Stability analysis and control of linear periodic time-delay systems with state-space models based on semi-discretization

2012 ◽  
Author(s):  
Chenhui Shao ◽  
Jie Sheng
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
State Space ◽  
State Space Models ◽  
Delay Systems ◽  
Time Delay Systems ◽  
And Control

scholarly journals Implicit Lyapunov-Krasovski Functionals for Stability Analysis and Control Design of Time-Delay Systems

2015 ◽  
Vol 60 (12) ◽  
pp. 3344-3349 ◽  
Author(s):  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti ◽  
J-P. Richard
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Control Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
And Control

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.

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