The paper considers the problem of optimal robust design in the presence of input parameters with epistemic uncertainty, which is modeled as uncertain variables in the theory of uncertainty Liu. The models of optimal robust design for solving these problems are proposed. The problem of optimal robust design of the pro-pulsion parameters for supersonic maneuverable aircraft is solved using two models of optimal robust design in the presence of input parameters with epis-temic uncertainty. The computational efficiency of the proposed models is shown.