引用本文:滕毓发, 张庆灵.导数反馈下闭环广义系统的稳定性[J].控制理论与应用,2008,25(1):21~26.[点击复制]
TENG Yu-fa, ZHANG Qing-ling.Stabilization for the closed-loop descriptor system via derivative feedback[J].Control Theory and Technology,2008,25(1):21~26.[点击复制]
导数反馈下闭环广义系统的稳定性
Stabilization for the closed-loop descriptor system via derivative feedback
摘要点击 2339  全文点击 1381  投稿时间：2006-05-11  修订日期：2006-12-13
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DOI编号  10.7641/j.issn.1000-8152.2008.1.004
  2008,25(1):21-26
中文关键词  闭环广义系统  导数反馈  K-脉冲能控  L-脉冲能控  动态阶  稳定
英文关键词  closed-loop descriptor system  derivative feedback  K-impulse controllability  L-impulse controllability  dynamic order  stabilization
基金项目  国家杰出青年科学基金资助项目(51685168); 教育部重点科研基金资助项目(02152).
作者单位
滕毓发, 张庆灵 东北大学系统科学研究所, 辽宁沈阳110004
徐州空军学院基础部, 江苏徐州221000
东北大学流程工业综合自动化教育部重点实验室, 辽宁沈阳110004 
中文摘要
      针对导数反馈下闭环广义系统的稳定性问题, 利用一种受限等价意义下的矩阵束分解[5], 首先给出在不同动态阶(从最小到最大阶)下消除脉冲行为的充分条件. 并根据各种动态阶, 分别给出导数反馈控制器的设计方法.进而给出导数反馈下闭环广义系统稳定及局部导数反馈下闭环广义关联大系统的分散稳定的充分条件. 最后用数值算例来验证所给结果的有效性.
英文摘要
      The stabilization for the closed-loop descriptor systems under the derivative feedback is studied by using the decomposition of matrix pencils under a sense of limited equivalence. The sufficient conditions are obtained for the elimination of pulse behavior under dynamic orders (from minimum to maximum). Different methods are then given for the design of derivative feedback controllers according to the orders. Furthermore, sufficient conditions are given for both the stabilization for the closed-loop descriptor systems under derivative feedback and the decentralized stabilization for the closed-loop large-scale interconnected descriptor systems under partial derivative feedback. A numerical example is given to verify the effectiveness of the results.