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The Rice fading model is applied to describe the fading phenomenon and the coefficients of the model satisfy the independent identical Gaussian distributions. The main objective of this paper is to design a controller such that both the 2-D closed-loop system is exponentially mean-square stable and the prescribed [Formula: see text] performance is guaranteed under the condition of applying the attenuation signals. By utilizing the Lyapunov stability theory and the linear matrix inequalities (LMIs) techniques, sufficient conditions are conducted to guarantee the desired tracking performance. Based on such conditions, the gain matrix of the proposed controller is obtained. Finally, the effectiveness of the proposed control schemes is illustrated with a numerical example and a Darboux equation example.<\/jats:p>","DOI":"10.1177\/0142331220944621","type":"journal-article","created":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T03:17:11Z","timestamp":1601003831000},"page":"267-277","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["H\u221e control for a class of two-dimensional linear systems with fading measurements"],"prefix":"10.1177","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6694-9655","authenticated-orcid":false,"given":"Wei","family":"Yu","sequence":"first","affiliation":[{"name":"School of Electrical Engineering & Automation, Henan Polytechnic University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering & Automation, Henan Polytechnic University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuhui","family":"Bu","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering & Automation, Henan Polytechnic University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiaqi","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering & Automation, Henan Polytechnic University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,9,25]]},"reference":[{"key":"bibr1-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-018-0749-0"},{"key":"bibr2-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217732829"},{"key":"bibr3-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2398887"},{"key":"bibr4-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2289706"},{"key":"bibr5-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2015.08.007"},{"key":"bibr6-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2019.2904320"},{"key":"bibr7-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2017.10.048"},{"key":"bibr8-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2289706"},{"key":"bibr9-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.02.011"},{"key":"bibr10-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217714862"},{"key":"bibr11-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/9.763227"},{"key":"bibr12-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2015.02.024"},{"key":"bibr13-0142331220944621","volume-title":"H\u221e Control and Filtering of Two-Dimensional Systems","author":"Du C","year":"2002"},{"key":"bibr14-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008477527924"},{"key":"bibr15-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(00)00155-2"},{"key":"bibr16-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1177\/0142331213485279"},{"key":"bibr17-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1191\/0142331206tm166oa"},{"key":"bibr18-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2305951"},{"key":"bibr19-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.201"},{"key":"bibr20-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2014.2360438"},{"key":"bibr21-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217719957"},{"key":"bibr22-0142331220944621","doi-asserted-by":"publisher","DOI":"10.1049\/cp:19960684"},{"key":"bibr23-0142331220944621","unstructured":"Karzorek T (1985) Two-Dimensional LInear Systems (Lectures Notes in Control and Information Sciences), 68(1). 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