Advanced IMC-PID controller design for the disturbance rejection of first order plus time delay processes

Author(s):  
Truong Nguyen Luan Vu ◽  
Le Hieu Giang ◽  
Le Linh ◽  
Vo Lam Chuong

This paper describes the design of ProportionalIntegral-Derivative (PID) controller for two variable processes where the two variables need to control. Design of controllers for such a process is too difficult than single variable processes because of interrelations between the two variables present in the system. Hence, the design approach should include the interrelations of the variables to achieve better performance of the processes. In addition to this, the time delay of the processes is also considered and Smith Predictor (SP) configuration is used to reduce the delay in the processes. For the resultant reduced time delay processes, an IMC approach is used to design PID controller. The proposed control system improves both the servo (set point tracking) and regulatory (disturbance rejection) performance of the system. The proposed configuration is also validated using a case study. The simulation results are presented and compared with the other similar approaches to show the efficacy of the proposed method


2019 ◽  
Vol 8 (2S3) ◽  
pp. 1060-1063

This paper describes the design of Proportional-Integral-Derivative (PID) controller for two variable processes where the two variables need to control. Design of controllers for such a process is too difficult than single variable processes because of interrelations between the two variables present in the system. Hence, the design approach should include the interrelations of the variables to achieve better performance of the processes. In addition to this, the time delay of the processes is also considered and Smith Predictor (SP) configuration is used to reduce the delay in the processes. For the resultant reduced time delay processes, an IMC approach is used to design PID controller. The proposed control system improves both the servo (set point tracking) and regulatory (disturbance rejection) performance of the system. The proposed configuration is also validated using a case study. The simulation results are presented and compared with the other similar approaches to show the efficacy of the proposed method.


2016 ◽  
Vol 40 (3) ◽  
pp. 940-950 ◽  
Author(s):  
Noha Medhat Darwish

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.


Permanent-magnet (PM) motors are employed in numerous industrial control applications for their high efficiency, simple mechanism and low cost. In most of the applications, either the plant model is inaccurately defined or the plant parameters are prone to variations over period of time. Also, in most of the applications, have a requirement of good tracking as well as good disturbance rejection, two competing requirements. The controller should cater to the parameter variations as well as provide robust performance against external disturbances and hence requires a robust control approach towards designing a controller. A classical PID controller, which lacks robustness requirements is augmented by H∞ optimization based gain tuning to meet the robustness requirements. This paper discusses a PID controller design using H∞ optimization approach. Different performance goals for tracking and disturbance rejection are defined and PID gains are tuned to meet the goals in H∞ sense. A commercial Maxon RE35 motor is selected for modeling and simulation


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