| 引用本文: | 王进华.混合H2/H∞鲁棒控制器设计[J].控制理论与应用,2004,21(1):45~53.[点击复制] |
| WANG Jin-hua.Design of mixed H2/H∞ controller[J].Control Theory and Technology,2004,21(1):45~53.[点击复制] |
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| 混合H2/H∞鲁棒控制器设计 |
| Design of mixed H2/H∞ controller |
| 摘要点击 1665 全文点击 3488 投稿时间：2002-02-06 修订日期：2003-06-26 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.1.010 |
| 2004,21(1):45-53 |
| 中文关键词 鲁棒控制 性能指标 不确定性 H2/H∞控制 |
| 英文关键词 robust control performance uncertain H2/H∞ control |
| 基金项目 福建省科技创新基金项目; 福州大学科技发展基金资助项目. |
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| 中文摘要 |
| 在状态空间描述下,定义了混合H2/H∞控制的完整信息、完整控制、干扰顺馈、输出估计这4种典型情况.在二次稳定意义上,讨论了混合H2/H∞的性能指标,及这4种典型情况的混合H2/H∞线性反馈控制器设计,给出了充分必要条件.在典型情况分析的基础上,研究一般意义上的混合H2/H∞反馈控制器设计.H2和H∞的干扰输入阵及性能评价函数各不相同时的混合H2/H∞反馈控制器,与H2和H∞控制器设计相似,归结为解两个Riccati方程.但这两个Riccati方程含有参数,最优解要通过搜索这两个参数得到.结果包含了单纯的H2和H∞设计,可看作是H2,H∞和混合H2/H∞的统一设计方法.最后通过一个简单的例子,说明了控制器设计方法的可行性. |
| 英文摘要 |
| In state space descriptions, four typical systems of mixed H-two／H-infinity control were defined. They are full information system, full control system, feedforward disturbance system and output estimation system. Their controllers were designed to optimize the performance based on a kind of quadratic stable. Mixed H-two／H-infinity control system was decomposed into an inner matrix and a mixed H-two／H-infinity output estimation system. The output feedback controller was deduced according to this decomposition. Mixed H-two／H-infinity controller delivered here are analog to H-two and H-infinity controller in that they have the same controller structure, the same number of Riccati equations and similar Riccati equations. The given controllers including the H-two and H-infinity cases, can be treated as unified controllers of H-two, H-infinity and mixed H-two／H-infinity control. Finally, a simple example was given to illustrate the proposed methods. |
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