Feedback stabilization: a group theoretic approach

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Abstract

In order to design efficient algorithms that work on the set of controllers that fulfill a given property, e.g., stability, it is important to have an operation that preserves that property i.e., a suitable blending method. In this paper we show that one can define a special blending that preserves stability and it is defined directly in terms of the plant and controller, without the necessity to use any factorization. Moreover, as an interesting side effect of these investigations, an operation is given that leaves invariant the strongly stabilizing controllers and defines a group structure on them, too. The properties of the newly defined operation are illustrated through the special case of static state feedback controllers. Besides its educative value the presentation also provides a possible tool for the algorithmic development.

Original languageEnglish
Pages (from-to)146-151
Number of pages6
JournalIFAC-PapersOnLine
Volume49
Issue number9
DOIs
Publication statusPublished - 2016

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Keywords

  • controller blending
  • controller parametrisation
  • stability guarantee

ASJC Scopus subject areas

  • Control and Systems Engineering

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