In　this　paper,　the　time-varying　demand　power　sharing　problem　of　a　grid-connected　AC　microgrid　is　considered.　An　autonomous　leader　system　is　introduced　to　capture　the　time-varying　demand.　We　first　convert　the　power　sharing　problem　into　a　tracking　problem　of　a　leader-follower　multiagent　system　by　introducing　a　so-called　canonical　model.　Then　we　show　the　exponential　stability　of　the　closed-loop　system,　hence　reaching　the　desired　bounded　time-varying　power　sharing.　The　simulation　results　show　that　the　theoretical　part　is　supported　by　practice.　©　2021　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.