Stochastic linear retarded systems: Robust vertex-dependent H control via measurement-feedback

Eli Gershon, Uri Shaked

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider linear, state-delayed, discrete-time systems with stochastic uncertainties in their state-space model. The problem of robust H static output-feedback control is solved, for the stationary case, via the input-output approach by which the system is replaced by a non-retarded system with deterministic norm-bounded uncertainties. Based on the BRL result of the above systems, solutions are obtained for nominal and uncertain polytopic systems, where for the former, a single LMI solution is obtained and where in the latter a vertex-dependent approach is adopted. In both problems, a cost function is defined which is the expected value of the standard H performance index with respect to the multiplicative noise.

Original languageEnglish
Title of host publication2017 25th Mediterranean Conference on Control and Automation, MED 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages631-636
Number of pages6
ISBN (Electronic)9781509045334
DOIs
StatePublished - 18 Jul 2017
Event25th Mediterranean Conference on Control and Automation, MED 2017 - Valletta, Malta
Duration: 3 Jul 20176 Jul 2017

Publication series

Name2017 25th Mediterranean Conference on Control and Automation, MED 2017

Conference

Conference25th Mediterranean Conference on Control and Automation, MED 2017
Country/TerritoryMalta
CityValletta
Period3/07/176/07/17

Keywords

  • Input-output
  • Retarded discrete-time systems
  • Zero-order control

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