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A delta-operator approach to robust stabilization for uncertain time-delay systems with jumping parameter

  • Kai Yu Wu*
  • , Yan Ming Fu
  • , Shuang Li
  • *Corresponding author for this work
  • Harbin University of Science and Technology
  • Harbin Institute of Technology

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

Abstract

This paper deals with the robust stabilization for a class of linear Delta-operator formulated uncertain systems with state delays and jumping parameters. The transition of the jumping parameters in systems is governed by a finite-state Markov process. The class of systems is a hybrid class of systems with two components in the vector state. The first component refers to the mode and the second one to the state. The mode is described by a continuous Markov process with finite state space. The state in each mode is denoted by a stochastic differential equation. Based on stability theory in stochastic differential equations, a sufficient condition on the existence of robust stabilizing control law is derived. Based on this condition, a robust memoryless stabilizing control law is designed in terms of a set of linear matrix inequalities. A numerical example demonstrates the effect of the proposed design approach.

Original languageEnglish
Title of host publicationProceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages481-485
Number of pages5
DOIs
StatePublished - 2006
Event6th World Congress on Intelligent Control and Automation, WCICA 2006 - Dalian, China
Duration: 21 Jun 200623 Jun 2006

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)
Volume1

Conference

Conference6th World Congress on Intelligent Control and Automation, WCICA 2006
Country/TerritoryChina
CityDalian
Period21/06/0623/06/06

Keywords

  • Linear matrix inequalities
  • Markovian jumping parameters
  • Robust stabilization
  • Time-delay systems

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