Robust adaptive synchronization of a class of chaotic systems via fuzzy bilinear observer using projection operator
Robust adaptive synchronization of a class of chaotic systems via fuzzy bilinear observer using projection operator
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DOI：
10.1016/j.ins.2017.03.004
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发表时间：
2017-09
期刊：
影响因子：
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通讯作者：
Sang-Yun Lee;Mignon Park;Jaeho Baek
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文献类型：
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作者：
Sang-Yun Lee;Mignon Park;Jaeho Baek
本研究重点研究不确定双线性混沌系统的鲁棒自适应同步问题。本文采用 Takagi-Sugeno 模糊双线性系统（TSFBS）来描述双线性混沌系统。还开发了一种鲁棒的自适应观测器，用于估计 TSFBS 的状态。使用投影算子的高级自适应律旨在实现外部干扰的鲁棒性和未知系统参数的自适应。与现有观测器的比较表明，当利用自适应律时，所提出的观测器可以针对具有扰动的不确定 TSFBS 实现更快的参数自适应和鲁棒同步。一些假设和李亚普诺夫稳定性理论保证了误差动力学的渐近稳定性和鲁棒性。我们使用广义洛伦兹系统的各个方面的例子验证了所提出方案的有效性。
This study focuses on the problem of robust adaptive synchronization of uncertain bilinear chaotic systems. A Takagi–Sugeno fuzzy bilinear system (TSFBS) is employed herein to describe a bilinear chaotic system. A robust adaptive observer, which estimates the states of the TSFBS, is also developed. Advanced adaptive laws using a projection operator are designed to achieve both the robustness for the external disturbances and the adaptation of unknown system parameters. A comparison with the existing observer shows that the proposed observer can achieve a faster parameter adaptation and a robust synchronization for an uncertain TSFBS with disturbances when the adaptive laws are utilized. The asymptotic stability and the robust performance of the error dynamics are guaranteed by some assumptions and the Lyapunov stability theory. We verify the effectiveness of the proposed scheme using examples of the generalized Lorenz system in various aspects.