A　new　method　for　designing　H-infinity　controllers　is　given.　By　introducing　regular　real　matrices,　this　method　has　no　rank　restrictions　on　matrix　D　of　plants　and　is　suitable　for　both　normal　H-infinity　control　problems　and　singular　H-infinity　control　problems.　The　sufficient　and　necessary　conditions　of　existing　appropriate　controllers　are　given　for　special　problems,　such　as　state-feedback　control　and　dynamical　output　feedback　control　problem.　The　controllers　are　parameterized　by　the　solutions　of　Riccati　(in-)equations.　Two　Riccati　(in)-equations　need　to　be　solved　for　dynamical　output　feedback　control　problems.　The　regular　real　matrices　which　can　be　chosen　appropriately　in　the　designing　process　give　more　choices　in　controller.　The　relationship　between　our　controller　and　the　normal　H-infinity　controller　is　discussed.　The　regular　real　matrices　are　chosen　for　several　cases　often　used.