共查询到19条相似文献,搜索用时 93 毫秒
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针对一类含有不确定参数的时变时滞系统的同步控制问题,提出了一种滑模自适应鲁棒控制方法.基于Lyapunov稳定性理论和滑模自适应控制方法,设计出滑模自适应鲁棒控制器和参数自适应率.所设计的单一控制器适用于一类分数阶超混沌系统的同步性控制问题,它不仅具有较强的抗噪声能力而且对于时变时滞系统也具有良好的控制能力,因此该控制器具有较好的实用价值.此外,通过在系统的输入量中引入一个补偿量,用以消除系统中所存在的不确定性和外界扰动的影响,从而实现不确定性分数阶超混沌系统的同步,并且将系统的同步误差控制在任意小范围内.最后,对带有外界噪声扰动、系统参数不确定的时变时滞Chen分数阶超混沌系统进行了数值仿真,经过短暂的时间,响应系统与驱动系统同步,进而验证了所提出的控制方法的有效性. 相似文献
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研究分数阶时滞混沌系统同步问题,基于状态观测器方法和分数阶系统稳定性理论,设计分数阶时滞混沌系统同步控制器,使得分数阶时滞混沌系统达到同步,同时给出了数学证明过程.该同步控制器采用驱动系统和响应系统的输出变量进行设计,无需驱动系统和响应系统的状态变量,简化了控制器的设计,提高了控制器的实用性.利用Lyapunov稳定性理论和分数阶线性矩阵不等式,研究并给出了同步控制器参数的选择条件.以分数阶时滞Chen混沌系统为例,设计基于状态观测器的同步控制器,实现了分数阶时滞Chen混沌系统同步,并将其应用于保密通信系统中.仿真结果证明了该同步方法的有效性. 相似文献
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本文基于系统传递函数矩阵的严格正实性, 针对一类具有可变系数的混沌 (或超混沌) 系统的自同步与异结构同步问题提出了解决方法. 通过在响应系统中加入同步控制器, 并将待同步系统导出的误差系统中的非线性部分作为误差系统输入, 将误差状态变量作为误差系统输出, 使误差系统的传递函数矩阵成为严格正实的, 这样可使误差系统的原点是渐近稳定的, 即两系统达到稳定的混沌 (或超混沌) 同步. 所设计的同步控制器参数选取范围明确, 均为线性的, 且对于待同步系统的系数变化具有一定的鲁棒性. 文中给出了同步控制器的具体设计过程和同步结果, 并结合数值仿真验证了该方法的可行性与有效性.
关键词:
严格正实
可变系数
混沌同步 相似文献
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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 good performance and produce a 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
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This paper presents the synchronisation of chaotic systems using a sampled-data fuzzy controller and is meaningful for many physical real-life applications. Firstly, a Takagi--Sugeno (T--S) fuzzy model is employed to represent the chaotic systems that contain some nonlinear terms, then a type of fuzzy sampled-data controller is proposed and an error system formed by the response and drive chaotic system. Secondly, relaxed LMI-based synchronisation conditions are derived by using a new parameter-dependent Lyapunov--Krasovskii functional and relaxed stabilisation techniques for the underlying error system. The derived LMI-based conditions are used to aid the design of a sampled-data fuzzy controller to achieve the synchronisation of chaotic systems. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results. 相似文献
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Robust modified projective synchronization of fractional-order chaotic systems with parameters perturbation and external disturbance 下载免费PDF全文
Based on fractional-order Lyapunov stability theory, this paper provides a novel method to achieve robust modified projective synchronization of two uncertain fractional-order chaotic systems with external disturbance. Simulation of the fractional-order Lorenz chaotic system and fractional-order Chen's chaotic system with both parameters uncertainty and external disturbance show the applicability and the efficiency of the proposed scheme. 相似文献
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Choon Ki Ahn 《Pramana》2010,74(5):705-718
In this paper, we propose a new input-to-state stable (ISS) synchronization method for a general class of chaotic systems
with disturbances. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization
controller is presented not only to guarantee the asymptotic synchronization but also to achieve the bounded synchronization
error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented
by the LMI. Simulation studies are presented to demonstrate the effectiveness of the proposed ISS synchronization scheme. 相似文献
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Much progress has been made in the research of synchronization for chaotic real or complex nonlinear systems. In this paper we introduce a new type of synchronization which can be studied only for chaotic complex nonlinear systems. This type of synchronization may be called complex lag synchronization (CLS). A definition of CLS is introduced and investigated for two identical chaotic complex nonlinear systems. Based on Lyapunov function a scheme is designed to achieve CLS of chaotic attractors of these systems. The effectiveness of the obtained results is illustrated by a simulation example. Numerical results are plotted to show state variables, modulus errors and phase errors of these chaotic attractors after synchronization to prove that CLS is achieved. 相似文献