PID Stabilization of Linear Neutral Time-Delay Systems in a Numerical Approach

Hassan Farokhi Moghadam, Nastaran Vasegh, Seyed Zeinolabedin Moussavi

Faculty of Electrical & Computer Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran.

DOI: 10.4236/ica.2012.34036                

Abstract

In this paper, the stabilization of neutral time-delay systems is investigated. An efficient numerical approach is presented in an algorithm to establish results so that stability of such systems is achieved and stabilizing PID parameters are determined directly. It is based on determining the rightmost characteristic roots and Nyquist plot. The Newton-Raphson’s iterative method based on Lambert W function is used for the calculation of these stabilizing roots directly from the closed-loop characteristic equation of the neutral time-delay system and then stability is checked by Nyquist plot and step response of closed-loop system. Two numerical examples are included to illustrate the effectiveness of the proposed approach.

Keywords

Neutral Time-Delay Systems; PID Controller; Stability; Iterative Method; Rightmost Characteristic Root; Nyquist Plot

Conflicts of Interest

The authors declare no conflicts of interest.

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