2D系统的有限频域滤波方法研究

项目名称： 2D系统的有限频域滤波方法研究

项目编号： No.61273201

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 王常虹

作者单位： 哈尔滨工业大学

项目金额： 80万元

中文摘要： 2D系统具有很强的工程背景，在数字图像处理、迭代学习控制、地震数据分析等工程领域具有广泛的应用。目前，2D系统的滤波理论大都假设噪声的分布是全频范围的，与噪声信号的能量往往只集中在某些有限频率段的实际情况不符，因而在实际应用时存在很大的保守性。针对上述关键问题，本项目即在2D系统的有限频域滤波理论方面展开研究。首先研究2D系统的广义KYP引理，获得多种2D系统模型的有限频域性能分析准则；其次针对实际噪声的有限频域特性，研究2D系统的有限频域滤波问题，给出有限频域滤波器的全阶和降阶设计方法；在此基础上，针对多种类型故障信号，进一步解决2D系统有限频域故障检测问题；最后，利用得到的2D系统广义KYP引理，研究2D数字滤波器设计新方法，并将该方法应用于空间交会对接地面仿真系统的数字图像滤波器设计。本项目的宗旨是提出一套完整的2D系统有限频域滤波器分析与设计方法，完善现有2D系统滤波理论。

中文关键词： 二维系统；广义KYP引理；有限频域；H无穷滤波；H无穷模型降阶

英文摘要： 2-D systems are widely applied in various engineering fields such as digital image processing, iterative learning control, seismic data analysis and so on. At present, most of the existing filtering theory of 2-D systems assumes that the noise inputs uniformly distribute in the entire frequency domain, which nevertheless, is inconsistent with the fact that the energy of many actual noise signals usually lies in finite frequeny ranges. Hence, this discrepency leads to remarkable conservatism for these filtering results when applied to practice. In view of the above problem, this application project will investigate filtering theory of 2-D systems in finite frequency domain. Firstly, we research the generalized KYP lemmas for 2-D systems, and obtain finite frequency performance analysis conditions for several 2-D system models; then by taking the finite frequency property of practical noises into account, we study the finite frequency filtering problem of 2-D systems and present full- and reduced-order design methods of finite frequency filters; in the next, based on the obtained filtering results, the problem of fault detection of 2-D systems will be solved in the finite frequency framework for several typical fault cases; finally, by virtue of the obtained generalized KYP lemmas for 2-D systems, new design metho

英文关键词： 2-D system；generalized KYP lemma；finite frequency domain；Hinf filter；Hinf reduced-order models