Under the umbrella of smart grids, voltage-source converter (VSC) based hybrid ac/dc multi-terminal grids are gaining high momentum under the smart grid paradigm to integrate renewable and clean energy resources either in the transmission or distribution systems. For VSCs connected with LCL filter, this paper presents a robust multi-objective controller for the voltage-source converter (VSC) based dc-voltage power-port in hybrid ac/dc networks while the instantaneous power of all components of filter is taken into account. The proposed controller ensures excellent tracking performance, robust disturbance rejection, and robust stability against operating point and parameter variation with a simple fixed parameter low-order controller. A theoretical analysis simulation results are presented to show the effectiveness of the proposed control structure.