Robust stabilization of uncertain discrete time-delay systems

Xinping Guan, Yichang Liu, Peng Shi, Ramesh K. Agarwal

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

Abstract

The problem of synthesizing a class of memoryless static state feedback control in order to stabilize a class of discrete-time uncertain systems with delayed state is considered. Necessary and sufficient conditions for the existence of the control laws have been obtain based on the definitions. The uncertain timedelay systems under consideration are described by state difference equations with time-varying unknownbut- bounded uncertain parameters. Based on discrete Lyapunov functional technique combined with an LMI technique, a sufficient condition for the existence of a memoryless robust controller is derived and a new method is presented for synthesizing robust control laws for the uncertain discrete time-delay systems. It is shown that the construction of the stabilizing controller involves solving a certain LMI.

Original languageEnglish
Title of host publicationAIAA Guidance, Navigation, and Control Conference and Exhibit
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479786
DOIs
StatePublished - 2000
EventAIAA Guidance, Navigation, and Control Conference and Exhibit 2000 - Dever, CO, United States
Duration: Aug 14 2000Aug 17 2000

Publication series

NameAIAA Guidance, Navigation, and Control Conference and Exhibit

Conference

ConferenceAIAA Guidance, Navigation, and Control Conference and Exhibit 2000
Country/TerritoryUnited States
CityDever, CO
Period08/14/0008/17/00

Keywords

  • Discrete-time systems
  • LMI approach
  • Time-delay

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