This　paper　investigates　observer-based　model　predictive　control　(MPC)　for　switched　systems　with　a　mixed　time/event-triggering　mechanism.　The　problem　of　predictive　control　that　can　achieve　receding　horizon　optimization　is　considered　and　solved　by　minimizing　an　upper　bound　of　the　quadratic　cost　function.　Since　the　system　state　may　not　be　fully　measured　in　practice,　state　observers　are　employed　to　estimate.　A　mixed　mechanism　including　adaptive　event-triggering　and　time-triggering　is　proposed,　which　can　be　switched　determined　by　a　threshold　describing　system　performance　to　better　balance　system　resource　utilization　and　performance　requirements.　Then,　a　closed-loop　switched　system　subject　to　networked-time-delay　is　modeled.　Piecewise　Lyapunov　function　technique　and　average　dwell　time　approach　are　utilized　to　ensure　asymptotical　stability.　Afterwards,　MPC　controller　construction　problem　is　turned　into　a　LMIs　feasibility　problem.　A　new　solving　method　of　sufficient　conditions　for　co-design　of　the　state　observers,　feedback　controllers　and　mixed　triggering　mechanism　is　derived.　Lastly,　simulation　examples　illustrate　the　correctness　and　advantages　of　research　content.　©　2021　Elsevier　Ltd