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Stability of Discrete-Time Internal Model Control Against Several Perturbations

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9th International Conference on Robotic, Vision, Signal Processing and Power Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 398))

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Abstract

Internal Model Control (IMC) is a popular control approach that integrates the model of the plant into the controller. In most cases, it is common to have a mismatch between the plant and the model due to noise and disturbance. Actuator constraints may also be another source of instability or performance degradation in IMC. This has lead to the development of IMC structure to sustain its robustness against many different types of uncertainties. This note presents a stability analysis of discrete-time IMC which is subject to saturation and a bounded uncertainty. The stability is guaranteed via one of the discrete counterparts of Popov criterion, namely Jury-Lee criterion (This work was supported by Fundamental Research Grant Scheme (203/PELECT/6071267), Ministry of Education of Malaysia.).

\(^1\) This work was supported by Fundamental Research Grant Scheme (203/PELECT/6071267), Ministry of Education of Malaysia.

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Author information

Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Universiti Sains Malaysia, Engineering Campus, 14300, Nibong Tebal, Penang, Malaysia

    Kevin Choo & N. S. Ahmad

Authors
  1. Kevin Choo
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  2. N. S. Ahmad
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Corresponding author

Correspondence to Kevin Choo .

Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, Malaysia

    Haidi Ibrahim

  2. School of Electrical & Electronic Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, Malaysia

    Shahid Iqbal

  3. School of Electrical & Electronic Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, Malaysia

    Soo Siang Teoh

  4. School of Electrical & Electronic Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, Malaysia

    Mohd Tafir Mustaffa

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Choo, K., Ahmad, N.S. (2017). Stability of Discrete-Time Internal Model Control Against Several Perturbations. In: Ibrahim, H., Iqbal, S., Teoh, S., Mustaffa, M. (eds) 9th International Conference on Robotic, Vision, Signal Processing and Power Applications. Lecture Notes in Electrical Engineering, vol 398. Springer, Singapore. https://doi.org/10.1007/978-981-10-1721-6_36

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  • DOI: https://doi.org/10.1007/978-981-10-1721-6_36

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1719-3

  • Online ISBN: 978-981-10-1721-6

  • eBook Packages: EngineeringEngineering (R0)

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