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Synchronisation control of two identical chaotic Liu systems with known and unknown parameters

机译:参数相同和未知的两个相同混沌Liu系统的同步控制

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摘要

Chaos synchronisation of two identical chaotic Liu systems with known and unknown parameters is studied. By designing non-linear controller and choosing appropriate design parameter, two identical Liu systems with known parameters realise exponential synchronisation. Single control signal is employed and no adaptive subsystems are involved. Based on the Lyapunov approach and Barbalat's lemma, the asymptotic synchronisation of two identical Liu systems with unknown parameters is achieved via an adaptive synchronisation scheme. Only one system parameter is estimated and an adaptive parameter is introduced. Finally, numerical simulations validate the effectiveness of the proposed control scheme.
机译:研究了参数相同,未知的两个相同混沌Liu系统的混沌同步。通过设计非线性控制器并选择适当的设计参数,两个具有相同参数的相同Liu系统实现了指数同步。采用单个控制信号,不涉及自适应子系统。基于Lyapunov方法和Barbalat引理,通过自适应同步方案实现了参数未知的两个相同Liu系统的渐近同步。仅估计一个系统参数,并引入自适应参数。最后,数值仿真验证了所提出的控制方案的有效性。

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