| 引用本文: | 唐功友, 李超, 高洪伟.线性时滞系统基于观测器的最优输出跟踪控制器近似设计[J].控制理论与应用,2008,25(1):120~124.[点击复制] |
| TANG Gong-you, LI Chao, GAO Hong-wei.Observer-based approximate design of optimal output-tracking controller for linear systems with time-delay[J].Control Theory and Technology,2008,25(1):120~124.[点击复制] |
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| 线性时滞系统基于观测器的最优输出跟踪控制器近似设计 |
| Observer-based approximate design of optimal output-tracking controller for linear systems with time-delay |
| 摘要点击 2308 全文点击 1277 投稿时间：2005-12-12 修订日期：2006-12-05 |
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| DOI编号 |
| 2008,25(1):120-124 |
| 中文关键词 线性系统 时滞系统 最优控制 输出跟踪控制 观测器 |
| 英文关键词 linear systems time-delay systems optimal control output-tracking control observer |
| 基金项目 国家自然科学基金资助项目(60574023); 山东省自然科学基金重点资助项目(Z2005G01); 青岛市自然科学基金资助项目(05-1-JC-94). |
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| 中文摘要 |
| 研究线性时滞系统的最优输出跟踪控制器近似设计过程. 首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列, 并证明它们一致收敛于原问题的最优解. 然后通过对该解序列的有限次迭代, 得到最优输出跟踪控制问题的一个近似解, 进一步给出一个计算近似最优输出跟踪控制律的算法. 最后通过构造降维参考输入观测器解决了最优输出跟踪控制器中前馈项的物理可实现问题. 仿真结果表明该方法是有效的, 且易于实现. |
| 英文摘要 |
| An approximate design procedure of optimal output-tracking controller is considered for linear systems with time-delay. First, based on the optimal output-tracking control problem of the original system, two iterative sequences of differential equations with known initial and terminal conditions are constructed and proved to be convergent uniformly to the optimal solution of the original problem. Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained. Furthermore, an algorithm is given to calculate the approximate optimal output-tracking control law. Finally, a reduced-order reference input observer is designed to make the feedforward term in the optimal output-tracking controller physically realizable. Simulation results illustrate that the presented approach is effective and simple to implement. |
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