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Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach

In: Operator Theory

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  • Amol Sasane

    (Department of Mathematics, London School of Economics)

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.

Suggested Citation

  • Amol Sasane, 2015. "Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach," Springer Books, in: Daniel Alpay (ed.), Operator Theory, edition 127, chapter 35, pages 881-900, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0667-1_51
    DOI: 10.1007/978-3-0348-0667-1_51
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