Robust Static Output-Feedback Control of Stochastic Continuous Time-Delayed Systems

Eli Gershon*, Uri Shaked

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this article, a descriptor method is introduced for designing static output-feedback controllers for linear, continuous-time, retarded, stochastic systems that achieves a prescribed H∞ performance. A design solution is obtained for the uncertain case, where the parameters of the system matrices reside in a given polytope. The latter solution enables the derivation of the required constant output gain by solving a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope. The theory developed is also extended to the gain-scheduling case, and it is demonstrated by two examples. The first example compares various solution methods and the second is one of robust pitch control of an aircraft.

Original languageEnglish
Pages (from-to)6167-6172
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number11
StatePublished - 1 Nov 2022


  • Polytopic uncertainty
  • robust control
  • static output feedback
  • stochastic systems


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