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The ease implementation, the simple mechanism and robustness of PID controllers has attracted the use of these controllers in the process industries. There are numerous tuning techniques are available for tuning of PID controllers. In this research work, a second-order plus dead time (SOPDT) model is developed and tunning of PID controller is done by using the root locus method. In this method poles are allocated in such a way that model poles are cancelled out by controller zeros, but exact cancellation is not possible. Since the controller cancels out the model poles which is nearest to its exact value, hence an approximation is done to cancel the model poles and to determine damping ratio and the time constant. In this Technique, the higher order system (oscillatory and non-oscillatory) with delayed input is reduced into a second order system and then tuning of the PID controller is done by using the root Locus method, and also the damping ratio and the time constant is calculated to improve the speed of the response. Here in this work, the Routh-Hurwitz criterion is also used to find the value and range of the dc gain k to design a stable system. Here a quantitative and comparative analysis of the original higher order systems and the SOPDT systems (modelled by Root-Locus technique), is done to compare the various parameters like, settling time, rise time, transient time, peak overshoot, peak time etc. and then the unit step response for both the systems has been plotted and analyzed.
Keywords:
SOPDT, PID controller, Ziegler Nichols, Root Locus technique, settling time, tunning, rise time, peak overshoot
Cite Article:
"Tuning of PID Controllers for SOPDT Systems", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.7, Issue 11, page no.26 - 36, November-2022, Available :http://www.ijrti.org/papers/IJRTI2211005.pdf
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000205118
ISSN:
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator