| 引用本文: | 邓小飞,年晓红,潘欢.多个线性时滞系统的关联稳定与协调控制[J].控制理论与应用,2010,27(11):1504~1510.[点击复制] |
| DENG Xiao-fei,NIAN Xiao-hong,PAN Huan.Interconnected stability and cooperative control of linear time-delay systems[J].Control Theory and Technology,2010,27(11):1504~1510.[点击复制] |
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| 多个线性时滞系统的关联稳定与协调控制 |
| Interconnected stability and cooperative control of linear time-delay systems |
| 摘要点击 1565 全文点击 1087 投稿时间：2008-10-24 修订日期：2010-03-05 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.11.CCTA081169 |
| 2010,27(11):1504-1510 |
| 中文关键词 时滞 协调控制 稳定性 交替算法 双线性矩阵不等式 |
| 英文关键词 time-delay cooperative control stability alternate algorithm BMI |
| 基金项目 国家自然科学基金资助项目(60774045, 61075065). |
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| 中文摘要 |
| 研究线性时滞系统的时滞无关关联稳定性和协调控制问题. 利用双线性矩阵不等式(BMI), 给出了两个系统关联稳定和协调镇定的充分条件, 将关联和协调控制器的设计问题转化为具有BMI约束的非凸优化问题, 并给出了求解这类问题的交替算法. 最后, 通过一个数值例子来说明本文结果的有效性. 研究结果表明, 不稳定的时滞系统可以通过设计关联或协调控制构成稳定的组合系统. |
| 英文摘要 |
| The interconnected stability and cooperative control for linear time-delay systems are investigated using the bilinear matrix inequality(BMI). Sufficient conditions for interconnected stability and cooperative stabilization for two subsystems are given. The design of interconnected and cooperative controllers is converted into a non-convex optimization problem with BMI constraints. Some alternate algorithms for solving these problems are proposed. Numerical examples are provided to illustrate the effectiveness of the proposed methods. Results show that unstable subsystems can be configured into a stable composite system through proper interconnection and by using the cooperative controllers. |