Algebraic optimal control in RMS ring: A case study

Abstract

In [1], [2] some basic and detailed ideas, respectively, of algebraic controller design in the ring or quasipolynomial meromorphic functions (RMS) with optimal controller tuning via spectral abscissa minimization using some advanced iterative algorithms were presented and introduced. The aim of this paper is to follow with these theoretic contributions in order to examine and verify the usability and applicability of the whole methodology. A case study of controller design, tuning and simulation of a mathematical model of a real-life unstable time-delay system (TDS), namely, the roller skater on the controlled swaying bow is presented. Four introduced iterative optimization algorithms are tested and benchmarked.