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Fractional Controller Optimization for Liquid Level System Using MATLAB

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Intelligent Computing, Information and Control Systems (ICICCS 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1039))

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Abstract

Conventional PID controller is oldest and one of the most widely used controllers in industry. In industrial development, the systems became more complex which leads to the requirement for more advanced controller. In this paper, the optimization technique for designing Fractional Order Fuzzy PI (FOFPI) controller is proposed. Controller designing is based on required values of peak overshoot and rise time. Optimal FOFPI gives better performance than PID, fuzzy logic PI and fractional order PI controller. FOFPI makes the system more robust.

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References

  1. Petras, I.: Tuning and implementation methods for fractional-order controllers. Fract. Calc. Appl. Anal. 15, 282–303 (2012)

    Article  MathSciNet  Google Scholar 

  2. Podlubny, I.: Fractional-order systems and fractional-order controller. Inst. Exp. Phys. Slovak Acad. Sci. 12(3), 1–18 (1994)

    Google Scholar 

  3. Zhao, C., Xue, D., Chen, Y.: A fractional order PID tuning algorithm for a class of fractional order plants. In: IEEE International Conference Mechatronics and Automation (2005). https://doi.org/10.1109/icma.2005.1626550

  4. Zhong, J., Li, L.: Tuning fractional-order PIλDμ controllers for a solid-core magnetic bearing system. IEEE Trans. Control Syst. Technol. 23, 1648–1656 (2015)

    Article  Google Scholar 

  5. Ionescu, C.M., Maxim, A., Copot, C., De Keyser, R.: Robust PID auto-tuning for the quadruple tank system. IFAC-PapersOnLine 49, 919–924 (2016)

    Article  Google Scholar 

  6. Shah, P., Agashe, S., Singh, A.P.: Fractional order modelling using state space theory. Int. J. Eng. Technol. 5, 2891–2894 (2013)

    Google Scholar 

  7. Shah, P., Agashe, S.: Review of fractional PID controller. Mechatronics 38, 29–41 (2016)

    Article  Google Scholar 

  8. Arun, N.K., Mohan, B.M.: Modeling, stability analysis, and computational aspects of some simplest nonlinear fuzzy two-term controllers derived via center of area/gravity defuzzification. ISA Trans. 70, 16–29 (2017)

    Article  Google Scholar 

  9. Khan, A.A., Rapal, N.: Fuzzy PID controller: design, tuning and comparison with conventional PID controller. In: IEEE International Conference on Engineering of Intelligent Systems (2006). https://doi.org/10.1109/iceis.2006.1703213

  10. Carvajal, J., Chen, G., Ogmen, H.: Fuzzy PID controller: design, performance evaluation, and stability analysis. Inf. Sci. 123, 249–270 (2000)

    Article  MathSciNet  Google Scholar 

  11. Pitalúa-Díaz, N., Herrera-López, E., Valencia-Palomo, G., González-Angeles, A., Rodríguez-Carvajal, R., Cazarez-Castro, N.: Comparative analysis between conventional PI and fuzzy logic PI controllers for ındoor benzene concentrations. Sustainability 7, 5398–5412 (2015)

    Article  Google Scholar 

  12. Quanser - Coupled Tanks Manual Document no. 557, rev. 04

    Google Scholar 

  13. Bequette, B.W.: Process Control: Modeling, Design, and Simulation. Prentice Hall, Upper Saddle River (2003)

    Google Scholar 

  14. Fegani, N., Charef, A.: Process step response based fractional PID controller parameters tuning for desired closed loop response. Int. J. Syst. Sci. 47, 1–12 (2014)

    Google Scholar 

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Correspondence to Rathod Divyani .

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Divyani, R., Amruta, D. (2020). Fractional Controller Optimization for Liquid Level System Using MATLAB. In: Pandian, A., Ntalianis, K., Palanisamy, R. (eds) Intelligent Computing, Information and Control Systems. ICICCS 2019. Advances in Intelligent Systems and Computing, vol 1039. Springer, Cham. https://doi.org/10.1007/978-3-030-30465-2_24

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