| 引用本文: | 刘翔,王文海,孙优贤,余涛.多变量数字鲁棒最优控制器的设计及应用[J].控制理论与应用,2006,23(4):552~555.[点击复制] |
| LIU Xiang, WANG Wen-hai, SUN You-xian, YU Tao .Design and application of multivariable digital robust optimal controllers[J].Control Theory and Technology,2006,23(4):552~555.[点击复制] |
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| 多变量数字鲁棒最优控制器的设计及应用 |
| Design and application of multivariable digital robust optimal controllers |
| 摘要点击 1527 全文点击 785 投稿时间：2004-12-20 修订日期：2005-10-14 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.4.011 |
| 2006,23(4):552-555 |
| 中文关键词 鲁棒性 时域指标 动态解耦 正规矩阵 行特征函数 |
| 英文关键词 robustness time-domain indices dynamic decoupling normal matrix row characteristic functions |
| 基金项目 国家自然科学基金资助项目(60274036)． |
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| 中文摘要 |
| 针对线性多变量离散控制系统,给出一种新的鲁棒最优控制器的设计方法．该方法提出了多变量系统的行特征函数的设计新思想,实现等价系统的动态解耦,使闭环控制系统的传递函数矩阵为正规矩阵,达到鲁棒H∞最优稳定;进一步,通过对等价解耦控制系统应用l∞最优控制方法,又能使原闭环控制系统获得最优时域指标．通过在某纸机3种定量和水分控制系统中的在线应用,验证了数字控制器的最优性与鲁棒性． |
| 英文摘要 |
| For linear multivariable discrete-time control systems, a new design approach to robust optimal controllers is developed in this paper. By presenting a new design concept to select row characteristic functions for a multi-variable system, a robust decomposition method is built up to guarantee the normalization of the closed-loop transfer function matrix. The H-infinity robust stability and the optimal time domain indices for the closed-loop system are then achieved simultaneously by utilizing the 1-infinity optimal control approach in its decoupling equivalent system. Finally, optimization and robustness of this digital controller are verified by an on-line application in a paper-making control system for three different indices of quantity and moisture. |
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