Multi-domain modeling based robust design for nonlinear manufacture system

• It overcomes the shortcoming of the traditional sensitivity-based robust method.
• Nonlinear influence of parameter with a large variation domain is considered.
• A multiple-model approach is developed to model a nonlinear relation.
• A robust design is proposed to reduce the influence of large parameter variation.
• Two practical manufacture cases show the effectiveness of the proposed method.

In this paper, a robust design approach is proposed to design a strongly nonlinear system to be robust against large parameter variation. Through the idea of linearization, the complex nonlinear system can always be decomposed into a series of linear systems at the small sub-domains. Modeling at each sub-domain will be much easier than modeling of the original system. Thus, a multi-domain modeling method is first developed to model the nonlinear system. This developed model also has a linear structure, which is easy to handle by the well-developed design theories. A robust design method is then developed to minimize the influence of parameter variation on the performance. Finally, two practical examples demonstrate and confirm the effectiveness of the proposed method in comparison with the common design methods.