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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Robust control for a class of chaotic and hyperchaotic systems via linear state feedback
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Robust control for a class of chaotic and hyperchaotic systems via linear state feedback

机译:通过线性状态反馈对一类混沌和超混沌系统进行鲁棒控制

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摘要

This paper investigates the issue of input-to-state stable control for a class of chaotic and hyperchaotic systems with uncertainties and interference. Based on Lyapunov theory, a linear state feedback controller is presented to guarantee the asymptotic stability and achieve the bounded state variable for any bounded disturbance. The control strength matrix can be obtained by solving the linear matrix inequality. Further, a simplified controller is achieved by transforming the dynamics equation. Finally, two illustrative examples are presented to verify the effectiveness of the proposed control scheme.
机译:本文研究了一类具有不确定性和干扰性的混沌和超混沌系统的输入状态稳定控制问题。基于李雅普诺夫理论,提出了一种线性状态反馈控制器,以保证渐近稳定性,并针对任何有界扰动实现有界状态变量。可以通过求解线性矩阵不等式来获得控制强度矩阵。此外,通过变换动力学方程来实现简化的控制器。最后,给出了两个说明性示例,以验证所提出的控制方案的有效性。

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