| A novel robust proportional-integral （PI） adaptive observer design for chaos synchronization |
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| 引用本文： | Mahdi Pourgholi,Vahid Johari Majd. A novel robust proportional-integral （PI） adaptive observer design for chaos synchronization[J]. 中国物理 B, 2011, 20(12): 120503-120503. DOI: 10.1088/1674-1056/20/12/120503 |
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| 作者姓名： | Mahdi Pourgholi Vahid Johari Majd |
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| 作者单位： | Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran |
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| 摘 要： |
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| 关 键 词： | 自适应混沌同步 观测器设计 比例积分 Lorenz混沌系统 PI 线性矩阵不等式 参数不确定性 输入干扰 |
| 收稿时间： | 2011-02-26 |
A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization |
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| Mahdi Pourgholi and Vahid Johari Majd. A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization[J]. Chinese Physics B, 2011, 20(12): 120503-120503. DOI: 10.1088/1674-1056/20/12/120503 |
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| Authors: | Mahdi Pourgholi and Vahid Johari Majd |
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| Affiliation: | Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran |
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| Abstract: | In this paper, chaos synchronization in the presence of parameter uncertainty, observer gain perturbation and exogenous input disturbance is considered. A nonlinear non-fragile proportional-integral (PI) adaptive observer is designed for the synchronization of chaotic systems; its stability conditions based on the Lyapunov technique are derived. The observer proportional and integral gains, by converting the conditions into linear matrix inequality (LMI), are optimally selected from solutions that satisfy the observer stability conditions such that the effect of disturbance on the synchronization error becomes minimized. To show the effectiveness of the proposed method, simulation results for the synchronization of a Lorenz chaotic system with unknown parameters in the presence of an exogenous input disturbance and abrupt gain perturbation are reported. |
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| Keywords: | adaptive observer H-infinity design chaos synchronization linear matrix inequality |
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