scholarly journals Interactive Tuning Tool of Proportional-Integral Controllers for First Order Plus Time Delay Processes

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 569 ◽  
Author(s):  
Mario Ruz ◽  
Juan Garrido ◽  
Francisco Vazquez ◽  
Fernando Morilla
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Industrial Process ◽  
Implementation Process ◽  
Open Loop ◽  
Practical Case ◽  
Control Loops ◽  
Proportional Integral ◽  
First Order ◽  
Tuning Rules

Engineering education and, particularly, control engineering, has shown growth in research and development activities during last years. Currently, proportional–integral (PI) and proportional–integral–derivative (PID) controllers are the most commonly used in industrial process applications. Nonetheless, it is reported that many of them are badly tuned. From an educational perspective, it is crucial for the student to understand the importance of tuning a control loop correctly. This paper presents an interactive tool focused on the study of PI controllers. The tool provides a set of tuning rules for both open-loop stable and unstable first order plus time delay processes. The different tuning rules can be compared interactively by the user, allowing a critical analysis of basic concepts about stability, robustness, and performance in PI control loops. In addition to educational purposes, the tool has been developed, taking into account practical considerations, such as simulation with a controller discrete implementation, process input saturations, and windup effect. We evaluated students’ achievement in the final examination in the Automatic Control course of the Electronics Engineering degree. Students showed significant improvement in their understanding of PI controller design. A survey and a practical case study were performed to evaluate the effectiveness of the proposed tool.

Actuator Rate Limit Effects on Proportional-Integral Controller for First-Order Plus Time-Delay Systems

2019 ◽  
Author(s):  
Zhenlong Wu ◽  
Jie Yuan ◽  
Donghai Li ◽  
Yali Xue ◽  
YangQuan Chen
Keyword(s):  
Time Delay ◽  
Industrial Applications ◽  
Delay Systems ◽  
Proportional Integral ◽  
First Order ◽  
Proportional Integral Controller ◽  
The Stability ◽  
Definition Of ◽  
Rate Limit ◽  
Tuning Rules

Abstract Actuator rate limit deteriorates control performance with amplitude attenuation and phase delay, and may lead to system instability in process control. In this paper, great challenges for first-order plus time delay (FOPTD) systems are concerned. Based on the preliminary knowledge of the definition of rate limiter, the concept of closed-loop onset frequency with rate limiter and classic proportional-integral (PI) tuning rules, the rate limit effects on PI controller are analyzed by simulations. The results show that the rate limiter has significant influence on the stability regions of PI parameters which can be reduced greatly. Besides, PI tuning rules with the same robustness constraint can be obviously effected where Skogestad internal model (SIMC) tuning rule is more robust to the rate limit variation than that of maximize the integral gain (Åström) and robustness constrained optimization (DRO) tuning rule. These results can offer a guideline to tune PI parameters when actuators have non-ignorable rate limit for industrial applications.

scholarly journals PI Controller Design for Time Delay Systems Using an Extension of the Hermite-Biehler Theorem

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sami Elmadssia ◽  
Karim Saadaoui ◽  
Mohamed Benrejeb
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Pi Controller ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral ◽  
First Order ◽  
Pi Controllers ◽  
Interval Type

We consider stabilizing first-order systems with time delay. The set of all stabilizing proportional-integral PI controllers are determined using an extension of the Hermite-Biehler theorem. The time delay is approximated by a second-order Padé approximation. For uncertain plants, with interval type uncertainty, robust stabilizing PI controllers are determined.

IMC-PID Design with Time Delay Compensation for Multivariable System Based on V-Norm Decoupling

2011 ◽  
Vol 128-129 ◽  
pp. 150-153
Author(s):  
Li Ting Cao ◽  
Qi Bing Jin ◽  
Wei Su ◽  
Tong Shun Fan ◽  
Guan Hua Yu
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Stable Process ◽  
Industrial Process ◽  
Optimization Method ◽  
Delay Compensation ◽  
Filter Parameter ◽  
Wide Range ◽  
Time Delay Compensation ◽  
Industry Area

An IMC-PID based on V-norm decoupling for multivariable stable process with time delay was proposed in this paper. Previous multivariable IMC is usually designed after the decoupling of the process, however the industrial process modeling is difficult to be precise, so the controller design is often not ideal after decoupling. The method in this paper designs both the decoupling and controller at the same time, the IMC is not only a controller, but also a decoupling compensation. A filter parameter optimization method based on a new performance function was adopted. The controller can be realized by time delay compensation when there is an advance part. The IMC-PID designed by this method has strong robustness when the model is mismatch and excellent performance both in decoupling and control. The simulation results show that the method is very effective and has a wide range of application in actual industry area.

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