Stabilization of Unstable Second-Order Delay Plants under PID Control: A Nyquist Curve Analysis

被引：1

作者：

Sun, Li ^{[1
]}

Ma, Dan ^{[1
,2
]}

机构：

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

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

来源：

ACTUATORS | 2021年 / 10卷 / 09期

基金：

中国国家自然科学基金;

关键词：

second-order plants; time delay; stabilization; PID control; Nyquist stability criterion; DOMINANT POLE-PLACEMENT; STABILITY; SYSTEMS; DESIGN; MARGIN; BOUNDS; GAIN;

D O I：

10.3390/act10090227

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Time delays arise in various components of control systems, including actuators, sensors, control algorithms, and communication links. If not properly taken into consideration, time delays will degrade the closed-loop performance and may even result in instability. This paper studies the stabilization problem of the second-order delay plants with two unstable real poles. Stabilization conditions under PD and PID control are derived using the Nyquist stability criterion. Algorithms for computing feasible PD and PID parameter regions are proposed. In some special cases, the maximal range of delay for stabilization under PD control is also given.

引用

页数：17

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