New H ₂ filtering for descriptor systems: Singular and normal filters

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• 作者：Sahereh Beidaghi ; Ali Akbar Jalali…
• 关键词：Continuous ; time ; descriptor systems ; H2 filtering ; H2 performance ; strict LMIs
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：15
• 期：1
• 页码：160-168
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics;
• 出版者：Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
• ISSN：2005-4092
• 卷排序：15

文摘

This paper considers the H₂ filtering problem for continuous-time descriptor systems by revisiting the H₂ performance and introducing the new formulation. Differing from previous results, recent note provides solvability conditions of the H₂ filtering problem with both the singular and the normal filters. The results are introduced as necessary and sufficient conditions for the singular filters and as sufficient conditions for the normal filters. These conditions are extracted without decomposing the original system matrices and are expressed in terms of strict linear matrix inequalities (LMIs). A numerical example with simulation results is given to illustrate the effectiveness of the proposed methods.