This　work　proposes　a　robust　predictive　control　strategy　against　inductive　parametric　uncertainties　through　model　predictive　control　with　integral　action　in　islanded　Direct　current　microgrid　systems　(DCMS).　DCMS　consist　of　numbers　of　parallel　power　converters　to　share　load　currents　through　the　inductance　of　DC/DC　converters.　However,　the　inductance　parameters　are　dependent　on　the　physical　implementation　of　the　system,　and　their　values　may　not　match　their　nameplate.　Such　disparities　may　lead　to　unequal　responses　of　the　system,　which　can　potentially　reduce　the　performance　of　the　DCMS　operation.　First,　the　system　model　is　generated　based　on　the　nominal　values　of　the　system.　The　model　is　transformed　into　parametric　unmatch　uncertainty　to　form　a　robust　control　problem,　which　is　then　translated　into　a　model　predictive　control　problem.　The　inductance　variations　are　stabilized　with　the　uncertainty　dynamic　algebraic　Riccati　equation　through　control　law.　The　close-loop　was　generated　with　integral　action　to　eliminate　an　error　on　DC-grid　voltage　for　a　wide　range　of　parameter　variations.　The　proposed　approach　not　only　eliminates　an　error　on　DC-grid　voltage　also　ensures　equal　sharing　load.　Fast　response　and　better　performance　were　observed　in　the　simulation　results.　©　2021　IEEE.