In　this　paper,　a　novel　dynamic　model　for　smart　structural　systems　cross-ply　laminated　cantilever　plate　with　smart　material　Macro　fiber　composites　(MFC)　layer　is　presented　by　using　zigzag　function　theory.　The　nonlinear　dynamic　response　and　dynamic　instability　of　the　smart　structural　systems　are　studied　for　the　first　time.　The　plate　is　subjected　to　the　uniformed　static　and　in-plane　harmonic　excitation　conjunction　with　electrically　loaded　under　different　electric　boundary　conditions.　The　partial　layer-wise　theory　which　the　first　shear　deformation　theory　is　expanded　by　introducing　the　zigzag　function　in　the　in-plane　displacement　components　is　adopted.　The　carbon　fiber　reinforced　composite　material　T800/M21　and　macro　fiber　composites　(MFC-d31)　M8528-P3　are　implemented.　By　Lagrangian　equation　and　Chebyshev　polynomial,　the　equations　of　motion　are　derived　for　the　laminated　plate.　The　validation　and　convergence　are　studied　by　comparing　results　with　literatures.　The　dynamic　instability　regions　and　the　critical　buckling　load　characteristics　can　be　obtained　for　different　layer　sequences,　geometric　dimensions　and　also　the　electromechanical　effects　are　considered.　Nonlinear　dynamic　responses　of　the　laminated　plate　are　studied　by　using　numerical　calculation.　It　can　be　seen　that　in　certain　state　the　plate　will　loses　stability　and　the　periodic,　multiple　period　as　well　as　chaotic　motions　of　the　plate　are　found.　(C)　2019　Elsevier　Inc.　All　rights　reserved.