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Robust Control in Gap Metric

Encyclopedia of Systems and Control

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Abstract

Robust control needs to start with a model of system uncertainty. What is a good uncertainty model? First it needs to capture the possible system perturbations and uncertainties. Second it needs to be mathematically tractable. The gap metric was introduced by Zames and El-Sakkary for this purpose. Its study climaxed in an award-winning paper by Georgiou and Smith. A modified gap, called the ν-gap, was later discovered by Vinnicombe and was shown to have advantages. With these metrics in hand, robust stabilization issues can be nicely addressed.

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Authors and Affiliations

  1. Hong Kong University of Science and Technology, Hong Kong SAR, China

    Li Qiu

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  1. Li Qiu
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Correspondence to Li Qiu .

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Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2014 Springer-Verlag London

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Qiu, L. (2014). Robust Control in Gap Metric. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_165-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_165-1

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  • Publisher Name: Springer, London

  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Robust Control in Gap Metric
    Published:
    26 September 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_165-2

  2. Original

    Robust Control in Gap Metric
    Published:
    06 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_165-1

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