Robust Parameter Design (RPD) has been widely applied for improving quality and reli-ability of products. One of the key drawbacks of applying RPD using Taguchi method is that the stable factors may not be independent of the adjustment factors, resulting in unsatisfactory design. Moreover, the Taguchi method cannot guarantee global optimality since the levels set in the exper-iment are usually discrete to ensure orthogonal design. In this paper, robust solutions of the stable factors are obtained via a nonlinear model based on polynomial fitting; while the adjustment factors are obtained via interactions analysis so that they are independent of the stable factors. In partic-ular, the values of the adjustment factors are determined by output offset compensation so as to achieve robustness of the design scheme. An example on the design of an aeronautical electrical apparatus is presented to illustrate the procedure. The results show that the proposed method can take full advantage of the nonlinearity in the response and achieve the desired outcome.