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中文摘要：
针对一类含有模型不确定和外界扰动的混沌系统,通过构造合适的响应系统,提出了一种修正函数投影同步方法.基于李亚普诺夫稳定性定理和单向耦合同步原理,给出了2种混沌驱动的响应系统的设计方案,通过设计合适的控制器和自适应律,使得驱动—响应系统按照期望的函数尺度因子矩阵实现同步.所设计的控制策略对模型不确定和外界干扰有较强的鲁棒性,且不需要预先已知不确定项的界值.此外,在耦合反馈系数中引入自适应律,使得耦合反馈系数可随自适应律自由调整到最佳值.理论分析及仿真结果表明了该方案的有效性.
英文摘要：
According to a class of chaotic systems with model uncertainties and external perturbation, a general method of modified function projective synchronization is proposed by designing a suitable response system. Based on Lyapunov stability theorem and unidirectionally coupled synchronization principle, the two schemes of obtaining the response system from chaotic drive system are established. By designing suitable controller and adaptive law, the drive and response systems can synchronize to a desired scaling function matrix. The proposed scheme has strong robustness to model uncertainty and external perturbation without need of the knowledge of the boundary values of uncertainties. The adaptive law is introduced into coupled feedback coefficient, so the coefficient can be adjusted to the best value with the adaptive law. Theoretical analysis and simulation results verify the effectiveness of the proposed scheme.
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