| 引用本文: | 祝庚,孙振东.切换线性系统的聚合优化(英文)[J].控制理论与应用,2013,30(7):815~820.[点击复制] |
| ZHU Geng,SUN Zhen-dong.Optimal aggregation of switched linear systems[J].Control Theory and Technology,2013,30(7):815~820.[点击复制] |
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| 切换线性系统的聚合优化(英文) |
| Optimal aggregation of switched linear systems |
| 摘要点击 2964 全文点击 1501 投稿时间：2012-04-28 修订日期：2012-06-29 |
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| DOI编号 10.7641/CTA.2013.12087 |
| 2013,30(7):815-820 |
| 中文关键词 稳定性 切换线性系统 聚合系统 分段状态反馈切换律 可压缩性 |
| 英文关键词 stability switched linear systems aggregated systems pathwise state-feedback switching contractivity |
| 基金项目 This paper was supported by the National Natural Science Foundation of China (No. 60925013). |
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| 中文摘要 |
| 分析了切换线性系统的稳定性和优化问题, 提出了一个Armijo步长优化的共轭梯度算法来寻找适当代价函数下的优化切换时间点集. 为了确保优化切换路径是可压缩的, 提出了代价函数需要满足的受限表达式. 设计了几种优化分段状态反馈切换律来搜索聚合系统的最优切换路径, 同时这些切换路径就是对应原始切换线性系统的次优化切换路径. 最后, 一个实例演示了不同切换律下的切换策略和优化代价. |
| 英文摘要 |
| This paper investigates the stability and optimization problems for switched linear systems. An optimal conjugate gradient algorithm with Armijo steps is presented to search the optimal time instants under proper cost functions. To ensure that the optimal switching paths are contractive, a constrained expression of those cost functions is established. Some optimal pathwise state-feedback switching laws are designed to search the optimal switching paths of aggregated systems. The switching paths are sub-optimal switching paths of the original switched linear systems. Finally, an example is provided to demonstrate the switching strategies and optimal costs under different switching laws. |