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Manufacturing Engineering pp 639–655Cite as

Designing of the PID and PIλ Dμ Controller for DC Motor

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Part of the Lecture Notes on Multidisciplinary Industrial Engineering book series (LNMUINEN)

Abstract

In this paper, a novel approach has been proposed for consistent controller design. Engineers and scientists are often challenged with the design, analysis, and synthesis of actual problems. The development of a ‘mathematical model’ can be a feasible substitute for the actual problem. Here the construction of a mathematical model is from a process or plant. If the plant and the controller are described by a set of fractional differential equations then the fractional derivative and integral provide a wide range of applications for such dynamical systems. Here the stability of a DC motor is checked at a different level and it is found that, the existence of a large stability region in the complex plane with fractional-order system. Additional reliability and flexibility are obtained for system implementation in the control engineering with the large stability region. Instead of an analytically or experimentally approaches if a fractional-order controller design approach is used for a given process then the measured parameter gives the better result.

Keywords

  • DC motor
  • Fractional-order system
  • Fractional-order calculus
  • Stability
  • MATLAB
  • Function under class
  • Ziegler–Nichols method

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  • DOI: 10.1007/978-981-15-4619-8_46
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Abbreviations

PID:

Proportional integral derivative

LTI:

Linear time invariant

\(G{\text{cl}}_{\text{ZN}}\) :

Close-loop response of Ziegler–Nichols method

\(G_{\text{Plant}}\) :

Plant transfer function

\(G_{{R1{\text{cl}}}} (s)\) :

Close-loop transfer function of plant

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Wolaita Sodo University, Sodo, Ethiopia

    Parvendra Kumar & Degu Menna Eligo

Authors
  1. Parvendra Kumar
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  2. Degu Menna Eligo
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Corresponding author

Correspondence to Parvendra Kumar .

Editor information

Editors and Affiliations

  1. School of Mechanical, Industrial and Aeronautical Engineering, University of Witwatersrand, Johannesburg, Gauteng, South Africa

    Dr. Vishal S. Sharma

  2. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India

    Dr. Uday S. Dixit

  3. Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology, Trondheim, Norway

    Dr. Knut Sørby

  4. Department of Industrial and Production Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    Dr. Arvind Bhardwaj

  5. Department of Industrial and Production Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    Dr. Rajeev Trehan

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Kumar, P., Eligo, D.M. (2020). Designing of the PID and PIλ Dμ Controller for DC Motor. In: Sharma, V., Dixit, U., Sørby, K., Bhardwaj, A., Trehan, R. (eds) Manufacturing Engineering . Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4619-8_46

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  • DOI: https://doi.org/10.1007/978-981-15-4619-8_46

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