Robust Performance of Systems with Structured Uncertainties in State Space

Kemin Zhou, Pramod P. Khargonekar, Jakob Stoustrup, Hans Henrik Niemann

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Abstract

This paper considers robust performance analysis and state feedback design for systems with time-varying parameter uncertainties. The notion of a strongly robust % performance criterion is introduced, and its applications in robust performance analysis and synthesis for nominally linear systems with time-varying uncertainties are discussed and compared with the constant scaled small gain criterion. It is shown that most robust performance analysis and synthesis
problems under this strongly robust % performance criterion can be transformed into linear matrix inequality problems, and can be solved through finite-dimensional convex programming. The results are in general less conservative than those using small gain type criteria.
Original languageEnglish
JournalAutomatica
Volume31
Issue number2
Pages (from-to)249-255
ISSN0005-1098
Publication statusPublished - 1995

Keywords

  • Robust control
  • State feedback
  • Convex programming

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