| 引用本文: | 杨启文,阳外玲,薛云灿,杨远慧.基于Maclaurin展开的时间绝对误差积分次优时滞系统设计[J].控制理论与应用,2011,28(12):1831~1836.[点击复制] |
| YANG Qi-wen,YANG Wai-ling,XUE Yun-can,YANG Yuan-hui.Design of integral time absolute error suboptimal time-delay system based on Maclaurin expansion[J].Control Theory and Technology,2011,28(12):1831~1836.[点击复制] |
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| 基于Maclaurin展开的时间绝对误差积分次优时滞系统设计 |
| Design of integral time absolute error suboptimal time-delay system based on Maclaurin expansion |
| 摘要点击 1906 全文点击 1764 投稿时间：2010-07-15 修订日期：2011-02-19 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.12.CCTA100824 |
| 2011,28(12):1831-1836 |
| 中文关键词 ITAE最优控制 标准型 时滞系统 Maclaurin展开 |
| 英文关键词 ITAE optimal control canonical form time-delay system Maclaurin expansion |
| 基金项目 国家自然科学基金资助项目(61074056); 江苏自然科学基金资助项目(BK2010201). |
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| 中文摘要 |
| 根据经典时间绝对误差积分(ITAE)最优系统标准型, 给出了ITAE最优时滞系统的期望模型; 利用Maclaurin展开技术, 讨论了ITAE次优时滞系统的设计方法, 并就ITAE次优和最优的三阶系统进行了频域和时域比较. 论文最后给出了基于ITAE次优时滞系统的PID和超前滞后补偿器设计实例. 阶跃响应、负载扰动以及参数鲁棒性方面的比较研究表明, 本文方法能够获得十分满意的性能指标. |
| 英文摘要 |
| A desired model of ITAE(integral time absolute error) optimal time-delay system is presented based on the canonical form of ITAE optimal system(ITAE–OS). By making use of Maclaurin expansion, a design method for ITAE suboptimal time-delay system(ITAE–STDS) is discussed. The comparison of the third order ITAE–STDS with ITAE–OS reveals their similar dynamic performance in requency domain and time domain. Case studies in design of PID and the lead-lag compensator are given. Comparisons of step response, load rejection and parameter robustness show that the resulting systems have satisfactory performance by using the proposed method. |