A descriptor system approach to H control of linear time-delay systems

E. Fridman*, Uri Shaked

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The output-feedback H control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter." The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory.

Original languageEnglish
Pages (from-to)253-270
Number of pages18
JournalIEEE Transactions on Automatic Control
Issue number2
StatePublished - Feb 2002


  • Delay-dependent criteria
  • Descriptor systems
  • H -control
  • Linear matrix inequalities (LMIs)
  • Time-delay systems


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