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Global adaptive synchronization of chaotic systems with uncertain parameters 总被引:3,自引:0,他引:3
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We propose a novel adaptive synchronization method for a class of nonlinear chaotic systems with uncertain parameters.Using the chaos control method,we derive a synchronizer,which can make the states of the driven system globally track the states of the drive system asymptotically.The advantage of our method is that our problem sctting is more general than those that already exist,and the synchronizer is simply constructed by an analytic formula,without knowledge in advance of the unknown bounds of the uncertain parameters.A computer simulation example is given to validate the proposed approach. 相似文献
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The Letter develops an adaptive impulsive scheme that includes a sole restriction criterion to achieve synchronization of chaotic nonlinear systems with unknown parameters. The system is assumed to satisfy the local Lipschitz condition while a Lipschitz constant and the uncertain system parameters are estimated by augmented adaptation equations. Adaptation of all parameters is proven to converge exponentially. The significance of the related control parameters and their margins in the criterion is also discussed in detail. The Lorenz system has been simulated to illustrate the theoretical analysis. 相似文献
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针对不同结构混沌系统的同步与反同步问题进行了研究.在系统参数已知时,采用主动控制法实现混沌系统的同步与反同步,并将主动控制器的设计方法进行了推广.在参数未知时,基于Lyapunov稳定性理论和自适应控制方法,给出了自适应控制器和参数自适应律,实现了参数均未知且结构不同的驱动系统和响应系统的同步与反同步.在控制器的设计过程中,将驱动系统和响应系统进行互换,讨论了互换前后的控制器和自适应律之间的关系.数值仿真结果说明了所提出设计方法的有效性.
关键词:
混沌同步
反同步
主动控制法
自适应控制法 相似文献
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A novel adaptive synchronization method is proposed for two identical Rossler and Chen systems with uncertain parameters. Based on Lyapunov stability theory, we derive an adaptive controller without the knowledge of the system parameters, which can make the states of two identical Rossler and Chen systems globally asymptotically synchronized. Especially, when some unknown uncertain parameters are positive, we can make the controller more simple and, besides, the controller is independent of those positive uncertain parameters. All results are proved using a well-known Lyapunov stability theorem. Numerical simulations are given to validate the proposed synchronization approach. 相似文献
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This paper investigates robust unified (lag, anticipated, and complete)
synchronization of two coupled chaotic systems. By introducing the concepts
of positive definite symmetrical matrix and Riccati inequality and the
theory of robust stability, several criteria on robust synchronization are
established. Extensive numerical simulations are also used to confirm the
results. 相似文献
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Multi switching compound synchronization (MSCOS) between four non identical chaotic systems is investigated. Chen system is considered as scaling drive system. Lorenz and Lü systems are taken as base drive systems. The compound of the multi drive system is then synchronized with Rössler response system using multi switching synchronization scheme. In MSCOS, the state variables of three drive systems synchronize with different state variables of response system, simultaneously. For suitable choice of scaling factors, switched modified function projective synchronization is obtained as a special case of MSCOS among chaotic systems. To achieve the desired synchronization among four non identical chaotic systems, sufficient condition is obtained using a nonlinear controller and Lyapunov stability theory, and corresponding theoretical proofs are given. The effectiveness of the proposed controllers is verified by numerical simulations using MATLAB. 相似文献
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Adaptive generalized functional synchronization of chaotic systems with unknown parameters
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A universal adaptive generalized functional synchronization approach to any two different or identical chaotic systems with unknown parameters is proposed, based on a unified mathematical expression of a large class of chaotic system. Self-adaptive parameter law and control law are given in the form of a theorem. The synchronization between the three-dimensional R6ssler chaotic system and the four-dimensional Chen's hyper-chaotic system is studied as an example for illustration. The computer simulation results demonstrate the feasibility of the method proposed. 相似文献
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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
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Robust pre-specified time synchronization of chaotic systems by employing time-varying switching surfaces in the sliding mode control scheme
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In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a sliding mode controller with time-varying switching surfaces is proposed to achieve chaos synchronization at a pre-specified time for the first time. The proposed controller is able to synchronize chaotic systems precisely at any time when we want. Moreover, by choosing the time-varying switching surfaces in a way that the reaching phase is eliminated, the synchronization becomes robust to uncertainties and exogenous disturbances. Simulation results are presented to show the effectiveness of the proposed method of stabilizing and synchronizing chaotic systems with complete robustness to uncertainty and disturbances exactly at a pre-specified time. 相似文献
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This paper addresses the adaptive synchronization for uncertain Liu system via a nonlinear input. By using a single nonlinear controller, the approach is utilized to implement the synchronization of Liu system with total parameters unknown. This method is simple and can be easily designed. What is more, it improves the existing conclusions in Ref [12]. Simulation results prove that the controller is effective and feasible in the end. 相似文献
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Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control
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In this paper, based on the invaxiance principle of differential equations, we propose a simple adaptive control method to synchronize the network with coupling of the general form. Comparing with other control approaches, this scheme only depends on each node's state output. So we need not to know the concrete network structure and the solutions of the isolate nodes of the network in advance. In order to demonstrate the effectiveness of the method, a special example is provided and numerical simulations are performed. The numerical results show that our control scheme is very effective and robust against the weak noise. 相似文献
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Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control
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In this paper, based on the invariance principle of differential
equations, we propose a simple adaptive control method to
synchronize the network with coupling of the general form. Comparing
with other control approaches, this scheme only depends on each
node's state output. So we need not to know the concrete network
structure and the solutions of the isolate nodes of the network in
advance. In order to demonstrate the effectiveness of the method, a
special example is provided and numerical simulations are performed.
The numerical results show that our control scheme is very effective
and robust against the weak noise. 相似文献
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以单向驱动耦合Lorenz振子一维链为研究对象,研究振子间的混沌同步行为. 数值计算结果表明,对于变量y驱动x的耦合方式,在合适的耦合强度下,会出现第一个振子和第二个振子不同步,而与次近邻非直接连接的振子(如第三个振子)近似同步. 进一步研究表明,出现这一现象的原因是在大耦合强度下,对于这种驱动方式,第一个振子和第二个振子间出现驱动单变量近似同步;虽然它们之间未出现所有变量的完全同步,但是驱动信号事实上已经传递下去了.
关键词:
Lorenz振子
混沌同步
近似同步 相似文献
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《中国物理 B》2021,30(10):100503-100503
We investigate the synchronization problem between identical chaotic systems only when necessary measurement(output) and actuation(input) are needed to be implemented by the adaptive controllers. A sufficient condition is derived based on the Lyapunov stability theory and Schur complementary lemma. Moreover, the theoretic result is applied to the Rikitake system and the hyperchaotic Liu system to show its effectiveness and correctness. Numerical simulations are presented to verify the results. 相似文献