Recently,　increasing　researches　have　focused　on　the　intensified　heat-integrated　triple-column　pressure-swing　extractive　distillation　(HITPED)　owing　to　its　superiority　in　economic　and　environmental　benefits　than　the　conventional　extractive　distillation.　However,　the　dynamic　controllability　investigation　for　HITPED　was　lacking,　resulting　in　the　difficulties　for　industrial　application.　Therefore,　separating　the　ternary　azeotropic　mixture　tetrahydrofuran　(THF)-methanol-water　by　HITPED　is　taken　as　an　example　to　fully　investigate　the　dynamic　controllability.　On　the　basis　of　the　open-loop　analysis　a　basic　control　structure　CS1　is　firstly　proposed.　To　deal　with　the　20%　disturbance　in　feed　composition　more　effectively,　the　CS2　with　a　low　selector　and　composition　controllers　is　then　developed.　Nevertheless,　composition　controllers　are　less　applied　in　chemical　industry　than　temperature　controllers　owing　to　the　long　delay　and　high　cost.　As　such,　two　different　control　structures　(CS3　and　CS4)　without　any　composition　controllers　are　then　put　forward.　Integral　absolute　error　(IAE)　is　applied　to　compare　the　dynamic　performance.　Under　the　20%　disturbances　of　the　feed　flowrate　and　composition,　the　robust　control　strategy　CS4　with　temperature　controllers　and　a　high　selector　exhibits　the　gratifying　dynamic　performance.　The　application　of　the　selector　further　enlarges　the　dynamic　researches　in　the　distillation　process.