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First, the output feedback\u2013based robust control invariant set (RCIS) is defined, and a calculation method to find all output feedback\u2013based RCISs of a given set is derived via the truth matrix technique. Second, a class of complete family of robust reachable sets (CFRRSs) is developed; the solvability of robust output tracking problem by output feedback control is verified. Furthermore, a constructive algorithm of all feasible output feedback controllers is presented. 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