Robust control design toolbox for general time delay systems via structured singular value: unstable systems with factorization for two-degree-of-freedom controller

Abstract

The application of the Robust Control Design Toolbox for General Time Delay Systems via Structured Singular Value: Unstable Systems for the Matlab system to the unstable plant with time delay in numerator and denominator is described in this paper. The uncertain time delays are treated using multiplicative and quotient uncertainty. The algebraic approach part implements evolutionary algorithm Differential Migration and pole placement for general 3rd order system with evaluation via structured singular value. Both, D-K iteration and algebraic approach, implements two-degree-of-freedom feedback loop controller with factoriz ation fixing internal instability. Both procedures are compared in simulations for maximum and half time delay and simple and two-degree-of-freedom feedback loop. © 2021 IEEE.