caa a22 4500 60620508X CHVBK 20210128101005.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00034-015-9994-7 doi (NATIONALLICENCE)springer-10.1007/s00034-015-9994-7 Fault Detection Filtering for Uncertain Itô Stochastic Fuzzy Systems With Time-Varying Delays [Elektronische Daten] [Guangming Zhuang, Xingjiang Yu, Jun Chen] This paper considers the problem of robust $$H_{\infty }$$ H ∞ fault detection for a class of Itô stochastic Takagi-Sugeno fuzzy systems with time-varying delays and parameter uncertainties. The purpose is to design fuzzy-rule-independent and fuzzy-rule-dependent fault detection filters, which guarantee the fault detection system is not only mean square asymptotically stable, but also satisfies a prescribed $$H_{\infty }$$ H ∞ -norm level for all admissible uncertainties. Via the application of Lyapunov stability theory and the linear matrix inequality technique, novel delay-dependent solvability conditions are obtained. Weighting fault signal approach is utilized to improve the performance of the fault detection system, and explicit expression of the desired filter parameters is characterized by congruence transformation, matrix decomposition, and convex optimization technique. A numerical example and a mass-spring-damper mechanical system are employed to illustrate the usefulness and effectiveness of the proposed method. Springer Science+Business Media New York, 2015 Fault detection filtering nationallicence Itô stochastic fuzzy system nationallicence Parameter uncertainty nationallicence Time-varying delay nationallicence Linear matrix inequality nationallicence Zhuang Guangming School of Mathematical Sciences, Liaocheng University, 252059, Liaocheng, Shandong, People's Republic of China aut Yu Xingjiang School of Mathematical Sciences, Liaocheng University, 252059, Liaocheng, Shandong, People's Republic of China aut Chen Jun School of Automation, Nanjing University of Science and Technology, 210094, Nanjing, People's Republic of China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2839-2871 0278-081X 34:9<2839 2015 34 34 https://doi.org/10.1007/s00034-015-9994-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-9994-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhuang Guangming School of Mathematical Sciences, Liaocheng University, 252059, Liaocheng, Shandong, People's Republic of China aut NATIONALLICENCE 700 1- Yu Xingjiang School of Mathematical Sciences, Liaocheng University, 252059, Liaocheng, Shandong, People's Republic of China aut NATIONALLICENCE 700 1- Chen Jun School of Automation, Nanjing University of Science and Technology, 210094, Nanjing, People's Republic of China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/9(2015-09-01), 2839-2871 0278-081X 34:9<2839 2015 34 34