Multiobjective ℋ problems: Linear and nonlinear control

Research output: Contribution to journalArticlepeer-review


In this note, we compare the value of nonlinear and linear control for a multiobjective ℋ control problem with a linear time-invariant (LTI) plant. We show that if the ℋ performance of a nonlinear feedback controller is measured by the maximum incremental gain, the optimal achievable performance with nonlinear, time-varying control is identical to that achievable by LTI control.

Original languageEnglish (US)
Pages (from-to)135-141
Number of pages7
JournalSystems and Control Letters
Issue number3
StatePublished - Nov 17 1997


  • Interpolation theory
  • Multiobjective optimization
  • Nonlinear control
  • Structured uncertainty
  • ℋ control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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