Abstract:Modular Multilevel Converter（MMC）has attracted considerable attention in highvoltage direct current technology. For the multi-variable， nonlinear， strong coupling characteristics of MMC，the traditional vector control method is prone to instability of the control system with the external uncertainty disturbance and the internal parameter perturbation. The safe and stable operation of MMC is affected. To solve this problem，a bilinear Lagrange equation is established in the abc stationary coordinate system from the perspective of energy dissipation. The synchronous linear transformation of state variables and control variables is realized. A simple passivity-based controller is designed and the consensus control errors of adjacent phases are embed into the output of the system. The desired trajectories can be tracked synchronously and the global asymptotic stability can be achieved. It is shown by the simulation results that the output currents are symmetry and the voltages of the bridge arm are stable under the condition of the active power mutation and the inductance parameter perturbation of the bridge arm. The proposed method has the characteristics of fast response，high stability and strong robustness.