自动化学报2012，Vol.38Issue(2)：303-307,5.DOI:10.3724/SP.J.1004.2012.00303
含有不确定性的2维离散线性系统的鲁棒H2滤波设计
Robust H2 Filtering Design for 2-D Discrete-time Linear System with Uncertainties
摘要
Abstract
This paper is about robust H2 filtering design for 2-dimensional discrete-time linear system with convex uncertainties and presents two methods to design the filtering. The first method is based on the idea of introducing parameter-dependent matrix function. As the degree of matrix function increases, more variables are generated to lead to less conservative results. However, the degree can not go infinitely and there exists supre-mum. The conservatism can not be further reduced when the degree arrives at the supremum. Then, in order to further reduce the conservatism, the second method, I.e., iteration algorithm is proposed based on the analysis of the possible source of conservatism. Since no special structures are required in the slack variables, the algorithm is less conservative than the existing results. In the end, two examples are presented to illustrate that the second method can further reduce conservatism even when the first one fails to do.关键词
2维系统/鲁棒滤波/H2性能/线性矩阵不等式Key words
2-D systems/ robust filtering design/ H2 perfor-mance/ linear matrix inequality (LMI)引用本文复制引用
王利魁,胡国林,刘娟娟..含有不确定性的2维离散线性系统的鲁棒H2滤波设计[J].自动化学报,2012,38(2):303-307,5.基金项目
国家自然科学基金(61104220,61165014,11102078),江西省自然科学基金(2010GQS0173),江西省教育厅基金(GJJ11170)资助 （61104220,61165014,11102078）
