引用本文:杜昭平,岳东,胡松林,张美生.一类状态时滞广义串级控制系统的H∞镇定(英文)[J].控制理论与应用,2013,30(6):753~759.[点击复制]
DU Zhao-ping,YUE Dong,HU Song-lin,ZHANG Mei-sheng.H-infinity stabilization for a class of singular cascade control systems with time-delay in state[J].Control Theory and Technology,2013,30(6):753~759.[点击复制]
一类状态时滞广义串级控制系统的H∞镇定(英文)
H-infinity stabilization for a class of singular cascade control systems with time-delay in state
摘要点击 2301  全文点击 1442  投稿时间:2012-03-03  修订日期:2012-11-11
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DOI编号  10.7641/CTA.2013.12039
  2013,30(6):753-759
中文关键词  H∞控制  广义系统  串级控制  状态时滞
英文关键词  H-infinity control  singular systems  cascade control  time-delay in state
基金项目  This work is supported by National Natural Science Foundation of China (Nos. 61074025, 61203024), the China Postdoctoral Science Foundation (No. 20110491148) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 11KJD120001).
作者单位E-mail
杜昭平* 华中科技大学 控制科学与工程系 duzhaoping98@163.com 
岳东 华中科技大学 控制科学与工程系  
胡松林 华中科技大学 控制科学与工程系  
张美生 山东建筑大学 校长办公室  
中文摘要
      针对一类具有状态时滞的广义串级控制系统, 研究其H∞控制问题. 考虑到当非零扰动作用于系统时采用静态反馈控制对于被控对象的输出具有不足性, 从而将串级控制应用于具有状态时滞的广义系统中, 并且建立了闭环广义串级控制系统新的模型. 提出的方法着重在于串级控制在广义系统中的应用. 利用线性矩阵不等式方法得到了相应系统正则、无脉冲和稳定的条件, 并进一步利用得到的条件给出了相应的H∞稳定控制器设计方法. 最后通过仿真实例说明了所提方法的有效性.
英文摘要
      This paper investigates the H-infinity control for a class of singular cascade control systems with time-delay in state. Because of the undesirable output performance in the feedback control when non-zero disturbances exist the systems, the cascade control is applied for the singular systems with time-delay in state; and a new model is derived for the closed-loop singular cascade control system. The proposed method emphasizes the employment of cascade control to the singular systems. The resulting regularity, impulse-free and stability conditions are derived in terms of linear matrix inequalities;and the corresponding H-infinity stabilizing controller design technique is developed based on the above conditions. A simulation and experimental example is given to illustrate the effectiveness of the obtained results.