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1.
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
2.
Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method
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The aim of this paper is to study the control of hyperchaotic complex nonlinear systems with unknown parameters using passive control theory.An approach is stated to design the passive controller and estimate the unknown parameters based on the property of the passive system.The feasibility and effectiveness of the proposed approach is demonstrated through its application to the hyperchaotic complex Lü system,as an example.The estimated values of the unknown parameters are calculated.The analytical form of the complex controller is derived and used in the numerical simulation to control the hyperchaotic attractors of this example.Block diagrams of this example using Matlab/Simulink are constructed after and before the control to ensure the validity of the analytical results.Other examples of hyperchaotic complex nonlinear systems can be similarly treated. 相似文献
3.
Impulsive control for Takagi--Sugeno fuzzy model with time-delay and its application to chaotic system
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A control approach where the fuzzy logic methodology is combined
with impulsive control is developed for controlling some time-delay
chaotic systems in this paper. We first introduce impulses into each
subsystem with delay of the Takagi--Sugeno (TS) fuzzy IF--THEN rules and
then present a unified TS impulsive fuzzy model with delay for chaos
control. Based on the new model, a simple and unified set of
conditions for controlling chaotic systems is derived by the
Lyapunov--Razumikhin method, and a design procedure for estimating
bounds on control matrices is also given. Several numerical examples
are presented to illustrate the effectiveness of this method. 相似文献
4.
A unified approach to fuzzy modelling and robust synchronization of different hyperchaotic systems 总被引:2,自引:0,他引:2
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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
5.
Synchronization between two different noise-perturbed chaotic systems with unknown parameters
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In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed RSssler system, hyperchaotic Chen system and nolse-perturbed hyperchaotic RSssler system are taken for illustrative examples to demonstrate this technique.[第一段] 相似文献
6.
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
7.
Exponential stability of Takagi-Sugeno fuzzy systems with impulsive effects and small delays
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This paper deals with the exponential stability of impulsive Takagi-Sugeno fuzzy systems with delay. Impulsive control and delayed fuzzy control are applied to the system, and the criterion on exponential stability expressed in terms of linear matrix inequalities (LMIs) is presented. 相似文献
8.
Control of fractional chaotic and hyperchaotic systems based on a fractional order controller
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We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate.The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
9.
YU Yong-Bin ZHANG Hong-Bin ZHANG Feng-Li YU Jue-Bang LIAO Xiao-Feng 《理论物理通讯》2009,51(5):869-875
Lorenz systems family unifying Lorenz system, Chen system and Lü system is a typical chaotic family. In this paper, we consider impulsive control Lorenz chaotic systems family with time-varying impulse intervals. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control Lorenz systems family and obtain some new less conservative conditions. Based on the stability analysis, we design a novel impulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility and effectiveness of our method. The obtained results not only can be used to design impulsive control for Lorenz systems family, but also can be extended to other chaotic systems. 相似文献
10.
This paper presents a novel adaptive control scheme for
synchronization of the latest hyperchaotic Lü system. Based on
the Lyapunov stability theory, a feedback controller and a parameter
update law are designed for the synchronization of hyperchaotic
L\"{u} systems with uncertainty. Numerical simulations are given to
demonstrate the validity of the synchronization technique. 相似文献
11.
A scheme for the impulsive control of nonlinear systems with
time-varying delays is investigated in this paper. Based on the
Lyapunov-like stability theorem for impulsive functional
differential equations (FDEs), some sufficient conditions are
presented to guarantee the uniform asymptotic stability of
impulsively controlled nonlinear systems with time-varying delays.
These conditions are more effective and less conservative than those
obtained. Finally, two numerical examples are provided to
demonstrate the effectiveness of the proposed method. 相似文献
12.
Robust lag synchronization between two different chaotic systems via dual-stage impulsive control
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In this paper, an improved impulsive lag synchronization scheme for
different chaotic systems with parametric uncertainties is proposed.
