1차 시간 지연 시스템에서 고유값 배치에 따른 시스템 파라미터 결정에 관한 연구

Abstract

This study proposes an analytical stability region for a first-order time delay system using the Lambert W function and a geometric method. Delay-dependent and-independent stability regions were obtained by defining two functions, such that the characteristic equation is the difference of these functions. The desired rightmost real eigenvalue was assigned. Moreover, the corresponding system parameters were determined. Oscillation or unstable systems can be exponentially stabilized by static state feedback, in which the feedback gain sets are analytically determined using the results of the stability region. The effectiveness of the proposed approach was demonstrated through numerical examples. ? ICROS 2020.