Dynamic　periodic　event-triggered　control　(DPETC)　is　a　type　of　event-triggered　control　(ETC)　that　inherits　the　excellent　properties　of　ETC　to　avoid　unnecessary　communication　and　further　extends　the　inter-event　intervals　by　introducing　a　dynamic　variable.　Despite　their　beneficiary　effects,　matters　like　communication　scheduling　have　been　proposed　due　to　the　aperiodic　execution　manner.　In　this　work,　we　focus　on　constructing　an　abstracted　system,　named　traffic　model.　This　model　can　capture　the　sampling　behaviors　generated　by　a　DPETC　system　and　is　equivalent　to　a　timed　automaton.　During　the　construction,　we　first　confine　the　infinite　state　space　to　a　finite　number　of　regions.　Then,　the　inter-event　interval　related　to　each　region　is　calculated　by　the　LMI　technique.　Finally,　the　reachability　analysis　is　used　to　locate　state　transitions　between　different　regions.　Numerical　example　demonstrates　the　validity　of　the　proposed　construction　approach.　IEEE