Robust Eigenvalue Design Under Parameter Variation - A Nonlinear Approach

In this chapter, a design method is proposed to achieve stability and robustness of a nonlinear dynamic system under parameter variations. A sector-nonlinearity (SN) method is first employed to model a nonlinear system. A stability design is then developed to ensure the nonlinear system to be stable in a desirable domain under variations. For a nonlinear dynamic system, the stability design needs to select the most appropriate design parameter to guarantee its asymptotic stability. Furthermore, dynamic robustness will be achieved by minimizing the sensitivity of the system eigenvalues to parameter variations. This design optimization will be figured out by a newly constructed particle swam optimization (PSO)-based two-loop optimization method. A practical example is used to demonstrate the effectiveness of the proposed method.