Algebraic approach using structured singular value: Application to a nonlinear plant

Abstract

The contribution describes an application of the algebraic μ-synthesis methodology to the control of a real plant with a nonlinear characteristic. The controller design is considered as a problem of minimization of the peak of the structured singular value denoted μ. The algebraic approach consists of the pole placement principle based on the polynomial Diophantine equations and Differential Migration procedure used for optimization. The results are compared with other controllers designed via the D-K iteration, synthesis in the ring of proper and stable functions and the Naslin method. © ECMS.