共查询到20条相似文献,搜索用时 31 毫秒
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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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In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time. 相似文献
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In this paper we study the problem of the four-dimensional hyperchaotic Rossler system tracking control. A controller based on the reference signal is designed. It is theoretically proved that the controller can make the error converge to zero exponentially. Numerical results have verified the validity of the controller. The Rossler system cannot only track any reference signal fast, but can synchronize with identical or different chaotic systems. 相似文献
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《Physics letters. A》2001,278(4):191-197
This Letter presents chaos synchronization of two identical Rossler and Chen systems by using active control. The proposed technique is applied to achieve chaos synchronization for the Rossler and Chen dynamical systems. We demonstrate that a coupled Rossler and Chen systems can be synchronized. Numerical simulations are used to show the effectiveness of the proposed control method. 相似文献
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Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system 下载免费PDF全文
Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further. 相似文献
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单模激光Lorenz系统反同步控制研究 总被引:1,自引:1,他引:0
提出了一种实现异结构混沌系统反同步控制的方法。根据Lyapunov 稳定性理论给出控制器的结构。以单模激光Lorenz系统和Rossler系统为例,验证了这种控制器的有效性。进一步研究了不确定混沌系统的反同步,并以不确定单模激光Lorenz系统和Rossler系统为例,实现了混沌反同步控制,同时系统中不确定参数得到识别。仿真模拟结果验证了这种方法的有效性。设计的反同步控制方法可用于任意混沌系统,具有一定的普适性。 相似文献
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设计了一种参数观测器,对不确定Rossler系统中的未知参数进行了识别,采用backstepping方法实现了异结构不确定Rossler系统和Coullet系统之间的混沌同步.根据稳定性原理,确定了同步控制器的结构和控制增益的取值范围.仿真模拟结果表明,在参数观测器和backstepping控制器的共同作用下, Coullet系统所有的状态变量严格地跟踪了不确定Rossler系统的混沌轨迹,从而证明了该观测器和控制器的有效性. 相似文献
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The paper is concerned with adaptive tracking problem for a class of
chaotic system with time-varying uncertainty, but bounded by norm
polynomial. Based on adaptive technique, it proposes a novel
controller to asymptotically track the arbitrary desired bounded
trajectory. Simulation on the Rossler chaotic system is performed
and the result verifies the effectiveness of the proposed method. 相似文献
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Yan Z 《Chaos (Woodbury, N.Y.)》2006,16(1):013119
First, a type of Q-S (complete or anticipated) synchronization is defined in discrete-time dynamical systems. Second, based on backstepping design with a scalar controller, a systematic, concrete and automatic scheme is presented to investigate Q-S (complete or anticipated) synchronization between the discrete-time drive system and response system with strict-feedback form. Finally, the proposed scheme is used to illustrate Q-S (complete or anticipated) synchronization between the two-dimensional discrete-time Lorenz system and Fold system, as well as the three-dimensional hyperchaotic discrete-time Rossler system and generalized discrete-time Rossler system. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme. Our scheme can be also extended to investigate Q-S (complete or anticipated) synchronization between other discrete-time dynamical systems with strict-feedback forms. With the aid of symbolic-numeric computation, the scheme can be performed to yield automatically the scalar controller and to verify its effectiveness in computer. 相似文献
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本文通过设计一个新型的含分数阶滑模面的滑模控制器,应用主动控制原理和滑模控制原理,实现了一个新分数阶超混沌系统和分数阶超混沌Chen系统的投影同步.应用Lyapunov理论,分数阶系统稳定理论和分数阶非线性系统性质定理对该控制器的存在性和稳定性分别进行了分析,并得到了异结构分数阶超混沌系统达到投影同步的稳定性判据.数值仿真采用分数阶超混沌Chen 系统和一个新分数阶超混沌系统的投影同步,仿真结果验证了方法的有效性.
