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Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach

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Operator Theory

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Abstract

This chapter describes the frequency domain approach to the robust stabilization problem in linear control theory. The exposition is restricted to single-input single-output systems. After introducing the preliminaries on linear control systems, their transfer functions, stable and nonstable systems, the stabilization problem and its solution are discussed via the factorization approach, and finally an appropriate metric on the set of transfer functions making stabilizability a robust property is given along with some simple prototypical computational examples.

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Authors and Affiliations

  1. Department of Mathematics, London School of Economics, London, UK

    Amol Sasane

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  1. Amol Sasane
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Correspondence to Amol Sasane .

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Editors and Affiliations

  1. Ben-Gurion University of the Negev, Department of Mathematics, Beer-Sheva, Israel

    Daniel Alpay

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Sasane, A. (2014). Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach. In: Alpay, D. (eds) Operator Theory. Springer, Basel. https://doi.org/10.1007/978-3-0348-0692-3_51-1

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  • DOI: https://doi.org/10.1007/978-3-0348-0692-3_51-1

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  • Publisher Name: Springer, Basel

  • Online ISBN: 978-3-0348-0692-3

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