2022/10/15 by Clinton Enwerem, Enwerem, Clinton, Ihechiluru Okoro +1
Engineering · #Advanced Control Systems Optimization #Extremum Seeking Control Systems #FOS: Electrical engineering #FOS: Mathematics #Iterative Learning Control Systems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2210.08187
openalex publication_date 2022/10/15 · openalex created_date 2022/10/20 · openalex updated_date 2026/07/28
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.