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Controlling chaotic Chua's circuit based on plecewise quadratic Lyapunov functions method

机译:基于plecewise二次Lyapunov函数法的混沌蔡氏电路控制。

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摘要

In this paper, we present a linear feedback controller design method for controlling chaotic Chua's circuit based on piecewise quadratic Lyapunov functions. Firstly, we get the piecewise linear differential inclusions (pwLDIs) model of tracking error dynamics, then we design a linear state feedback controller to stabilize it based on the piecewise quadratic Laypunov functions. Finally, we give some numerical simulations to demonstrate the effectiveness of our theoretical results. (C) 2004 Elsevier Ltd. All rights reserved.
机译:在本文中,我们提出了一种基于分段二次Lyapunov函数的线性反馈控制器设计方法,用于控制混沌蔡氏电路。首先,我们获得了跟踪误差动态的分段线性微分包含(pwLDIs)模型,然后我们基于分段二次Laypunov函数设计了一个线性状态反馈控制器,以使其稳定。最后,我们给出一些数值模拟来证明我们理论结果的有效性。 (C)2004 Elsevier Ltd.保留所有权利。

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