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首页> 外文期刊>Journal of Uncertainty Analysis and Applications >Controller Parameter Optimization for the Robust Synchronization of Chaotic Systems with Known and Unknown Parameters
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Controller Parameter Optimization for the Robust Synchronization of Chaotic Systems with Known and Unknown Parameters

机译：具有已知和未知参数的混沌系统鲁棒同步的控制器参数优化

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In this paper, a synchronization problem of a three-dimensional (3-D) Coullete chaotic system using the active- and adaptive-based synchronization control techniques is addressed. Based on the Routh-Hurwitz criterion and using the active control algorithm, a single control function is considered and a computational study is performed to identify the correct balance between the converging rates of the synchronization error signals to the origin and magnitude of the linear controlling parameters (LCPs) for the globally exponential synchronization (GES) between two identical 3-D Coullete chaotic systems. In order to achieve the complete synchronization (CS) objective with unknown model uncertainties, external disturbances, and unknown time-varying parameters, a novel nonlinear adaptive synchronous controller is proposed and suitable adaptive laws of time-varying parameters are designed that accomplish the asymptotic synchronization between two identical uncertain 3-D Coullete chaotic systems. The two synchronizing controlling approaches are applied to investigate the CS phenomenon, and the results are compared. Open research problems are also discussed. All simulations results are carried out to validate the effectiveness of the proposed synchronization control approaches by using Mathematica 10.0.
机译：在本文中，解决了使用基于主动和自适应的同步控制技术的三维（3-D）Coullete混沌系统的同步问题。基于Routh-Hurwitz准则并使用主动控制算法，考虑了单个控制功能，并进行了计算研究，以确定同步误差信号到原点的收敛速度与线性控制参数的大小之间的正确平衡。 （LCP）用于两个相同的3-D Coullete混沌系统之间的全局指数同步（GES）。为了实现具有未知模型不确定性，外部干扰和未知时变参数的完全同步（CS）目标，提出了一种新型的非线性自适应同步控制器，并设计了合适的时变参数自适应律来实现渐近同步。在两个相同的不确定3-D Coullete混沌系统之间。应用两种同步控制方法研究了CS现象，并对结果进行了比较。还讨论了开放研究问题。通过使用Mathematica 10.0进行了所有仿真结果，以验证所提出的同步控制方法的有效性。

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