Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems

Yong-Hong Lan Wen-Jie Li Yan Zhou Yi-Ping Luo

Yong-Hong Lan, Wen-Jie Li, Yan Zhou, Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 296-302. doi: 10.1007/s11633-013-0724-y
引用本文: Yong-Hong Lan, Wen-Jie Li, Yan Zhou, Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 296-302. doi: 10.1007/s11633-013-0724-y
Yong-Hong Lan, Wen-Jie Li, Yan Zhou and Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems. International Journal of Automation and Computing, vol. 10, no. 4, pp. 296-302, 2013 doi:  10.1007/s11633-013-0724-y
Citation: Yong-Hong Lan, Wen-Jie Li, Yan Zhou and Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems. International Journal of Automation and Computing, vol. 10, no. 4, pp. 296-302, 2013 doi:  10.1007/s11633-013-0724-y

Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems

doi: 10.1007/s11633-013-0724-y
基金项目: 

This work was supported by National Natural Science Foundation of China (Nos. 61104072, 61104210 and 61174211) and Construct Program of the Key Discipline in Hunan Province.

Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems

Funds: 

This work was supported by National Natural Science Foundation of China (Nos. 61104072, 61104210 and 61174211) and Construct Program of the Key Discipline in Hunan Province.

More Information
    Author Bio:

    Wen-Jie Li received his B. Sc. degree in electrical engineering from Xiangtan University, China in 2012. He is currently a master student in School of Information Engineering, Xiangtan University, China. His research interests include fractional order control systems and intelligent control. E-mail: 1023626454@qq.com

    Corresponding author: Yong-Hong Lan
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出版历程
  • 收稿日期:  2013-01-29
  • 修回日期:  2013-05-28
  • 刊出日期:  2013-08-20

Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems

doi: 10.1007/s11633-013-0724-y
    基金项目:

    This work was supported by National Natural Science Foundation of China (Nos. 61104072, 61104210 and 61174211) and Construct Program of the Key Discipline in Hunan Province.

    作者简介:

    Wen-Jie Li received his B. Sc. degree in electrical engineering from Xiangtan University, China in 2012. He is currently a master student in School of Information Engineering, Xiangtan University, China. His research interests include fractional order control systems and intelligent control. E-mail: 1023626454@qq.com

摘要: This paper is concerned with the problem of the full-order observer design for a class of fractional-order Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. The stability condition is obtained in terms of LMI, which is less conservative than the existing one. A numerical example demonstrates the validity of this approach.

English Abstract

Yong-Hong Lan, Wen-Jie Li, Yan Zhou, Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 296-302. doi: 10.1007/s11633-013-0724-y
引用本文: Yong-Hong Lan, Wen-Jie Li, Yan Zhou, Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 296-302. doi: 10.1007/s11633-013-0724-y
Yong-Hong Lan, Wen-Jie Li, Yan Zhou and Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems. International Journal of Automation and Computing, vol. 10, no. 4, pp. 296-302, 2013 doi:  10.1007/s11633-013-0724-y
Citation: Yong-Hong Lan, Wen-Jie Li, Yan Zhou and Yi-Ping Luo. Non-fragile Observer Design for Fractional-order One-sided Lipschitz Nonlinear Systems. International Journal of Automation and Computing, vol. 10, no. 4, pp. 296-302, 2013 doi:  10.1007/s11633-013-0724-y
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