Robust Eigenvalue Design Under Parameter Variation - A Linearization Approach

This chapter presents two robust design methods to integrate stability design and robust eigenvalue design for the dynamic process with weak nonlinearity. One is a linearization-based robust eigenvalue design proposed for small parameter variations. First, the stability theory is applied to obtain a set of design variables and bounds of their variations. Then, the robust eigenvalue design is developed to make the dynamic response less sensitive to variations. Another method is a multi-model-based robust design proposed for large uncontrollable variations. The chapter provides several examples to demonstrate and confirm the effectiveness of the proposed methods.