控制理论与应用2016,Vol.33Issue(10):1366-1372,7.DOI:10.7641/CTA.2016.15128
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
Abstract
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 H∞ loop-shaping method proposed by Vinnicombe. Finally, the proposed identification method is verified by a numerical simulation example.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Key words
worst-case identification/errors-in-variables (EIV) models/multiple input multiple output (MIMO)/frequency-domain/v-gap metric分类
自科综合引用本文复制引用
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):1366-1372,7.基金项目
Supported by National Natural Science Foundation of China (61203119,61304153), Key Program of Tianjin Natural Science Foundation, China (14JCZDJC36300) and Tianjin University of Technology and Education Funded Project (RC14-48) (61203119,61304153)