共查询到20条相似文献,搜索用时 28 毫秒
1.
In this paper, we investigate complete synchronization of double-delayed RSssler systems with uncertain parameters as the master system is in chaotic synchronization. The uncertain parameters can be nonlinearly expressed in the system. The analysis and proof are given by means of the Lyapunov stability theorem. Based on theoretical analysis, some sufficient conditions of complete synchronization are proved. In order to validate the proposed scheme, numerical simulations are performed and the numerical results show that our scheme is very effective. 相似文献
2.
A Novel Adaptive Observer-Based Control Scheme for Synchronization and Suppression of a Class of Uncertain Chaotic Systems 下载免费PDF全文
A novel adaptive observer-based control scheme is presented for synchronization and suppression of a class of uncertain chaotic system. First, an adaptive observer based on an orthogonal neural network is designed. Subsequently, the sliding mode controllers via the proposed adaptive observer are proposed for synchronization and suppression of the uncertain chaotic systems. Theoretical analysis and numerical simulation show the effectiveness of the proposed scheme. 相似文献
3.
A unified approach to fuzzy modelling and robust synchronization of different hyperchaotic systems 总被引:2,自引:0,他引:2 下载免费PDF全文
In this paper, a Takagi Sugeno (T-S) fuzzy model-based method is proposed to deal with the problem of synchronization of two identical or different hyperchaotic systems. The T S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. The benefit of employing the T-S fuzzy models lies in mathematical simplicity of analysis. Based on the T-S fuzzy hyperchaotic models, two fuzzy controllers arc designed via parallel distributed compensation (PDC) and exact linearization (EL) techniques to synchronize two identical hyperchaotic systems with uncertain parameters and two different hyperchaotic systems, respectively. The sufficient conditions for the robust synchronization of two identical hyperchaotic systems with uncertain parameters and the asymptotic synchronization of two different hyperchaotic systems are derived by applying the Lyapunov stability theory. This method is a universal one of synchronizing two identical or different hyperchaotic systems. Numerical examples are given to demonstrate the validity of the proposed fuzzy model and hyperchaotic synchronization scheme. 相似文献
4.
Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically 下载免费PDF全文
We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system's external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method. 相似文献
5.
Chaos Control and Synchronization of Cellular Neural Network with Delays Based on OPNCL Control 下载免费PDF全文
The problem of chaos control and complete synchronization of cellular neural network with delays is studied. Based on the open plus nonlinear closed loop (OPNCL) method, the control scheme and synchronization scheme are designed. Both the schemes can achieve the chaos control and complete synchronization of chaotic neural network respectively, and their validity is further verified by numerical simulation experiments. 相似文献
6.
Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback 下载免费PDF全文
In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment. 相似文献
7.
Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain
parameters 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper is investigated the generalized projective
synchronization of a class of chaotic (or hyperchaotic) systems, in
which certain parameters can be separated from uncertain parameters.
Based on the adaptive technique, the globally generalized projective
synchronization of two identical chaotic (hyperchaotic) systems is
achieved by designing a novel nonlinear controller. Furthermore, the
parameter identification is realized simultaneously. A sufficient
condition for the globally projective synchronization is obtained.
Finally, by taking the hyperchaotic Lü system as example, some
numerical simulations are provided to demonstrate the effectiveness
and feasibility of the proposed technique. 相似文献
8.
The synchronization of hyperchaotic Chen systems is
considered. An adaptive synchronization approach and a cascade
adaptive synchronization approach are presented to synchronize a
drive system and a response system. By utilizing an adaptive
controller based on the dynamic compensation mechanism, exact
knowledge of the systems is not necessarily required, and the
synchronous speed is controllable by tuning the controller
parameters. Sufficient conditions for the asymptotic stability of
the two synchronization schemes are derived. Numerical simulation
results demonstrate that the adaptive synchronization scheme with
four control inputs and the cascade adaptive synchronization scheme
with only one control signal are effective and feasible in chaos
synchronization of hyperchaotic systems. 相似文献
9.
The partial and complete periodic synchronization in coupled discontinuous map lattices consisting of both discontinuous and non-invertible maps are discussed. We classify three typical types of periodic synchronization states, which give rise to different spatiotemporal patterns including static partial periodic synchronization, dynamically periodic synchronization, and complete periodic synchronization patterns. A special prelude dynamics of partial and complete periodic synchronization motion, which is shown by five separated concave curves in the time series plots of the order parameters,is observed. The detailed analysis shows that the special prelude dynamics is induced by the competition between two synchronized clusters, and the analytical expression for the corresponding order parameter is obtained. 相似文献
10.
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
11.
Synchronization of the fractional-order generalized augmented L u¨system and its circuit implementation 下载免费PDF全文
In this paper, the synchronization of the fractional-order generalized augmented Lu¨ system is investigated. Based on the predictor–corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincare′maps of the fractional-order system and find that a four-wing chaotic attractor exists in the system when the system parameters change within certain ranges. Further, by varying the system parameters, rich dynamical behaviors occur in the2.7-order system. According to the stability theory of a fractional-order linear system, and adopting the linearization by feedback method, we have designed a nonlinear feedback controller in our theoretical analysis to implement the synchronization of the drive system with the response system. In addition, the synchronization is also shown by an electronic circuit implementation for the 2.7-order system. The obtained experiment results accord with the theoretical analyses,which further demonstrate the feasibility and effectiveness of the proposed synchronization scheme. 相似文献
12.
