Magnetic　Coupling　Wireless　Power　Transfer　(MCWPT)　technology　has　broad　application　prospects　due　to　its　high　degree　of　freedom　in　energy　exchange　and　unparalleled　security.　In　recent　years,　various　controllers　have　been　added　to　WPT　systems　to　improve　energy　transfer　performance.　Among　them,　the　Dual-Side　Control　(DSC)　approach,　which　employs　Dual-Active　Bridge　(DAB)　converters　with　simultaneous　control　of　the　transmitter　and　receiver,　has　made　great　progress.　The　DAB　structure　has　a　compromise　between　cost　and　complexity,　and　the　DSC　can　bring　a　high　enough　degree　of　control　freedom　to　the　MCWPT　system　to　easily　achieve　efficiency　optimization　and　desired　output　characteristics.　However,　various　DSC　methods　have　different　characteristics.　Therefore,　this　paper　reviews　and　summarizes　the　current　research　status　of　DSC　methods　based　on　the　DAB　converters　in　MCWPT　systems.　Wireless　communication　is　one　of　the　decisive　factors　in　the　design　of　a　control　strategy,　which　is　categorized　in　this　paper　according　to　the　main　approaches　used　in　all　the　papers.　Various　DSC　strategies　are　described　in　detail　and　compared　comprehensively　according　to　the　control　variables　and　control　objectives.　This　review　will　be　highly　beneficial　to　research　entities　and　industry　professionals　as　a　ready　reference　for　the　control　design　in　MCWPT.