Analysis of robust performance with multiple objectives

Hiroshi Ito, Hiromitsu Ohmori, Akira Sano

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Performance robustness with multiple objectives of linear control systems having structured norm-bounded uncertainty is considered. In order to deal with any two objective functions Ψ1 and Ψ2 associated with a single feedback control system, the combined criterion Ψ[Ψ1 ψ2]Ψ {slanted equal to or less-than}S 1 is often used. The paper, however, considers Ψ ψ1 Ψ ≤ 1 and Ψ W, 11 ≤ 1 directly. It is shown that it is possible to assess robust performance of two objectives by a single μ test if repeated nonscalar blocks are adequately introduced in the structure of μ. In other words, a performance robustness problem with multiple objectives is proved to be equivalent to a stability robustness problem with extra repeated uncertainty blocks. This equivalence theorem is applicable to various system and norm setups including sampled-data systems.

Original languageEnglish
Pages (from-to)141-149
Number of pages9
JournalSystems and Control Letters
Issue number2
Publication statusPublished - 1995 May 22


  • Linear feedback systems
  • Multi-objective control
  • Robust performance
  • Robust stability
  • Structured singular value
  • Structured uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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