期刊文献+

不确定时滞系统的区间时滞相关鲁棒镇定 被引量:2

Delay-range-dependent stabilization for uncertainty systems with time delay
在线阅读 下载PDF
导出
摘要 研究了时间滞后满足区间变化的线性连续系统鲁棒镇定问题。采用Lyapunov-Krasovskii稳定性分析方法,给出了区间时滞依赖系统的状态反馈设计稳定解。进一步研究参数化不确定性情况下,区间时滞依赖系统的鲁棒稳定性判据和鲁棒状态反馈控制器设计方法。最后,通过仿真算例比较,验证了此方法的有效性。 The problem of delay-dependent stabilization for linear systems with parameter uncertainties is discussed. The delay-dependent state feedback solution is presented in terms of a set of linear matrix inequalities (LMIs). According to these results, the robust stability sufficient conditions and the robust state feedback con- troller design method are derived. Finally, the validity of this approach is illustrated by a numerical example.
出处 《系统工程与电子技术》 EI CSCD 北大核心 2008年第12期2451-2454,共4页 Systems Engineering and Electronics
基金 国家自然科学基金(60134010) 航空科学基金(2007ZD53053)资助课题
关键词 区间时滞依赖 LYAPUNOV-KRASOVSKII 鲁棒稳定 线性矩阵不等式 delay-range-dependent Lyapunov-Krasovskii robust stability linear matrix inequality
  • 相关文献

参考文献7

  • 1Fridman Emilia. Delay-dependent stability and H∞ control: constant and time-varying delays[J]. International Journal of Control, 2003, 76(1):48-60.
  • 2Fridman Emilia. Stability of linear descriptor systems with delay: a Lyapunov-based approach[J]. Journal of Mathematical Analysis and Applications, 2002, 273 (1) : 24 - 44.
  • 3James Lam, Gao Huijun, Wang Changhong. Stability analysis for continuous systems with two additive time-varying delay components[J]. Systems & Control Letters, 2007, 56(1):16- 24.
  • 4He Yong, Wang Qingguo, Lin Chong, et al. Delay-range-dependent stability for systems with time-varying delay[J]. Automatica, 2007, 43(2) :371 - 376.
  • 5舒伟仁,李凤云.时滞广义区间系统的H_∞鲁棒弹性控制[J].系统工程与电子技术,2006,28(11):1747-1751. 被引量:4
  • 6陆国平,施也冲,翟其亮.一类不确定时滞系统的鲁棒H_∞控制[J].系统工程与电子技术,2002,24(5):41-44. 被引量:7
  • 7Jiang Xiefu, Han Qinglong. On H∞ control for linear systems with interval time-varying delay [J]. Automatica, 2005, 41 (12): 2099-2106.

二级参考文献8

  • 1舒伟仁,张庆灵.时滞广义系统的状态反馈H_∞控制[J].系统工程与电子技术,2004,26(12):1871-1875. 被引量:7
  • 2[1]Doyle J C,Khargonekar G K,Francis B A. State Space Soluti ons to Standard H2 and H∞ Control Problems[J]. IEEE Trans. Automa t. Contr., 1989, 34:831-846.
  • 3[2]Ge J, Frank P M, Lin C. Robust H∞ State Feedback Control for Linear System s with State Delay and Parameter Uncertainty[J]. Automatica, 1996, 32:1183-118 5.
  • 4[3]Lee J H, Kim S W, Kown W H. Memoryless H∞ Controllers for State Del ayed Systems[J]. IEEE Trans.Automat.Contr.,1994, 39:784-788.
  • 5[4]Yu L, Chu J, Su H Y. Robust Memoryless H∞ Controller Design for Lin ear Time -Delay Systems with Norm-Bounded Time-Varying Uncertainty[J]. Automatica, 19 96, 32:1759-1762.
  • 6[5]Horn R A, Johnson C R. Matrix Analysis[M]. UK:Cambridge Univ. Press, 19 85.
  • 7吴方向,史忠科,戴冠中.区间系统的H_∞鲁棒控制[J].自动化学报,1999,25(5):705-708. 被引量:52
  • 8周绍生,李洪亮,冯纯伯.一类带有时滞的广义系统的H_∞控 :一种LMI方法(英文)[J].控制理论与应用,2002,19(3):324-328. 被引量:21

共引文献9

同被引文献25

  • 1舒伟仁,张庆灵.不确定时滞广义系统的鲁棒非脆弱H_∞控制[J].控制与决策,2005,20(6):629-633. 被引量:19
  • 2WU Zheng-Guang,ZHOU Wu-Neng.Delay-dependent Robust Singular Systems Stabilization for Uncertain with State Delay[J].自动化学报,2007,33(7):714-718. 被引量:27
  • 3Rosenbrock H H. Structural properties of linear dynamic systems[J]. International Journal Control, 1974,20(2) : 191 - 202.
  • 4Lewis F L. A survey of linear singular systems [J]. Circuits Systems and Signal Processing, 1986,5 (1) : 3 - 36.
  • 5Dai L. Singular control systems[M]. Berlin: Springer-Verlag, 1989,.
  • 6Wu M, He Y, She J H, et al. Delay-dependent criteria for robust stebility of time-varying delay systems[J]. Automatica, 2004,40(3) :1435 - 1439.
  • 7Zhu S Q, Zhang C H, Cheng Z L, et al. Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems[J].IEEE Trans. on Automatic Control, 2007,52 (5) :880 - 885.
  • 8He Y, Wang Q G, Lin C, et al. Delay-range-dependent stability for systems with time-varying delay [J]. Automatica, 2007, 43 (2):371 -376.
  • 9Sun J, Liu G P, Chen J, et al. Improved delay-range-dependent stability criteria for linear systems with time-varying deiays[J]. Automatica,2010,46(2) :466 - 470.
  • 10Haidar A, Boukas E K. Exponential stability of singular systems with multiple time-varying delays[J]. Automatica,2009, 45(i) :539- 545.

引证文献2

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部