H control of two-time-scale systems

Hassan K. Khalil*, Fu-Chuang Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


H control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.

Original languageEnglish
Pages (from-to)35-42
Number of pages8
JournalSystems and Control Letters
Issue number1
StatePublished - 1 Jan 1992


  • H control
  • multiple time scales
  • Singular perturbation


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