Dominant spectrum assignment for neutral time delay systems: A study case

Abstract

This paper is aimed at the presentation of a suboptimal numerical algorithm that has been designed for the assignment of a finite dominant part of the infinite eigenvalue spectrum of a strongly stable neutral time delay control system. Once a structure of a conventional finite-dimensional controller for a delayed controlled plant is suggested, desired loci of a sufficient number of feedback poles are selected, according to required dynamical properties. The goal is to bring the dominant spectrum to prescribed one as close as possible. The first step of the procedure insists in the use of the Quasi Continuous Shifting Algorithm (QCSA). Then, the results are enhanced by an optimization procedure for a suitable objective function. The presented methodology is demonstrated by a simulation example of control of an unstable time delay system (TDS) in the MATLAB (R)/Simulink (R) environment. Some possibilities how to adjust the algorithm are given to the reader as well.