A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

doi:10.1088/1674-1056/20/12/120503

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120503-120503.doi: 10.1088/1674-1056/20/12/120503

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

Mahdi Pourgholi, Vahid Johari Majd

Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran

收稿日期:2011-02-26 修回日期:2011-06-30 出版日期:2011-12-15 发布日期:2011-12-15

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

Mahdi Pourgholi^† and Vahid Johari Majd

Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran

Received:2011-02-26 Revised:2011-06-30 Online:2011-12-15 Published:2011-12-15

摘要/Abstract

摘要： 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.

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.

Key words: adaptive observer, H-infinity design, chaos synchronization, linear matrix inequality

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

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.

Mahdi Pourgholi and Vahid Johari Majd . A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization[J]. Chin. Phys. B, 2011, 20(12): 120503-120503.

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A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

A novel robust proportional-integral (PI) adaptive observer design for chaos synchronization

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