Stochastic Discrete-Time Systems with Delay - Robust Vertex-dependent H∞State-feedback Control

Eli Gershon, Uri Shaked

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

2 Scopus citations

Abstract

The theory of stochastic state-multiplicative state-feedback control of retarded discrete-time systems is extended to the robust polytopic case, where a vertex-dependent approach is applied. The latter problem is solved by first deriving a stability condition for uncertain systems based on the application of the Finsler lemma to the studied systems, where a special Lyapunov function is applied to each vertex of the uncertainty polytope. Compared to the stability condition which is obtained by the quadratic approach where a single Lyapunov function is applied to the whole uncertainty polytope, the vertex-dependent approach achieves a significatively less-conservative result than the former approach. Based on the vertex-dependent stability condition, a robust bounded real lemma is derived and solved, leading to the solution of the state-feedback control for uncertain systems.

Original languageEnglish
Title of host publicationMED 2018 - 26th Mediterranean Conference on Control and Automation
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages499-504
Number of pages6
ISBN (Print)9781538678909
DOIs
StatePublished - 20 Aug 2018
Event26th Mediterranean Conference on Control and Automation, MED 2018 - Zadar, Croatia
Duration: 19 Jun 201822 Jun 2018

Publication series

NameMED 2018 - 26th Mediterranean Conference on Control and Automation

Conference

Conference26th Mediterranean Conference on Control and Automation, MED 2018
Country/TerritoryCroatia
CityZadar
Period19/06/1822/06/18

Keywords

  • Input-output
  • Retarded discrete-time systems
  • State-feedback H∞) control

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