Robust H∞ filter for discrete-time linear system with uncertain missing measurements and non-linearity

作     者：Tian, Engang Yue, Dong Wei, Guoliang 

作者机构：Nanjing Normal Univ Sch Elect & Automat Engn Nanjing 210042 Jiangsu Peoples R China Huazhong Univ Sci & Technol Dept Control Sci & Engn Wuhan 430074 Hubei Peoples R China Huazhong Univ Sci & Technol Key Lab Minist Educ Image Proc & Intelligent Control Wuhan 430074 Hubei Peoples R China Univ Shanghai Sci & Technol Sch Opt Elect & Comp Engn Shanghai Peoples R China 

出 版 物：《IET SIGNAL PROCESSING》 (IET Signal Proc.)

年 卷 期：2013年第7卷第3期

页      面：239-248页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 

基　　金：National Nature Science Foundation of China [60904013, 61273114, 61273115] Natural Science Foundation of Jiangsu Province of China [BK2012847, BK2012469] National Natural Science Foundation of China [61074024, 61074025] Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning Program for New Century Excellent Talents in University [NCET-11-1051] Shanghai Natural Science Foundation of China [10ZR1421200] 

主　　题：discrete time filters linear matrix inequalities H∞ filters robust H∞ filter discrete-time linear system uncertain missing measurements probabilistic nonlinearities measurement missing rate nonlinearity variation information nonlinearity model filtering error dynamics time delay Lyapunov functional approach H∞ performance analysis linear matrix inequalities 

摘      要：This study considers robust H-infinity filtering for discrete system with uncertain multiple missing measurements and probabilistic non-linearities. The measurement missing rate is assumed to be known with uncertainties and the non-linearities variation information between different bounds is utilised to build new type of non-linearity model. Employing these new characteristics, new filtering error dynamics with time delay and uncertainties are proposed. By using Lyapunov functional approach, sufficient conditions on the H-infinity performance analysis are obtained, and the desired filter parameters can also be obtained by solving certain linear matrix inequalities. Finally, an example is proposed to show the effectiveness of the proposed model and design procedures.