In　the　semi-physical　simulation　of　aeroengines,　using　the　pneumatic　pressure　servo　con-trol　technology　to　provide　realistic　pneumatic　excitation　to　the　sensors　and　electronic　controller　can　improve　the　confidence　of　the　simulation　and　reduce　the　test　cost　and　risk.　However,　the　existing　methods　could　not　satisfy　the　precise　simulation　of　large-amplitude　and　high-frequency　pulsating　pressure　during　aeroengine　surge.　In　this　paper,　a　pneumatic　pressure　control　system　with　asymmet-ric　groups　of　the　High-Speed　on-off　Valve　(HSV)　is　designed,　and　an　Improved　Nonlinear　Model　Predictive　Control　(INMPC)　method　is　proposed.　First,　the　volumetric　flow　characteristics　of　HSV　are　tested　and　analyzed　with　Pulse　Width　Modulation　(PWM)　signal　input.　Then,　a　simplified　HSV　model　with　the　volume　flow　characteristic　correction　is　developed.　Based　on　these,　an　integrated　model　for　the　whole　system　is　further　established　and　used　as　the　prediction　model　in　INMPC.　To　improve　the　computational　speed　of　the　rolling　optimization　process,　the　mapping　scheme　from　control　signal　to　PWM　duty　cycle　of　HSVs　and　the　objective　function　with　exterior　penalty　function　are　designed.　Finally,　the　random　step,　sinusoidal　and　real　engine　surge　data　are　set　as　the　reference　pressure　in　multiple　comparative　experiments　to　verify　the　effectiveness　of　the　pressure　tracking　sys-tem.(c)　2022　Production　and　hosting　by　Elsevier　Ltd.　on　behalf　of　Chinese　Society　of　Aeronautics　and　Astronautics.　This　is　an　open　access　article　under　the　CC　BY-NC-ND　license　(http://creativecommons.org/　licenses/by-nc-nd/4.0/).