Chaotic synchronisation using output/full state-feedback polynomial controller
Chaotic synchronisation using output/full state-feedback polynomial controller
复制标题
使用输出/全状态反馈多项式控制器的混沌同步
DOI：
10.1049/iet-cta.2009.0328
复制
发表时间：
2010
影响因子：
2.6
通讯作者：
Lam H
中科院分区：
文献类型：
--
作者：
Lam H
本研究提出了两个混沌系统的同步，即驱动和响应混沌系统，使用多项式控制器。输出和全状态反馈多项式控制器，分别提出，驱动响应系统的系统状态，以接近那些驱动之一。利用李雅普诺夫稳定性理论研究了整个系统的稳定性。的平方和（SOS）的稳定性条件推导出辅助多项式控制器的反馈增益的设计。通过满足基于SOS的稳定性条件，实现了混沌同步，系统性能由H ∞性能函数保证。仿真例子说明了所提出的多项式控制方法的优点。
This study presents the synchronisation of two chaotic systems, namely drive and response chaotic systems, using polynomial controllers. Both output and full state-feedback polynomial controllers are proposed, respectively, to drive the system states of the response system to approach those of the drive one. The system stability of the overall system is investigated by the Lyapunov stability theory. Stability conditions in terms of sum of squares (SOS) are derived to aid the design of the feedback gains of the polynomial controllers. By satisfying the SOS-based stability conditions, chaotic synchronisation is achieved with system performance guaranteed by anH∞performance function. Simulation examples are given to illustrate the merits of the proposed polynomial control approach.