Systems with nonlinear uncertainty structure: Robust stability analysis

Abstract

Systems with parametric uncertainty have known structure but their parameters can vary within given or supposed intervals. This type of uncertainty may appear during modelling and description of real systems as a consequence of inaccurate measurement, identification, due to ambient conditions, etc. This contribution is focused on description of systems with nonlinear parametric uncertainty structure and on demonstration of possible graphical robust stability testing for this class of systems with special emphasis on utilization of The Polynomial Toolbox for Matlab.