Guaranteed properties of gain scheduled control for linear parameter-varying plants

Jeff S. Shamma*, Michael Athans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

512 Scopus citations

Abstract

Gain scheduling has proven to be a successful design methodology in many engineering applications. However in the absence of a sound theoretical analysis, these designs come with no guarantees on the robustness, performance, or even nominal stability of the overall gain scheduled design. This paper presents such an analysis for one type of gain scheduled system, namely, a linear parameter-varying plant scheduling on its exogenous parameters. Conditions are given which guarantee that the stability, robustness, and performance properties of the fixed operating point designs carry over to the global gain scheduled design. These conditions confirm and formalize popular notions regarding gain scheduled design, such as the scheduling variable should "vary slowly.".

Original languageEnglish (US)
Pages (from-to)559-564
Number of pages6
JournalAutomatica
Volume27
Issue number3
DOIs
StatePublished - Jan 1 1991

Keywords

  • Gain scheduling
  • parameter-varying systems
  • robustness
  • time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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