Robust H output-feedback control of systems with time-delay

V. Suplin, U. Shaked

Research output: Contribution to journalArticlepeer-review


The problem of designing robust dynamic output-feedback controllers for linear, continuous, time-invariant systems with uncertain time-delay in the measured output and/or the control input and with polytopic type parameter uncertainties is considered. Given a transfer function matrix of a system with uncertain real parameters that reside in some known ranges, an appropriate, not necessarily minimal, state-space model of the system is described which permits reconstruction of its states. The resulting retarded model incorporates the uncertain parameters of the transfer function matrix in the state-space matrices and the uncertain time-delay that occurs in the control channel. To this model, the recent theory of robust H state-feedback control for retarded systems is applied. The theory is used to solve a benchmark problem of distillation column robust control design.

Original languageEnglish
Pages (from-to)193-199
Number of pages7
JournalSystems and Control Letters
Issue number3
StatePublished - Mar 2008


  • Distillation column
  • LMI
  • Output feedback
  • Polytopic uncertainty
  • Robust control H
  • Time delay


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