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Band Limited Realization of Fractional-Order Proportional Integral Controller for a Class of Finite Dimensional System

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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))

Abstract

Fractional-order controller (FOC) is an important area of study nowadays in control science. Due to their infinite dimensional nature, these controllers are approximated within a finite band for practical uses. In this paper, a fractional-order proportional integral controller (FOPI) has been realized within a limited band for a class of finite dimensional plant model. Firstly, the FOC has been tuned for the defined plant model to achieve a set of frequency domain objectives and then, the Oustaloup approximation has been employed to realize it within a limited band. The impact of the control design scheme is tested by connecting both the original FOC and the approximated FOC seperately with the plant model and subsequently comparing the open loop frequency responses with respect to the proposed design objectives through simulation studies. The robustness of the overall controlled system is also studied deviating the plant gain by a significant amount.

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Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, School of Technology, North-Eastern Hill University, Shillong, 793022, Meghalaya, India

    Jaydeep Swarnakar & Bhanita Adhikary

Authors
  1. Jaydeep Swarnakar
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  2. Bhanita Adhikary
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Corresponding author

Correspondence to Jaydeep Swarnakar .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Vaigai College of Engineering, Madurai, Tamil Nadu, India

    A. Pasumpon Pandian

  2. Electrical and Computer Engineering, University of Applied Sciences, Egaleo, Attiki, Greece

    Klimis Ntalianis

  3. Department of Business Administration, The Gerald Schwartz School of Business, Antigonish, NS, Canada

    Ram Palanisamy

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Swarnakar, J., Adhikary, B. (2020). Band Limited Realization of Fractional-Order Proportional Integral Controller for a Class of Finite Dimensional System. 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_9

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