引用本文: | 王建国,顾廷权,曹广益,朱新坚,唐成龙,陈培林.一类不稳定时滞过程的最优控制[J].控制理论与应用,2009,26(5):567~569.[点击复制] |
WANG Jian-guo,GU Ting-quan,CAO Guang-yi,ZHU Xin-jian,TANG Cheng-long,CHEN Pei-lin.Optimal control for a class of unstable time-delay processes[J].Control Theory and Technology,2009,26(5):567~569.[点击复制] |
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一类不稳定时滞过程的最优控制 |
Optimal control for a class of unstable time-delay processes |
摘要点击 1850 全文点击 1160 投稿时间:2007-06-08 修订日期:2008-09-19 |
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DOI编号 10.7641/j.issn.1000-8152.2009.5.019 |
2009,26(5):567-569 |
中文关键词 最优控制 控制能量约束 不稳定过程 谱分解 时 |
英文关键词 optimal control control energy constraint unstable process spectral factorization time-delay |
基金项目 国家863项目基金资助项目(2003AA517020). |
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中文摘要 |
本文对控制能量存在约束条件下一类不稳定时滞过程的最优控制问题进行了探讨. 首先基于不稳定过程的互质分解, 由敏感度函数和控制敏感度函数定义了一个包含跟踪误差和控制能量在内的性能指标, 然后应用谱分解最小化该性能指标, 从而为一类不稳定时滞过程导出了一种最优的控制器设计方法, 可使系统在控制能量存在约束时获得最优的控制性能. 仿真研究进一步说明了该方法的有效性. |
英文摘要 |
The optimal control problem is studied for a class of unstable time-delay processes under control-energy constraint. Firstly, based on the prime factorization of unstable process, we define a performance index containing the tracking error and plant input energy, which is represented by the sensitivity function and the control -sensitivity function. Applying the spectral factorization to minimize the performance criterion, we derive an optimal controller design method for a class of unstable time-delay processes, which can be used to obtain the optimal system performance under control energy constraint. Finally, the validity of the proposed approach is confirmed by the simulation research. |
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