Maximum sensitivity based fractional IMC–PID controller design for non-integer order system with time delay

2015 ◽  
Vol 31 ◽  
pp. 17-29 ◽  
Author(s):  
Dazi Li ◽  
Lang Liu ◽  
Qibing Jin ◽  
Kotaro Hirasawa
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Controller Design ◽  
Maximum Sensitivity ◽  
Order System ◽  
Integer Order ◽  
Pid Controller Design ◽  
System With Time Delay

PID controller design in the frequency domain for time-delay systems using direct method

2016 ◽  
Vol 40 (3) ◽  
pp. 940-950 ◽  
Author(s):  
Noha Medhat Darwish
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Controller Design ◽  
Reference Model ◽  
Direct Method ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Term ◽  
Linear Algebraic Equations ◽  
Pid Controller Design

In this paper, a proportional–integral–derivative (PID) controller design method for stable and integrating time-delay systems with and without non-minimum phase zero (inverse response) using the direct method is proposed. The PID controller gains are obtained by matching the frequency response of the closed-loop control system to that of the reference model with a minimum weighted integral squared absolute error in the bandwidth region. The reference model is chosen to satisfy the desired maximum sensitivity Ms. As a result, three linear algebraic equations in three unknowns are obtained and the solution of them gives the PID controller gains. The proposed method can be applied to low- and high-order systems, and the Pade approximation of the time-delay term e−Ls is not required.

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