Purpose　This　paper　propose　a　grounded-type　DVA　attached　to　a　damped　primary　system,　which　can　effectively　suppress　the　vibration　amplitudes　by　introducing　a　lever,　focusing　on　the　optimal　design　of　the　novel　DVA.　It　can　be　utilized　to　the　simplified　model　of　a　damped　spacecraft　or　stay　cable　of　cable-stayed　bridges.　Methods　The　design　of　DVA　considers　H-infinity,　and　H-2　optimization　criteria,　and　defines　performance　indicators　separately.　In　the　H-infinity,　optimization,　we　couple　generalized　fixed-point　theory　(GFPT)　and　perturbation　method　(PM)　with　particle　swarm　optimization　(PSO)　algorithm　to　minimize　the　maximum　amplitude　amplification　factor　of　primary　system,　so　that　the　amplitudes　at　two　fixed　points　are　close　to　the　same　horizontal　line.　Nevertheless,　in　the　H-2　optimization,　the　GFPT　and　PM　are　combined　with　Newton＇s　method　to　minimize　the　power　input　to　primary　system.　Results　The　numerical　results　indicate　the　consistency　and　effectiveness　of　the　two　optimization　criteria.　Compared　with　other　classical　models,　the　effects　of　different　grounded　stiffness　ratios　on　the　amplitude　frequency　responses,　time　histories,　and　vibration　energies　of　the　primary　system　subjected　to　harmonic　excitation　and　random　excitation,　respectively,　as　well　as　the　vibration　reduction　effect,　are　studied.　Conclusions　Numerical　simulations　display　with　the　positive　grounded　stiffness,　the　proposed　DVA　outperform　the　existing　DVAs　with　same　mass,　damping,　and　stiffness　under　the　harmonic　excitation　and　random　excitation.　The　results　can　provide　theoretical　and　computational　guidance　for　the　optimal　design　of　DVA.