Application of sub-predictor control for linear delayed stochastic systems

Eli Gershon*, Uri Shaked

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


The problem of robust predictor-based H state-feedback control for uncertain continuous-time stochastic state-multiplicative retarded systems is extended to include a set of sub-predictors, thus considerably improving the control performance. The multiplicative noise appears in the system dynamic matrix and in the measurement matrix of the observed signal, while the delay resided in the input to the system. In this problem, a cost function is defined which is the expected value of the standard H performance index with respect to the uncertain parameters. In the robust case, the solution is obtained via a simple set of linear matrix inequalities. We bring a detailed numerical example that demonstrates the superiority of designing state-feedback control via a set of sub predictor compared to a single predictor design.

Original languageEnglish
Pages (from-to)7185-7190
Number of pages6
Issue number2
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020


  • Delayed systems
  • Robust control
  • Stochastic H control
  • Sub-predictor control


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