关键词:
分数阶滑模面滑模控制器
稳定性分析
分数阶超混沌系统
投影同步 相似文献
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由于Chen系统的控制分析大都是基于同一时间尺度,而两时间尺度耦合问题的相关研究基本上局限于单维慢变量情形.本文探讨了基于慢时间尺度上的Duffing振子,即含有两维慢子系统控制下Chen系统的动力学演化过程.给出了诸如对称式fold/fold、对称式fold/Hopf、对称式homoclinic/homoclinic等不同形式的簇发振荡行为,并揭示了其相应的产生机制,指出慢子系统中两维慢变量的相互影响导致系统产生了类似于周期激励下的簇发行为. 相似文献
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基于Lyapunov稳定性理论, 结合反馈控制和自适应控制方法, 提出了一种异结构混沌系统同步的新方法. 该方法适用范围广, 不仅能为人们提供控制器的一般选取办法,而且对于具体的误差系统还可进一步简化控制器结构, 具有稳健、易于实现等优点. 通过对Lorenz系统与Liu系统、超混沌的R?ssler系统与广义Lorenz系统的同步数值仿真, 证实了该方法的有效性.
关键词:
混沌同步
Lorenz系统
R?ssler系统
Lyapunov函数 相似文献
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《Chinese Journal of Physics (Taipei)》2017,55(2):457-466
The article presents combined synchronization among time delayed chaotic systems in the presence of uncertain parameters using nonlinear control method. Control functions are designed to achieve combined synchronization using Lyapunov-Krasovskii function for stability analysis. The synchronization among three and four time delayed chaotic systems have been shown as examples of combined synchronization. Double delay Rossler system, the advanced Lorenz system, time delay Liu and Chen systems have been taken to show the combined synchronization. Numerical simulation and graphical results are carried out using Runge–Kutta method for delay-differential equations, which show that the designing of control functions are very effective and reliable and can be applied for combined synchronization among time-delayed chaotic systems. 相似文献
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Yan Z 《Chaos (Woodbury, N.Y.)》2005,15(2):23902
First, a Q-S (lag or anticipated) synchronization of continuous-time dynamical systems is defined. Second, based on a backstepping design with one controller, a systematic, concrete, and automatic scheme is developed to investigate the Q-S (lag or anticipated) synchronization between the drive system and response system with a strict-feedback form. Two identical hyperchaotic Tamasevicius-Namajunas-Cenys(TNC) systems as well as the hyperchaotic TNC system and hyperchaotic Rossler system are chosen to illustrate the proposed scheme. Numerical simulations are used to verify the effectiveness of the proposed scheme. The scheme can also be extended to study Q-S (lag or anticipated) synchronization between other dynamical systems with strict-feedback forms. With the aid of symbolic-numeric computation, the scheme can be performed to yield automatically the scalar controller in computer. 相似文献
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针对一类连续时间混沌系统,基于主动控制思想,提出了一种主动滑模控制策略,使得一类混沌系统可以达到异结构反同步,其中响应系统的线性部分和控制器参数决定闭环误差及反同步的趋近律. 基于Lyapunov稳定性理论分析了系统的稳定性. 以Lorenz系统、Chen系统和Lü系统为例进行仿真验证,该控制方法可以实现较快的混沌反同步,且反同步的鲁棒稳定性良好.
关键词:
混沌系统
反同步
滑模控制
主动控制 相似文献
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By introducing a control strength matrix, the active control theory in chaotic synchronization is developed. With this extended method, chaos complete synchronization can be achieved more easily, i.e., a much smaller control signal is enough to reach synchronization in most cases. Numerical simulations on Rossler, Liu's four-scroll, and Chen system confirmed this and show that the synchronization result depends on the control strength significantly. Especially, in the case of Liu and Chen systems, the response systems' largest Lyapunov exponents' variation with the control strength is not monotone and there exist minima. It is novel for Chen system that the synchronization speed with a special small strength is higher than that of the usual active control which, as a special case of the extended method, has a much larger control strength. All these results indicate that the control strength is an important factor in the actual synchronization. So, with this extended active control, one can make a better and more practical synchronization scheme by adjusting the control strength matrix. 相似文献