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LQR PI Controller Design for First-Order Time-Delay Systems

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Advances in Systems, Control and Automation

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 442))

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Abstract

In this paper, a linear quadratic regulator-based PI controller is designed to control the first-order time-delay systems. In most of the linear systems, the time delay is commonly found and this delay causes the performance of the system to deteriorate. So to achieve the good performance having delay, need to find the optimal PI controller gains. For this purpose, in this paper PI controller gains are find out by using the LQR, it gives the optimal gain values. In the design of LQR-based PI controller, the selection of Q matrices plays a vital role. So a skew symmetric matrix-based feedback gain matrix is used in selection of Q matrices. The proposed method is validated through various simulation examples. The results are compared to other existing techniques to show the better performance of the proposed method.

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Authors and Affiliations

  1. School of Electrical Engineering, Vellore Institute of Technology (VIT) University, Vellore, Tamil Nadu, India

    K. Harshavardhana Reddy, Prabhu Ramanathan & Sudha Ramasamy

  2. Department of Electrical and Electronics Engineering, University of Johannesburg, Auckland Park, Johannesburg, South Africa

    P. Sanjeevikumar

Authors
  1. K. Harshavardhana Reddy
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  2. Prabhu Ramanathan
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  3. Sudha Ramasamy
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  4. P. Sanjeevikumar
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Corresponding author

Correspondence to Prabhu Ramanathan .

Editor information

Editors and Affiliations

  1. Clinical Engineering, University of Virginia Health System, Charlottesville, Virginia, USA

    Avinash Konkani

  2. Department of Electronics and Communication Engineering, Sikkim Manipal Institute of Technology(SMIT), Rangpo, Sikkim, India

    Rabindranath Bera

  3. Department of Energy Engineering, North-Eastern Hill University, Shillong, Megalaya, India

    Samrat Paul

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Harshavardhana Reddy, K., Ramanathan, P., Ramasamy, S., Sanjeevikumar, P. (2018). LQR PI Controller Design for First-Order Time-Delay Systems. In: Konkani, A., Bera, R., Paul, S. (eds) Advances in Systems, Control and Automation. Lecture Notes in Electrical Engineering, vol 442. Springer, Singapore. https://doi.org/10.1007/978-981-10-4762-6_39

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  • DOI: https://doi.org/10.1007/978-981-10-4762-6_39

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4761-9

  • Online ISBN: 978-981-10-4762-6

  • eBook Packages: EngineeringEngineering (R0)

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