The　concept　of　Metaverse　is　widely　concerned　by　scholars　from　all　walks　of　life.　Firstly,　the　relevant　concepts　of　Metaverse　are　analyzed　and　introduced,　and　it　is　distinguished　from　similar　concepts　such　as　virtual　world　and　digital　twins.　The　development　process　of　Metaverse　and　the　necessary　technologies　for　its　establishment　are　combed　and　expounded.　Assumptions　for　the　construction　levels　of　Metaverse　in　the　future　are　put　forward,　and　various　technical　support　for　each　construction　level　is　provided.　Then,　from　the　perspective　of　control　science　and　engineering　subject,　the　development　process　of　control　and　decision　theory　is　elaborated,　and　the　development　and　application　of　control　and　decision　theory　in　the　context　of　Metaverse,　combined　with　cloud　computing,　artificial　intelligence　2.0,　industrial　Metaverse,　blockchain　and　other　technologies　are　introduced.　Finally,　the　key　challenges　and　openness　in　the　theory　of　control　and　decision-making　as　well　as　the　construction　of　Metaverse　are　discussed　and　predicted,　providing　inspiration　and　reference　for　future　research　and　industrial　application　related　to　the　Metaverse.　©　2023　Journal　of　Pattern　Recognition　and　Artificial　Intelligence.　All　rights　reserved.