| 引用本文: | 耿立辉,崔世钢,赵丽.多输入多输出变量带误差模型的最坏情况频域辨识[J].控制理论与应用,2016,33(10):1366~1372.[点击复制] |
| GENG Li-hui,CUI Shi-gang,ZHAO Li.Frequency-domain worst-case identification of multiple input multiple output errors-in-variables models[J].Control Theory and Technology,2016,33(10):1366~1372.[点击复制] |
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| 多输入多输出变量带误差模型的最坏情况频域辨识 |
| Frequency-domain worst-case identification of multiple input multiple output errors-in-variables models |
| 摘要点击 3090 全文点击 1757 投稿时间：2015-11-01 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2016.15128 |
| 2016,33(10):1366-1372 |
| 中文关键词 最坏情况辨识 变量带误差(EIV)模型 多输入多输出(MIMO) 频域 v-gap度量 |
| 英文关键词 worst-case identification errors-in-variables (EIV) models multiple input multiple output (MIMO) frequency-domain v-gap metric |
| 基金项目 |
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| 中文摘要 |
| 本文将单输入单输出(SISO)变量带误差(EIV)模型的频域最坏情况辨识方法推广应用于多输入多输出
(MIMO)情况. 类似于SISO情况, 多输入多输出变量带误差(MIMO EIV)模型的辨识模型集合由估计的系统名义模型及
其最坏情况误差界描述. 所估计的系统名义模型表征为正规右图符号, 其最坏情况误差界具有可能的更少保守性, 可利
用EIV 模型的先验信息和后验信息由v-gap度量量化得到. 因此, 这种模型集合非常适合于后期利用Vinnicombe提出
的H1回路成形法设计鲁棒控制器. 最后, 利用一数值仿真实例验证所提出辨识方法的有效性. |
| 英文摘要 |
| This paper extends a frequency-domain worst-case identification method for single input single output (SISO)
errors-in-variables (EIV) models to its multiple input multiple output (MIMO) case. Similar to the SISO case, the identified
model set for a MIMO EIV model is described by an estimated nominal system model and its worst-case error bound. The
estimated nominal system model is characterized by a normalized right graph symbol and its worst-case error bound with
possibly less conservativeness is quantified by the v-gap metric using a priori and a posteriori information on the EIV model.
As a consequence, such model set is well suited to subsequent robust controller design via the H1 loop-shaping method
proposed by Vinnicombe. Finally, the proposed identification method is verified by a numerical simulation example. |