Sensitivities of the prescribed pole spectrum in a closed-loop control system (Q1100156)

An analytical procedure for the sensitivity analysis of the pole spectrum in a feedback control system is presented. The procedure applies to the sensitivity investigations of system closed-loop poles due to variations of controller and/or plant parameters. Suitable defined sensitivities and a computer-aided technique, presented in this paper, allow a rapid evaluation of pole displacements. Investigations concerning the pole spectrum invariance, eigenvector sensitivities, and relation between the sensitivity and system controllability are also considered.