A geometric description of the set of stabilizing PID controllers.

Autor: Gu, Keqin, Ma, Qian, Zhou, Huiqing, Mahzoon, Salma, Yang, Xingzi
Předmět:
Zdroj: International Journal of Robust & Nonlinear Control; Dec2022, Vol. 32 Issue 18, p9475-9496, 22p
Abstrakt: This article developed a new method to described the set of stabilizing PID control. The method is based on D‐parameterization with natural description of the set. It was found that the stability crossing surface is a ruled surface that is completely determined by a curve known as discriminant. The discriminant is divided into sectors at the cusps. Corresponding to the sectors, the stability crossing surface is divided into positive and negative patches. A systematic study is conducted to identify the regions with a fixed number of right half‐plane characteristic roots. The crossing directions of characteristic roots for positive patches and negative patches are also studied. As a result, a systematic method is developed to identify the regions of PID parameter such that the system is stabilized. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index