引用本文:肖民卿.传感器有故障的Delta算子线性不确定系统的鲁棒D–稳定[J].控制理论与应用,2009,26(2):183~185.[点击复制]
XIAO Min-qing.Robust D-stabilization for Delta operator systems with sensor failure[J].Control Theory and Technology,2009,26(2):183~185.[点击复制]
传感器有故障的Delta算子线性不确定系统的鲁棒D–稳定
Robust D-stabilization for Delta operator systems with sensor failure
摘要点击 1322  全文点击 1312  投稿时间:2007-12-09  修订日期:2008-04-30
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DOI编号  10.7641/j.issn.1000-8152.2009.2.013
  2009,26(2):183-185
中文关键词  可靠控制  Delta算子系统  鲁棒D–稳定  线性矩阵不等式(LMI)  传感器故障
英文关键词  reliable control  delta operator system  robust D-stabilization  linear matrix inequality(LMI)  sensor failure
基金项目  国家自然科学基金资助项目(60673014).
作者单位E-mail
肖民卿 福建师范大学 数学与计算机科学学院, 福建福州350007 E-mail: xxmmqq@fjnu.edu.cn 
中文摘要
      研究传感器有故障的Delta算子线性不确定系统的鲁棒D–稳定问题, 旨在设计控制器以消除系统不确定性和传感器故障的影响, 确保闭环系统极点落在复平面指定圆盘区域内. 由于传感器故障具有连续的故障模型, 本文采用线性矩阵不等式(LMI)方法, 利用故障模型的结构信息, 得出了Delta算子系统状态反馈鲁棒D–稳定控制器存在的充分条件, 并由此提出相应控制器设计方法. 数值算例表明设计方法的可行性和有效性.
英文摘要
      The robust D-stabilization is studied for the delta operator-formulated linear uncertain systems with sensor failures. The purpose is to design a controller which can tolerate sensor failures, such that the closed-loop poles always locate in a specified disk on the complex plane for all admissible uncertainties. Based on the linear continuous model of the sensor failures, the sufficient condition for the existence of a robust D-stabilization controller is derived via the linear matrix inequality(LMI) approach, and the design procedure is also presented. A numerical example is provided to demonstrate the availability of the design method.