To optimize the energy output of wave energy converters (WECs) in complex ocean environments, a novel multi-objective robust-stochastic strategy that integrates uncertainty modeling to address the dynamics of ocean waves is presented. We introduce the dynamic order adaptive Runge-Kutta (DOARK) method for more efficient solution of kinetic equations. The optimization strategy seeks to maximize power output while minimizing systematic damage. First, we develop kinetic formulations for the proposed WEC and incorporate stochastic terms for a more accurate description in volatile conditions. The control process is optimized using a multi-objective approach with a cost function that balances output power and damage, solved via the ε-constraint method. An adaptive algorithm is applied to adjust step size, enhancing the Runge-Kutta method. In our approach, step size is iterated based on damping coefficient ranges. Simulation results demonstrate that the proposed strategy improves output power by 12.34% and reduces systematic damage by 15.65%, compared with traditional methods, which demonstrates the advantage of the proposed method.