Application of Fractional PID Controller to Single and Multi-Variable Non-Minimum Phase Systems
Pritesh Shah1, Ravi Sekhar2, Sudhir Agashe3
1Pritesh Shah, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, India
2Ravi Sekhar, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, India.
3Sudhir Agashe, Department of Instrumentation and Control, College of Engineering, Pune, India.
Manuscript received on 11 March 2019 | Revised Manuscript received on 26 March 2019 | Manuscript published on 30 July 2019 | PP: 2801-2811 | Volume-8 Issue-2, July 2019 | Retrieval Number: B2805078219/19©BEIESP | DOI: 10.35940/ijrte.B2805.078219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: A non-minimum phase system has the unique characteristic of undershoot or over and undershoot based on the number of zeros and the location of zeros in the systems. A fractional PID controller has the ability to capture more dynamics, as there are two more parameters to tune compared to a traditional PID controller. In this paper, a fractional PID controller is designed for single and multi-variable non-minimum phase systems. A simple optimization method for the tuning of a fractional PID controller has been applied. Six different single variable plants were simulated covering different cases of non-minimum phase systems. Simulation results showed that zero crossing is reduced to a greater extent by fractional PID controller as compared to traditional PID controller for single variable systems. This paper also provides experimental validations for design and tuning of a fractional PID controller for a multi-variable non-minimum phase quadruple-tank system. Fine tuned experimental results agree well with simulation results, thereby validating the applicability of the fractional PID controller for multi variable non-minimum phase systems.
Index Terms: Fractional PID Controller, Non Minimum Phase, Fractional Calculus, Quadruple Tank System, Multi-Variable Control System.
Scope of the Article: Optical Phase Lock Loop