Delayed Time-Varying $H^infty$ Control Design

Andrey Barabanov, Andrey Ghulchak

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review


The linear $H^infty$ control problem is stated for time-varying plant with arbitrary delays and discontinuous coefficients. The image representation of the plant is explicitly written and full solution to the suboptimal control problem is presented. Necessary and sufficient conditions for existence of a solution are derived from the abstract principle of maximum. No Riccati equations are used. The existence of smooth kernels of optimal integral operators is proved and their properties are studied. A numerical method is presented for computation of the optimal kernels for the special case. The case is a model of a car autopilot on a concave road.
Original languageEnglish
Title of host publication[Host publication title missing]
Number of pages6
Publication statusPublished - 2005
EventIFAC World Congress - Prague, Czech Republic
Duration: 2005 Jul 4 → …


ConferenceIFAC World Congress
Country/TerritoryCzech Republic
Period2005/07/04 → …

Subject classification (UKÄ)

  • Mathematics


  • Numerical methods
  • Delay analysis
  • Maximum principle
  • $H^infty$ control


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