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Model approximation of continuous-time T-S fuzzy stochastic systems

  • Ligang Wu*
  • , Xiaojie Su
  • , Peng Shi
  • *Corresponding author for this work
  • School of Astronautics, Harbin Institute of Technology
  • Chongqing University
  • Adelaide University

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, we consider the H model approximation problem for continuous-time T-S fuzzy stochastic systems. For a given high-order T-S fuzzy stochastic system, our attention is focused on the construction of a reduced-order model, which guarantees the corresponding approximation error system to be mean-square asymptotically stable and has a specified H norm error performance. A sufficient condition is firstly proposed for the existence of the desired reduced-order model in terms of LMIs.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer International Publishing
Pages269-286
Number of pages18
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameStudies in Systems, Decision and Control
Volume12
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

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