Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay

Jun-Jun Hui He-Xin Zhang Xiang-Yu Kong

Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(1): 109-116. doi: 10.1007/s11633-014-0851-0
引用本文: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong. Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(1): 109-116. doi: 10.1007/s11633-014-0851-0
Jun-Jun Hui, He-Xin Zhang and Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 109-116, 2015 doi:  10.1007/s11633-014-0851-0
Citation: Jun-Jun Hui, He-Xin Zhang and Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 109-116, 2015 doi:  10.1007/s11633-014-0851-0

Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0
基金项目: 

This work was supported by National Natural Science Foundation of China (Nos. 61074072 and 61374120).

详细信息
    作者简介:

    He-Xin Zhang received his M. Sc. degree in control science and engineering from Northwestern Polytechnical University, China in 1994, and his Ph.D. degree in control science and engineering from Xi an Research Institute of High Technology, China in 2001. Now he works as a professor in the 301 Section, Xi an Research Institute of High Technology, China. His research interests include nonlinear system identification and control, measurement and control, and adaptive control. E-mail: epzhx301@163.com

Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay

Funds: 

This work was supported by National Natural Science Foundation of China (Nos. 61074072 and 61374120).

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出版历程
  • 收稿日期:  2013-12-12
  • 修回日期:  2014-03-13

Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0
    基金项目:

    This work was supported by National Natural Science Foundation of China (Nos. 61074072 and 61374120).

    作者简介:

    He-Xin Zhang received his M. Sc. degree in control science and engineering from Northwestern Polytechnical University, China in 1994, and his Ph.D. degree in control science and engineering from Xi an Research Institute of High Technology, China in 2001. Now he works as a professor in the 301 Section, Xi an Research Institute of High Technology, China. His research interests include nonlinear system identification and control, measurement and control, and adaptive control. E-mail: epzhx301@163.com

摘要: This paper considers the problem of delay-dependent non-fragile H control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional (LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H performance analysis criterion and non-fragile H controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.

English Abstract

Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(1): 109-116. doi: 10.1007/s11633-014-0851-0
引用本文: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong. Delay-dependent Non-fragile H Control for Linear Systems with Interval Time-varying Delay[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(1): 109-116. doi: 10.1007/s11633-014-0851-0
Jun-Jun Hui, He-Xin Zhang and Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 109-116, 2015 doi:  10.1007/s11633-014-0851-0
Citation: Jun-Jun Hui, He-Xin Zhang and Xiang-Yu Kong. Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 109-116, 2015 doi:  10.1007/s11633-014-0851-0
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