On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay

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

Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong, Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain 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): 102-108. doi: 10.1007/s11633-014-0822-5
引用本文: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong, Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain 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): 102-108. doi: 10.1007/s11633-014-0822-5
Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong and Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 102-108, 2015 doi:  10.1007/s11633-014-0822-5
Citation: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong and Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 102-108, 2015 doi:  10.1007/s11633-014-0822-5

On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0822-5
基金项目: 

This work was supported by National Natural Science Foundation of China (No. 61074072).

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. 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

On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay

Funds: 

This work was supported by National Natural Science Foundation of China (No. 61074072).

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出版历程
  • 收稿日期:  2013-08-10
  • 修回日期:  2014-01-27

On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0822-5
    基金项目:

    This work was supported by National Natural Science Foundation of China (No. 61074072).

    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. 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 robust stability for uncertain systems with interval time-varying delays. By using the direct Lyapunov method, a new Lyapunov-Krasovskii (L-K) functional is introduced based on decomposition approach, when dealing with the time derivative of L-K functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method.

English Abstract

Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong, Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain 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): 102-108. doi: 10.1007/s11633-014-0822-5
引用本文: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong, Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain 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): 102-108. doi: 10.1007/s11633-014-0822-5
Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong and Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 102-108, 2015 doi:  10.1007/s11633-014-0822-5
Citation: Jun-Jun Hui, He-Xin Zhang, Xiang-Yu Kong and Xin Zhou. On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay. International Journal of Automation and Computing, vol. 12, no. 1, pp. 102-108, 2015 doi:  10.1007/s11633-014-0822-5
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