Based on the new definition of synchronization with error bound and
a novel impulsive control scheme (the so-called dual-stage impulsive
control), some new and less conservative sufficient conditions are
established to guarantee that the error dynamics can converge to a
predetermined level, which is more reasonable and rigorous than the
existing results. In particular, some simpler and more convenient
conditions are derived by taking the same impulsive distances and
control gains. Finally, some numerical simulations for the Lorenz system
and the Chen system are given to demonstrate the effectiveness and
feasibility of the proposed method. 相似文献
13.
Bifurcation control and the existence of chaos in a class of
linear impulsive systems are discussed by means of both theoretical
and numerical ways. Chaotic behaviour in the sense of Marotto's
definition is rigorously proven. A linear impulsive controller,
which does not result in any change in one period-1 solution of the
original system, is proposed to control and anti-control chaos. The
numerical results for chaotic attractor, route leading to chaos,
chaos control, and chaos anti-control, which are illustrated with
two examples, are in good agreement with the theoretical analysis. 相似文献
14.
This paper studies the robust fuzzy control for nonlinear chaotic system in the
presence of parametric uncertainties. An uncertain Takagi--Sugeno (T--S) fuzzy model
is employed for fuzzy modelling of an unknown chaotic system. A sufficient condition
formulated in terms of linear matrix inequality (LMI) for the existence of fuzzy
controller is obtained. Then the output feedback fuzzy-model-based regulator derived
from the LMI solutions can guarantee the stability of the closed-loop overall fuzzy
system. The T--S fuzzy model ofthe chaotic Chen system is developed as an example
for illustration. The effectiveness of the proposed controller design methodology is
finally demonstrated through computer simulations on the uncertain Chen chaotic
system. 相似文献
15.
16.
In this paper, an approach to the control of continuous-time
chaotic systems is proposed using the Takagi--Sugeno (TS) fuzzy model and adaptive
adjustment. Sufficient conditions are derived to guarantee chaos
control from Lyapunov stability theory. The proposed approach
offers a systematic design procedure for stabilizing a large class
of chaotic systems in the literature about chaos research. The
simulation results on R\"{o}ssler's system verify the
effectiveness of the proposed methods. 相似文献
17.
Cooperative impulsive formation control for networked uncertain Euler–Lagrange systems with communication delays
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This paper investigates the cooperative formation problem via impulsive control for a class of networked Euler–Lagrange systems. To reduce the energy consumption and communication frequency, the impulsive control method and cooperative formation control approach are combined. With the consideration of system uncertainties and communication delays among agents, neural networks-based adaptive technique is used for the controller design. Firstly, under the constraint that each agent interacts with its neighbors only at some sampling moments, an adaptive neural-networks impulsive formation control algorithm is proposed for the networked uncertain Euler–Lagrange systems without communication delays. Using Lyapunov stability theory and Laplacian potential function in the graph theory, we conclude that the formation can be achieved by properly choosing the constant control gains. Further, when considering communication delays,a modified impulsive formation control algorithm is proposed, in which the extended Halanay differential inequality is used to analyze the stability of the impulsive delayed dynamical systems. Finally, numerical examples and performance comparisons with continuous algorithm are provided to illustrate the effectiveness of the proposed methods. 相似文献
18.
Generalized projective synchronization of a class of chaotic (hyperchaotic) systems with uncertain
parameters 总被引:1,自引:0,他引:1
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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
19.
This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results. 相似文献
20.
In this paper,some novel sufficient conditions for asymptotic stability of impulsive control systems are presented by comparison systems.The results are used to obtain the conditions under which the chaotic systems can be asymptotically controlled to the origin via impulsive control.Compared with some existing results,our results are more relaxed in the sense that the Lyapunov function is required to be nonincreasing only along a subsequence of switchings.Moreover,a larger upper bound of impulsive intervals for stabilization and synchronization is obtained. 相似文献