filter design for discrete time-varying delay systems: three-term approximation approach

作     者：Taha Zoulagh Hicham El Aiss Abdelaziz Hmamed Ahmed El Hajjaji 

作者机构：LESSI Laboratory Department of Physics Faculty of Sciences Dhar El Mehraz University Sidi Mohamed Ben Abdellah B.P. 1796 Fes-Atlas Morocco Modeling Information System (MIS) Laboratory University of Picardie Jules Verne UFR of Sciences 33 Rue St Leu 80000 Amiens France 

出 版 物：《IET Control Theory & Applications》 (IET控制论与应用)

年 卷 期：2018年第12卷第2期

页      面：254-262页

学科分类：0808[工学-电气工程] 08[工学] 

主　　题：H∞ filters time-varying systems delays approximation theory robust control asymptotic stability convex programming linear matrix inequalities discrete time systems H∞ filter design discrete time-varying delay systems three-term approximation approach scaled small gain approach robust asymptotic stability filtering error system H∞ performance transformation model input-output approach SSG theorem convex optimisation problem resolution linear matrix inequality constraints 

摘      要：In this study, the analysis and design problems of filtering for a class of discrete-time-varying delay systems are investigated. The authors attention is focused on the filter design using scaled small gain (SSG) approach guaranteeing the robust asymptotic stability of the filtering error system with a prescribed performance. A novel transformation model of the filtering error system is obtained via three-term approximation method and input–output approach based on SSG theorem. Then, the desired filter design is obtained through a convex optimisation problem resolution under a set of linear matrix inequality constraints. Finally, the use of many examples from the literature demonstrates the effectiveness of the proposed approach.