The H∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

doi:10.1088/1674-1056/20/7/070502

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/20/7/070502

The H_∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

Ju H. Park¹, J.H. Koo², S.C. Won², D.H. Ji³

(1)Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea; (2)Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang 790-784, Republic of Korea; (3)Mobile Communication Division, Digital Media and Communications, Samsung Electronics, Co. Ltd., 416-2 Maetan-Dong, Suwon 443-803, Republic of Korea

出版日期:2011-07-15 发布日期:2011-07-15

The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach

D.H. Ji^a), J.H. Koo^b), S.C. Won^b), and Ju H. Park^c)†

^a Mobile Communication Division, Digital Media and Communications, Samsung Electronics, Co. Ltd., 416-2 Maetan-Dong, Suwon 443-803, Republic of Korea; ^b Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang 790-784, Republic of Korea; ^c Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea

Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： We consider an $\mathcal{H}_{\infty}$ synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the $\mathcal{H}_{\infty}$ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

关键词: $\mathcal{H}_{\infty}$ synchronization, Bloch system, dynamic control, linear matrix inequality

Abstract: We consider an $\mathscr{H}_{\infty}$ synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the $\mathscr{H}_{\infty}$ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

Key words: $\mathscr{H}_{\infty}$ synchronization, Bloch system, dynamic control, linear matrix inequality

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

D.H. Ji, J.H. Koo, S.C. Won, Ju H. Park. The H_∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach[J]. 中国物理B, 2011, 20(7): 70502-070502.

D.H. Ji, J.H. Koo, S.C. Won, and Ju H. Park. The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach[J]. Chin. Phys. B, 2011, 20(7): 70502-070502.

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The H_∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

The $\mathscr{H}_{\infty}$ synchronization of nonlinear Bloch systems via dynamic feedback control approach

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