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Simulation and Modeling of Linear and Nonlinear PID Controller

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Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1440))

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Abstract

A controller is usually employed to tune the error signal so that the output of the plant becomes equal to the reference signal. This is done based on certain sets of rules. Most of the time, P, I, D or combination of two or more controllers is preferred for linear and nonlinear system where the controller could be applied not only to control the error signal, but even it could be directly applied to the output of the plant in feedback or feed forward path as well thereby providing better response of linear and nonlinear system, thus providing more flexibility to control the output of the plant. In this paper, nonlinear gains similar to piecewise or exponential function has been introduced. They have been applied to both linear and nonlinear systems. Their responses have been presented for the best possible combination for these systems.

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Author information

Authors and Affiliations

  1. Department of Computer Science-IOT, Raj Kumar Goel Institute of Technology, Ghaziabad, India

    Ramendra Singh

  2. Electrical Engineering Department, Babu Banarasi Das University, Lucknow, 226028, India

    Vikas Pandey &  Shashikant

  3. Department of Electronics and Communication Engineering, Inderprastha Engineering College, Ghaziabad, India

    Meenakshi Sharma

  4. Department of Mathematics, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India

    Manoj Sahni

Authors
  1. Ramendra Singh
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  2. Vikas Pandey
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  3. Meenakshi Sharma
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  4. Shashikant
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  5. Manoj Sahni
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Corresponding author

Correspondence to Ramendra Singh .

Editor information

Editors and Affiliations

  1. Pandit Deendayal Energy University, Gandhinagar, India

    Manoj Sahni

  2. School of Computer Science, University of Technology Sydney, Ultimo, NSW, Australia

    José M. Merigó

  3. Peter Faber Business School, Australian Catholic University, North Sydney, NSW, Australia

    Walayat Hussain

  4. Universidad Católica de la Santísima, Concepcion, Chile

    Ernesto León-Castro

  5. School of Economics and Business, Universidad de Talca, Talca, Chile

    Raj Kumar Verma

  6. Pandit Deendayal Energy University, Gandhinagar, India

    Ritu Sahni

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Singh, R., Pandey, V., Sharma, M., Shashikant, Sahni, M. (2023). Simulation and Modeling of Linear and Nonlinear PID Controller. In: Sahni, M., Merigó, J.M., Hussain, W., León-Castro, E., Verma, R.K., Sahni, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1440. Springer, Singapore. https://doi.org/10.1007/978-981-19-9906-2_10

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