模型误差变化率有界的空间连接系统鲁棒性能分析
针对具有时空不变名义模型的空间连接系统,讨论其存在有界、线性、时空变化和有结构性约束的模型误差时,取得鲁棒性能的条件.对于时间轴和空间轴,分别定义了算子的时间变化率和空间变化率,给出了系统取得鲁棒性能时该变化率的上界和下界.研究表明,对于时间轴和空间轴上变化率满足一定条件、具有结构约束的有界模型误差,系统取得鲁棒性能的充分必要条件是存在频率域上的缩放矩阵（D标度）,使得系统名义模型范数小于1....
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| Published in | 自动化学报 Vol. 40; no. 10; pp. 2098 - 2107 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
青岛大学自动化工程学院 青岛 266071%清华大学自动化系 北京 100084
2014
清华信息科学与技术国家实验室 北京 100084 清华大学自动化系 北京 100084 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-4156 1874-1029 |
| DOI | 10.3724/SP.J.1004.2014.02098 |
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| Summary: | 针对具有时空不变名义模型的空间连接系统,讨论其存在有界、线性、时空变化和有结构性约束的模型误差时,取得鲁棒性能的条件.对于时间轴和空间轴,分别定义了算子的时间变化率和空间变化率,给出了系统取得鲁棒性能时该变化率的上界和下界.研究表明,对于时间轴和空间轴上变化率满足一定条件、具有结构约束的有界模型误差,系统取得鲁棒性能的充分必要条件是存在频率域上的缩放矩阵（D标度）,使得系统名义模型范数小于1. |
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| Bibliography: | LIU Hua-Bo ZHOU Tong 1. Department of Automation, Tsinghua University, Beijing 100084 2. College of Automation Engineering, Qingdao Uni- versity, Qingdao 266071 3. Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084 Spatially interconnected system, robust performance, model errors, noncausality, structured uncertainties This paper investigates robust performance for a kind of spatially interconnected dynamic systems under bounded, linear, time-varying, space-varying, structured uncertainties. Both temporal rate-of-variation and spatial rate- of-variation are introduced to a linear time-varying and space-varying operator. On the premise of guaranteeing robust performances, both upper and lower bounds are obtained for the maximal rate-of-variation of uncertainties. It is proved that the existence of a temporal and spatial frequency dependent D-scale matrix that can render the norm of the nominal model less than one is necessary and sufficient for robust perform |
| ISSN: | 0254-4156 1874-1029 |
| DOI: | 10.3724/SP.J.1004.2014.02098 |