{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:34:05Z","timestamp":1760243645632,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2012,6,8]],"date-time":"2012-06-08T00:00:00Z","timestamp":1339113600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper is concerned with the reliable finite frequency filter design for networked control systems (NCSs) subject to quantization and data missing. Taking into account quantization, possible data missing and sensor stuck faults, NCSs are modeled in the framework of discrete time-delay switched systems, and the finite frequency l2 gain is adopted for the filter design of discrete time-delay switched systems, which is converted into a set of linear matrix inequality (LMI) conditions. By the virtues of the derived conditions, a procedure of reliable filter synthesis is presented. Further, the filter gains are characterized in terms of solutions to a convex optimization problem which can be solved by using the semi-definite programme method. Finally, an example is given to illustrate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/s120607975","type":"journal-article","created":{"date-parts":[[2012,6,8]],"date-time":"2012-06-08T11:25:11Z","timestamp":1339154711000},"page":"7975-7993","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Reliable Finite Frequency Filter Design for Networked Control Systems with Sensor Faults"],"prefix":"10.3390","volume":"12","author":[{"given":"He-Hua","family":"Ju","sequence":"first","affiliation":[{"name":"College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100124, China"}]},{"given":"Yue","family":"Long","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, China"}]},{"given":"Heng","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100124, China"}]}],"member":"1968","published-online":{"date-parts":[[2012,6,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1145","DOI":"10.1016\/j.automatica.2006.12.027","article-title":"Quadratic stabilization of linear networked control systems via simultaneous protocol and controller design","volume":"43","year":"2007","journal-title":"Automatica"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2805","DOI":"10.1016\/j.automatica.2011.09.007","article-title":"Network-based feedback control for systems with mixed delays based on quantization and dropout compensation","volume":"47","author":"Yang","year":"2011","journal-title":"Automatica"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1002\/rnc.1607","article-title":"Stabilization of networked control systems with nonuniform random sampling periods","volume":"21","author":"Yang","year":"2011","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1080\/00207170903104174","article-title":"Time delay and packet dropout compensation for networked control systems: A linear estimation method","volume":"81","author":"Wang","year":"2010","journal-title":"Int. J. Control"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1109\/TAC.2005.864207","article-title":"H\u221e control for networked systems with random communication delays","volume":"51","author":"Yang","year":"2006","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"4323","DOI":"10.1109\/TIE.2010.2102322","article-title":"Stabilization of networked control systems with random delays","volume":"58","author":"Luan","year":"2011","journal-title":"IEEE Transa. Ind. Electron."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1016\/j.automatica.2004.12.011","article-title":"Network-based robust H\u221e control of systems with uncertainty","volume":"41","author":"Yue","year":"2005","journal-title":"Automatica"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1016\/j.jfranklin.2011.03.002","article-title":"H\u221e control for network-based systems with time-varying delay and packet disording","volume":"348","author":"Liu","year":"2011","journal-title":"J. Frankl. Inst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1080\/00207170500329182","article-title":"Stability and persistent disturbance attenuation properties for a class of networked control systems: Switched system approach","volume":"78","author":"Lin","year":"2005","journal-title":"Int. J. Control"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.automatica.2006.07.017","article-title":"Stabilization of linear systems over networks with bounded packet loss","volume":"43","author":"Xiong","year":"2007","journal-title":"Automatica"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1109\/TAC.2009.2017815","article-title":"Finite-level quantized feedback control for linear systems","volume":"54","author":"Fu","year":"2009","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1698","DOI":"10.1109\/TAC.2005.858689","article-title":"The sector bound approach to quantized feedback control","volume":"50","author":"Fu","year":"2005","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1916","DOI":"10.1016\/j.sigpro.2009.12.012","article-title":"Mean-square filtering for uncertain linear stochastic systems","volume":"90","author":"Basin","year":"2010","journal-title":"Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/j.sigpro.2009.06.029","article-title":"Robust filtering for discrete time piecewise impulsive systems","volume":"90","author":"Pan","year":"2010","journal-title":"Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2655","DOI":"10.1109\/TAC.2011.2166729","article-title":"Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts","volume":"56","author":"Yang","year":"2011","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_16","first-page":"3827","article-title":"Fault-tolerant H\u221e filter design of a class of switched systems with sensor failures","volume":"5","author":"Shi","year":"2009","journal-title":"Int. J. Innov. Comput. Inf. Control"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1109\/TFUZZ.2010.2058807","article-title":"Fuzzy filter design for nonlinear systems in finite-frequency domain","volume":"18","author":"Ding","year":"2010","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1080\/00207721.2010.517867","article-title":"Sensor fault estimation and compensation for time-delay switched systems","volume":"43","author":"Du","year":"2012","journal-title":"Int. J. Syst. Sci."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1007\/s12555-010-0207-7","article-title":"Sensor fault estimation and compensation for microsatellite attitude control systems","volume":"8","author":"Gao","year":"2010","journal-title":"Int. J. Control Autom. Syst."},{"key":"ref_20","first-page":"2919","article-title":"Self-repairing control against sensor failures","volume":"4","author":"Takahashi","year":"2008","journal-title":"Int. J. Innov. Comput. Inf. Control"},{"key":"ref_21","first-page":"4149","article-title":"Robust observer based reliable control for satellite attitude control systems with sensor faults","volume":"7","author":"Cheng","year":"2011","journal-title":"Int. J. Innov. Comput. Inf. Control"},{"key":"ref_22","first-page":"1403","article-title":"Reliable guaranteed variance filtering against sensor failure","volume":"51","author":"Liu","year":"2003","journal-title":"Signal Process."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3161","DOI":"10.1109\/TSP.2007.893906","article-title":"Adaptive reliable H\u221e filtering against sensor failures","volume":"55","author":"Yang","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_24","first-page":"737","article-title":"LMI-based reliable H\u221e filtering with sensor failure","volume":"2","author":"Wang","year":"2006","journal-title":"Int. J. Innov. Comput. Inf. Control"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.3724\/SP.J.1004.2009.01347","article-title":"Reliable H\u221e filter design for discrete-time systems with sector-bounded nonlinearities: An LMI optimization","volume":"35","author":"Guo","year":"2009","journal-title":"Acta Autom. Sin."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1109\/TFUZZ.2008.924206","article-title":"H\u221e fuzzy filtering of nionlinear system with intermittent measurements","volume":"17","author":"Gao","year":"2009","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1016\/j.sigpro.2010.07.018","article-title":"Reliable H\u221e filtering for discrete time-delay systems with randomly occured nonlinearities via delay-partitioning method","volume":"91","author":"Liu","year":"2011","journal-title":"Signal Process."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1049\/iet-cta.2008.0530","article-title":"Fault detection for linear uncertain systems with sensor faults","volume":"4","author":"Yang","year":"2010","journal-title":"IET Control Theory Appl."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1109\/9.948466","article-title":"Stabilization of linear systems with limited information","volume":"46","author":"Elia","year":"2001","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"701","DOI":"10.2514\/3.21258","article-title":"Output feedback control under randomly carying distributed delays","volume":"17","author":"Ray","year":"1994","journal-title":"J. Guid. Control Dyn."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1002\/oca.979","article-title":"Fault detection for linear stochastic systems with sensor stuck faults","volume":"33","author":"Li","year":"2012","journal-title":"Optim. Control Appl. Methods"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/12\/6\/7975\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:50:42Z","timestamp":1760219442000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/12\/6\/7975"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,8]]},"references-count":31,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2012,6]]}},"alternative-id":["s120607975"],"URL":"https:\/\/doi.org\/10.3390\/s120607975","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2012,6,8]]}}}