Direct Synthesis Based Fractional Order PID Controller Design for Non – Integer Order Systems with Time Delay
C.V. Nageswara Rao1, Siva Prasad P2
1C. V. Nageswara Rao*, Department of Chemical Engineering, Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam, India.
2P. Siva Prasad, Department of Chemical Engineering, Gayatri Vidya Parishad College of Engineering (A), Visakhapatnam, India.
Manuscript received on January 14, 2020. | Revised Manuscript received on January 25, 2020. | Manuscript published on February 10, 2020. | PP: 1042-1049 | Volume-9 Issue-4, February 2020. | Retrieval Number: D1494029420/2020©BEIESP | DOI: 10.35940/ijitee.D1494.029420
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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: Present study focuses on design and implementation of PI𝝀D𝝁 controller to obtain the closed loop response of for non-integer order systems (NIOS). Controller is designed using direct synthesis (DS) method. Performance analysis in terms of IAE, ISE and ITAE is made and compared with that of literature reported methods. Robustness in terms of Maximum Sensitivity (Ms) is also analyzed. Tuning parameters q and 𝝀, are selected with an arbitrary value for set-point trajectory and disturbance rejection. The closed loop response is studied for various non-integer order systems. Tuning parameters with respect to q (adjustable tuning parameter in assumed closed loop transfer function) and 𝝀 are arrived at for different case studies, q varying from 0.05 to 0.5 and 𝝀 varying from 0.5 to 6. FOMCON tool box of Simulink in MATLAB is employed for the simulation study.
Keywords: Direct Synthesis, Fractional Order, FOPID Controller, Non-Integer Order Systems, Performance Analysis, and Robustness.
Scope of the Article: Automated software design and synthesis