Stability Analysis of a Nonlinear PID Controller

2021 ◽  
Vol 19 (10) ◽  
pp. 3400-3408
Author(s):  
Yung-Deug Son ◽  
Sang-Do Bin ◽  
Gang-Gyoo Jin
Keyword(s):  
Stability Analysis ◽  
Pid Controller ◽  
Nonlinear Pid Controller

Stabilizing Gain Regions of PID Controller for Time Delay Systems

2013 ◽  
Vol 313-314 ◽  
pp. 432-437
Author(s):  
Fu Min Peng ◽  
Bin Fang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Pid Controller ◽  
Delay System ◽  
Nyquist Plot ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Frequency Range ◽  
Time Delay System ◽  
Key Points

Based on the inverse Nyquist plot, this paper proposes a method to determine stabilizing gain regions of PID controller for time delay systems. According to the frequency characteristic of the inverse Nyquist plot, it is confirmed that the frequency range is used for stability analysis, and the abscissas of two kind key points are obtained in this range. PID gain is divided into several regions by abscissas of key points. Using an inference and two theorems presented in the paper, the stabilizing PID gain regions are determined by the number of intersections of the inverse Nyquist plot and the vertical line in the frequency range. This method is simple and convenient. It can solve the problem of getting the stabilizing gain regions of PID controller for time delay system.

Firefly Algorithm Based Optimized PID Controller for Stability Analysis of DC-DC SEPIC Converter

2021 ◽  
Author(s):  
Md. Rafid Kaysar Shagor ◽  
Al Jaber Mahmud ◽  
Mirza Muntasir Nishat ◽  
Fahim Faisal ◽  
Mehedi Hasan Mithun ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Pid Controller ◽  
Firefly Algorithm

A Nonlinear Feedback Control Scheme for Transient Performance Enhancement in Hard Disk Drives

2014 ◽  
Author(s):  
Minghui Zheng ◽  
Xu Chen ◽  
Masayoshi Tomizuka
Keyword(s):  
Steady State ◽  
Pid Controller ◽  
Control Algorithm ◽  
Hard Disk Drives ◽  
Hard Disk ◽  
Disk Drives ◽  
Transient Performance ◽  
Nonlinear Feedback ◽  
Nonlinear Pid Controller ◽  
Steady State Performance

This paper aims to develop a nonlinear control algorithm to break the limitations of linear PID controls and improve the transient performance during the short-span track seeking / settling in hard disk drives (HDDs). It is designed based on a baseline PID controller which is well-designed to obtain good track following performance. The control algorithm is a combination of a nonlinear PID controller and a nonlinear turbo controller (NTC): when the position error signal (PES) is large, NTC assists the nonlinear PID controller to rapidly reduce the error; when PES is small, NTC is turned off to avoid possible chattering and ensure good steady state performance. As PES becomes even smaller, the nonlinear PID controller is reduced to the baseline PID controller to keep good steady state performance.

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