Stability analysis and control synthesis of uncertain Roesser-type discrete-time two-dimensional systems 下载免费PDF全文
We study the stability analysis and control synthesis of uncertain discrete-time two-dimensional(2D) systems.The mathematical model of the discrete-time 2D system is established upon the well-known Roesser model,and the uncertainty phenomenon,which appears typically in practical environments,is modeled by a convex bounded(polytope type) uncertain domain.The stability analysis and control synthesis of uncertain discrete-time 2D systems are then developed by applying the Lyapunov stability theory.In the processes of stability analysis and control synthesis,the obtained stability/stabilzaition conditions become less conservative by applying some novel relaxed techniques.Moreover,the obtained results are formulated in the form of linear matrix inequalities,which can be easily solved via standard numerical software.Finally,numerical examples are given to demonstrate the effectiveness of the obtained results. 相似文献
13.
In this paper,a novel hyperchaotic system with one nonlinear term and its fractional order system are proposed.Furthermore,synchronization between two fractional-order systems with different fractional-order values is achieved.The proposed synchronization scheme is simple and theoretically rigorous.Numerical simulations are in agreement with the theoretical analysis. 相似文献
14.
CHEN Yong LI Xin 《理论物理通讯》2009,51(3):470-474
The function projective synchronization of discrete-time chaotic systems is presented. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate function projective synchronization (FPS) of discrete-time chaotic systems with uncertain parameters. With the aid of symbolic-numeric computation, we use the proposed scheme to illustrate FPS between two identical 3D Henon-like maps with uncertain parameters. Numeric simulations are used to verify the effectiveness of our scheme. 相似文献
15.
This paper presents a synchronization method, motivated from the constructive
controllability analysis, for two identical chaotic systems. This technique is
applied to achieve perfect synchronization for Lorenz systems and coupled dynamo
systems. It turns out that states of the drive system and the response system are
synchronized within finite time, and the reaching time is independent of initial
conditions, which can be specified in advance. In addition to the simultaneous
synchronization, the response system is synchronized un-simultaneously to the drive
system with different reaching time for each state. The performance of the resulting
system is analytically quantified in the face of initial condition error, and with
numerical experiments the proposed method is demonstrated to perform well. 相似文献
16.
Synchronization of the fractional-order generalized augmented Lii system and its circuit implementation 下载免费PDF全文
In this paper, the synchronization of the fractional-order generalized augmented Lti system is investigated. Based on the predictor--corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincar6 maps of the fractional-order system and find that a four-wing chaotic attractor exists in the system when the system pa- rameters change within certain ranges. Further, by varying the system parameters, rich dynamical behaviors occur in the 2.7-order system. According to the stability theory of a fractional-order linear system, and adopting the linearization by feedback method, we have designed a nonlinear feedback controller in our theoretical analysis to implement the synchro- nization of the drive system with the response system. In addition, the synchronization is also shown by an electronic circuit implementation for the 2.7-order system. The obtained experiment results accord with the theoretical analyses, which further demonstrate the feasibility and effectiveness of the proposed synchronization scheme. 相似文献
17.
Reliability of linear coupling synchronization of hyperchaotic systems with unknown parameters 下载免费PDF全文
Complete synchronization could be reached between some chaotic and/or hyperchaotic systems under linear coupling. More generally, the conditional Lyapunov exponents are often calculated to confirm the stability of synchronization and reliability of linear controllers. In this paper, detailed proof and measurement of the reliability of linear controllers are given by constructing a Lyapunov function in the exponential form. It is confirmed that two hyperchaotic systems can reach complete synchronization when two linear controllers are imposed on the driven system unidirectionally and the unknown parameters in the driving systems are estimated completely. Finally, it gives the general guidance to reach complete synchronization under linear coupling for other chaotic and hyperchaotic systems with unknown parameters. 相似文献
18.
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
19.
An easy-to-implement scheme called Enhanced High Gain Harmonic Generation is expected to be able to significantly enhance the performance of HG-FEL. In this paper we investigate the effects of the system parameters in the new scheme, including the electron energy detuning, initial electron-beam energy spread, seeding laser power, dispersive field strength and amount of the phase shift, etc. The numerical results from GENESIS (3D-code) are presented and show that the new scheme has acceptable parameters tolerance requirements and is no more or even less sensitive to the system parameters than that of the existing scheme; With the electron energy above the resonance, the efficiency is enhanced for both the new scheme and the existing scheme compared with the resonant energy case. 相似文献
20.
A sliding mode control approach is proposed to implement the synchronization of the chain tree network. The doublescroll circuit chaos systems are treated as nodes and the network is constructed with the state variable coupling. By selecting a switching sliding surface, the chaos synchronization of the network is achieved with one control input only. The stability analysis and the numerical simulations demonstrate that the complete synchronization in a chain network can be realized for all nodes. 相似文献