Two-degree-of-freedom feedback loop factorization for systems with parametric uncertainties and time delay in custom Matlab Toolbox

Abstract

The paper presents the Robust Control Toolbox for Time Delay Systems with Parametric Uncertainties for the Matlab system. The toolbox comprises the D-K iteration and the algebraic approach implemented for general 3rd order system with parametric uncertainties in numerator and denominator of plant transfer function and uncertain time delay with factorization of simple feedback controller to the parts in two-degree-of-freedom feedback interconnection. The uncertain time delay is treated using multiplicative uncertainty, the parametric uncertainty is modelled using general interconnection for the systems with parametric uncertainty in numerator and denominator. The toolbox has user-friendly interface empowering intuitive control. © 2022 IEEE.