Robust Stabilization of Linear Control Systems Using a Frequency Domain Approach

Amol Sasane ()
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Amol Sasane: Department of Mathematics, London School of Economics

Chapter 35 in Operator Theory, 2015, pp 881-900 from Springer

Abstract: 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.

Keywords: Transfer Function; Stabilization Problem; Banach Algebra; Discrete Time System; Linear Control System (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_51

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DOI: 10.1007/978-3-0348-0667-1_51

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