Then, three different representative examples are discussed to verify the
correctness and effectiveness of the proposed control method. 相似文献
15.
This paper investigates the adaptive synchronization of
hyperchaotic Lü systems based on the method of extended passive
control. By combining the feedback control, the extended passive
control method with two output variables is developed, which can
synchronize hyperchaotic Lü systems asymptotically and globally
more easily without knowing the bound of state of the hyperchaotic
system. Adaptive laws are introduced to estimate the unknown
parameters as well. Simulation results show the effectiveness and
flexibility of the proposed control scheme. 相似文献
16.
We mainly investigate the robust networked H∞synchronization problem of nonidentical chaotic Lur’e systems. In the design of the synchronization scheme, some network characteristics, such as nonuniform sampling, transmissioninduced delays, and data packet dropouts, are considered. The parameters of master–slave chaotic Lur’e systems often allow differences. The sufficient condition in terms of linear matrix inequality(LMI) is obtained to guarantee the dissipative synchronization of nonidentical chaotic Lur’e systems in network environments. A numerical example is given to illustrate the validity of the proposed method. 相似文献
17.
The PC synchronization of a class of chaotic systems is investigated in this paper. The drive system is assumed to have only one state variable available. By constructing proper observers, some novel criteria for PC synchronization are proposed via event-triggered control scheme. The Lu¨ system and Chen system are taken as examples to demonstrate the efficiency of the proposed approach. 相似文献
18.
A new kind of nonlinear phenomenon in coupled fractional-order chaotic systems: coexistence of anti-phase and complete synchronization 下载免费PDF全文
In this paper,we have found a kind of interesting nonlinear phenomenon-hybrid synchronization in linearly coupled fractional-order chaotic systems.This new synchronization mechanism,i.e.,part of state variables are anti-phase synchronized and part completely synchronized,can be achieved using a single linear controller with only one drive variable.Based on the stability theory of the fractional-order system,we investigated the possible existence of this new synchronization mechanism.Moreover,a helpful theorem,serving as a determinant for the gain of the controller,is also presented.Solutions of coupled systems are obtained numerically by an improved Adams-Bashforth-Moulton algorithm.To support our theoretical analysis,simulation results are given. 相似文献
19.
A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal 下载免费PDF全文
This paper proposes a new, simple and yet applicable output feedback
synchronization theorem for a large class of chaotic systems. We take a
linear combination of drive system state variables as a scale-driving
signal. It is proved that synchronization between the drive and the response
systems can be obtained via a simple linear output error feedback control.
The linear feedback gain is a function of a free parameter. The approach is
illustrated using the R\"{o}ssler hyperchaotic systems and Chua's chaotic
oscillators. 相似文献
20.
Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller 下载免费PDF全文
In this paper, we apply a simple adaptive feedback control scheme to
synchronize two bi-directionally coupled chaotic systems. Based on
the invariance principle of differential equations, sufficient
conditions for the global asymptotic synchronization between two
bi-directionally coupled chaotic systems via an adaptive feedback
controller are given. Unlike other control schemes for
bi-directionally coupled systems, this scheme is very simple to
implement in practice and need not consider coupling terms. As
examples, the autonomous hyperchaotic Chen systems and the new
non-autonomous 4D systems are illustrated. Numerical simulations show
that the proposed method is effective and robust against the effect
of weak noise. 相似文献