Necessary and Sufficient Conditions on Stabilization of Unstable Second-Order Delay Systems under PD Control

被引：0

作者：

Sun, Li ^{[1
]}

Ma, Dan ^{[1
]}

Chen, Chao ^{[2
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

[2] AECC Shenyang Engine Res Inst, Shenyang 110015, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

关键词：

Unstable second-order system; Time delay; Stabilization; PD control; Nyquist stability criterion; STABILITY; MARGIN;

D O I：

10.1109/CCDC52312.2021.9602443

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Unstable delay processess exist in most of the chemical and biological systems. Stabilization of such a delay plant is of great importance. Despite the great achievements of advanced control technologies, it has domenstrated that proportional-integral-derivative (PID) controller plays high impact in practice. This paper investigates the stabilization of second-order systems with two unstable real poles under PID control. By analyzing the stabilizability via the Nyquist stability criterion, we provide necessary and sufficient conditions on stabilization of unstable second-order plant with a constant delay under PD control. Accordingly, an algorithm on how to determine the feasible parameter region of the stabilizing PD controller is also given. Finally, two examples are proposed to illustrate the main results.

引用

页码：5548 / 5553

页数：6

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