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The state constraints are converted into state saturations by limiting the state in a unit hypercube. An improved average dwell time method is presented to take into account different decay rates of a Lyapunov function related to an active subsystem according to whether the saturations occur or not. Switched state feedback controllers are designed such that the closed-loop switched system subjects to state constraints is asymptotically stable and achieves a weighted L<jats:sub>2<\/jats:sub>-gain. Sufficient conditions for H<jats:sub>\u221e<\/jats:sub> control of the switched system with state constraints are first derived. An application to a longitudinal motion of highly maneuverable aircraft technology vehicle is given to illustrate the applicability and the effectiveness of the proposed method. <\/jats:p>","DOI":"10.1177\/0959651812459605","type":"journal-article","created":{"date-parts":[[2012,9,30]],"date-time":"2012-09-30T09:40:54Z","timestamp":1348998054000},"page":"1301-1310","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["<i>H<\/i><sub>\u221e<\/sub> control for a class of discrete-time switched systems with state constraints"],"prefix":"10.1177","volume":"226","author":[{"given":"Qingyu","family":"Su","sequence":"first","affiliation":[{"name":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, China"}]},{"given":"Jun","family":"Zhao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern 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