Optimal Controller Tuning Technique for a First-Order Process with Time Delay

Clinton Enwerem; Ihechiluru Okoro

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arXiv · 2210.08187

Optimal Controller Tuning Technique for a First-Order Process with Time Delay

Clinton Enwerem·Ihechiluru Okoro

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Abstract

We present a controller tuning strategy for first-order plus time delay (FOPTD) processes, where the time delay in the model is approximated using the Padé function. Using Routh-Hurwitz stability analysis, we derive the gain that gives rise to desirable PID controller settings. The resulting PID controller, now correctly tuned, produces satisfactory closed-loop behavior and stabilizes the first-order plant. Our proposed technique eliminates the dead-time component in the model and results in a minimum-phase system with all of its poles and zeros in the left-half $s$-plane. To demonstrate the effectiveness of our approach, we present control simulation results from an in-depth performance comparison between our technique and other established model-based strategies used for the control of time-delayed systems. These results prove that, for the FOPTD model, Padé approximation eliminates the undesirable effects of the time delay and promises a faster tracking performance superior to conventional model-based controllers.

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BibTeX RIS

Clinton Enwerem, Ihechiluru Okoro. 2023-04-08. Optimal Controller Tuning Technique for a First-Order Process with Time Delay. https://arxiv.org/abs/2210.08187

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