This work proposes a controller design that integrates an Equivalent Consumption Minimization Strategy framework and a quasi-LPV framework. The proposed scheme allows exploiting the characteristics of both frameworks. Also, a proof of the input-state-stability (ISS) of the closed-loop is presented, expressed as linearmatrix-inequality conditions. Simulation results are provided to illustrate the applicability of our approach in a hybrid powertrain setting as encountered in the maritime industry.