| 引用本文: | 范金华,郑志强,吕鸣.饱和系统的线性最优容错不变集.[J].国防科技大学学报,2010,32(6):158-162.[点击复制] |
| FAN Jinhua,ZHENG Zhiqiang,LV Ming.Linear Optimal Fault-tolerant Invariant Set for Saturating System[J].Journal of National University of Defense Technology,2010,32(6):158-162[点击复制] |
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| 饱和系统的线性最优容错不变集 |
| 范金华, 郑志强, 吕鸣 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 针对饱和系统的容错控制问题，提出了一种D稳定约束下系统吸引域的估计方法。分别以不变集和参考集的容量为优化目标，给出了两个优化容错不变集的充分条 件。为解决不变集优化中出现的双线性矩阵不等式(BMI)问题，通过构造包含线性矩阵不等式(LMI)的目标函数，将它转化为非线性规划的形式进行求解。通过一个仿真实例对该方法进行验证。 |
| 关键词: 饱和系统 D稳定 容错不变集 双线性矩阵不等式 |
| DOI： |
| 投稿日期：2010-04-11 |
| 基金项目:国家部委资助项目 |
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| Linear Optimal Fault-tolerant Invariant Set for Saturating System |
| FAN Jinhua, ZHENG Zhiqiang, LV Ming |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| To solve the problem of fault-tolerant control for saturating system, a design method was presented to estimate the attraction domain of the saturating system with constraints of D-stability. Based on the volume of the invariant set and the reference set, two sufficient conditions were given to optimize the fault-tolerant invariant set. To solve the BMI resulting from the optimization problems, an algorithm was provided by constructing proper objective functions which incorporate the LMI, and turning the BMI to the nonlinear programming problems. The simulation results verified the effectiveness of the proposed approach. |
| Keywords: saturating system D-stability fault-tolerant invariant set bilinear matrix inequality(BMI) |
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