| 引用本文: | 肖民卿,苏宏业,徐巍华.Delta算子时滞系统的可靠D--镇定[J].控制理论与应用,2013,30(1):77~83.[点击复制] |
| XIAO Min-qing,SU Hong-ye,XU Wei-hua.Reliable D-stabilization for time-delay systems of Delta operator[J].Control Theory and Technology,2013,30(1):77~83.[点击复制] |
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| Delta算子时滞系统的可靠D--镇定 |
| Reliable D-stabilization for time-delay systems of Delta operator |
| 摘要点击 2795 全文点击 2041 投稿时间：2012-04-23 修订日期：2012-08-08 |
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| DOI编号 10.7641/CTA.2013.20395 |
| 2013,30(1):77-83 |
| 中文关键词 D--稳定 D--镇定 Delta算子时滞系统 可靠控制 执行器故障 传感器故障 |
| 英文关键词 D-stability D-stabilization time-delay system of delta operator reliable control actuator failure sensor failure |
| 基金项目 国家自然科学基金重点资助项目(61134007); 福建省高校服务海西建设重点项目—–基于数学的信息化技术研究. |
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| 中文摘要 |
| 研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D--镇定问题. 利用矩阵特征值理论和线性矩阵不等式方法, 给出了Delta算子时滞系统D--稳定的充分条件, 进而, 针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统, 设计鲁棒可靠D--镇定状态反馈控制器, 使得对于所有容许的不确定性、执行器故障和传感器故障, Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内. 最后, 通过数值算例验证了控制器设计方法的可行性和有效性. |
| 英文摘要 |
| The robust reliable D-stabilization for linear uncertain time-delay systems of delta operator is studied. Based on matrix theory, a sufficient condition of D-stability for the uncertain time-delay system of delta operator is derived based on the linear matrix inequality (LMI) approach. A design method for the state-feedback robust reliable controller is developed for a class of uncertain time-delay systems of delta operator, which are with actuator failure and sensor failure. Using the controller, the poles of the closed-loop time-delay system of delta operator are displaced inside a specified disk on the complex plane for all admissible uncertainties and faults. A numerical example is provided to demonstrate the availability of the design method. |