Fractional Order PI Controller for Nonlinear Processes using Binomial Theorem Approximation
Gowtham.T1, Srinivasan.K2, Balaji.M3, Kaushik.S4, Thirukkuralkani .K .N5
1Gowtham.T., Assistant Professor, Department of Electronics and Instrumentation Engineering, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
2Srinivasan.K., Professor and Head Department of Electronics and Instrumentation Engineering, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
3Balaji.M., Assistant Professor, Department of Electrical and Electronics Engineering Dr.Mahalingam College of Engineering and Technology, Pollachi, Tamil Nadu, India.
4Kaushik.S., Assistant Professor, Department of Electronics and Instrumentation Engineering, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
5Thirukkuralkani.K.N. , Assistant Professor, Department of Electronics and Instrumentation Engineering, Sri Ramakrishna Engineering College, Coimbatore, Tamil Nadu, India.
Manuscript received on November 20, 2019. | Revised Manuscript received on November 26, 2019. | Manuscript published on 30 November, 2019. | PP: 3389-3395 | Volume-8 Issue-4, November 2019. | Retrieval Number: C6713098319/2019©BEIESP | DOI: 10.35940/ijrte.C6713.118419
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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: In Most of the process industries, Integer order Proportional Integral controller (IOPI) has been designed for different processes due to its simplicity but it will damage the final control element due to the sudden change in controller output. So, this research work proposed to eliminate the ringing phenomena by applying large pure time delay in the controller output by proposing Fractional Order Proportional Integral (FOPI) controller using Binomial theorem approximation for the nonlinear conical and spherical tank level processes. The control of liquid level in the nonlinear tank is arduous in nature due to an imbalance in the area of the transverse section of the tank. The robustness of the IOPI and FOPI controllers has demonstrated in Time Domain Specifications (TDS). The FOPI controller eliminates the peak overshoot in the process variable and ringing effect in controller output to protect the pneumatic positioned control valve.
Keywords: Fractional Order Proportional Integral Controller, Binomial Theorem Approximation, Ringinging Effect, And Level Control.
Scope of the Article: Approximation and Randomized Algorithms.