Internal model control of a paper machine headbox time-delay system with uncertain parameters in discrete-time

2018 ◽  
Author(s):  
Marwa Hannachi ◽  
Ikbel Bencheikh Ahmed ◽  
Dhaou Soudani
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Internal Model ◽  
Delay System ◽  
Internal Model Control ◽  
Paper Machine ◽  
Uncertain Parameters ◽  
Time Delay System ◽  
Model Control ◽  
Paper Machine Headbox

scholarly journals Internal Model Control for Rank-Deficient System with Time Delays Based on Damped Pseudo-Inverse

Processes ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 264
Author(s):  
Meiying Jiang ◽  
Beiyan Jiang ◽  
Qi Wang
Keyword(s):  
Time Delay ◽  
Internal Model ◽  
Control Method ◽  
Dynamic Performance ◽  
Delay System ◽  
Internal Model Control ◽  
Damping Factor ◽  
Model Control ◽  
Value Decomposition ◽  
Pseudo Inverse

It is a challenge to design a satisfactory controller for a complex multivariable industrial system with minimal offsetting and a slow response. An internal model control method is proposed for rank-deficient systems with a time delay based on a damped pseudo-inverse. An internal model control was designed to obtain the desired dynamic characteristics of the system by transforming the time-delay system into a system without a time delay, following the Pade approximation approach. By introducing a damping factor, the internal model controller was designed based on a damped pseudo-inverse, since the inverse matrix of the rank-deficient system does not exist. Furthermore, a singular value decomposition was used to analyze the steady-state performance of the system. The selection of the damping factor was also presented, and a μ analysis was made to evaluate the stability of the system. To demonstrate the effectiveness of the proposed method, a crude distillation process with five inputs and four outputs was considered as an example. The simulation results illustrate that not only can the proposed strategy guarantee the system’s stability, but it also has a relatively good dynamic performance.

Robust and Effective PID Controller Identification for Delay Dominant Systems

2014 ◽  
Vol 625 ◽  
pp. 478-481
Author(s):  
Lemma Dendena Tufa ◽  
Marappagounder Ramasamy
Keyword(s):  
Time Delay ◽  
Time Constant ◽  
Pid Controller ◽  
Internal Model ◽  
Control Structure ◽  
Internal Model Control ◽  
Controller Tuning ◽  
Model Control ◽  
Pid Controller Tuning ◽  
Improved Performance

A novel PID controller identification method based on internal model control structure is proposed. The proposed method avoids the necessity of approximating the time delay for designing the PID controller. It results in a robust and effective PID controller tuning. The method is effective for both time constant and time delay dominant systems, with much improved performance for the latter case.

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