Wireless　sensor　networks　are　a　significant　subfield　of　distributed　systems,　and　a　large　number　of　their　applications　require　time　synchronization.　Sensor　nodes　are　powered　by　batteries.　In　order　to　reduce　the　interference　of　the　peripheral　environment　on　the　node　as　much　as　possible,　the　size　of　the　node　is　relatively　small　and　the　circuit　design,　storage,　and　calculation　are　relatively　simple.　Therefore,　wireless　sensor　network　nodes　have　limited　energy,　low　computing　power,　and　low　communication　capacity.　In　addition,　the　clock　of　the　wireless　sensor　network　node　is　usually　realized　through　the　local　crystal　oscillator　and　CPU　interrupt　mechanism,　which　is　obviously　affected　by　manufacturing　errors,　temperature　changes,　and　CPU　processing　delays.　Therefore,　this　research　reviews　and　analyzes　the　development　and　current　situation　of　time　synchronization　and　puts　forward　the　challenges　faced　by　time　synchronization-related　research　institutes.　From　the　perspective　of　dynamic　cybernetics,　the　feasibility　of　optimization　based　on　Kalman　filtering　is　analyzed.　Finally,　the　article　describes　the　system　modeling　process,　including　the　clock　model　and　the　state　equation　and　observation　equation　of　Kalman　filter　and　uses　Matlab　platform　to　carry　out　experimental　simulation　and　analysis　on　the　precise　time　synchronization　protocol　based　on　Kalman　filter　in　the　wireless　sensor　network　environment.　©　2022　Xinggang　Xuan　et　al.