H sampled data control of systems with time-delays

V. Suplin, E. Fridman, U. Shaked

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


Sampled-data H control of linear systems with state, control and measurement constant delays is considered. The sampling of the controlled input and of the measured output is not assumed to be uniform. The system is modelled as a continuous-time one, where the controlled input and the measurement output have piecewise-continuous delays. The input-output approach to stability and L2-gain analysis is applied to the resulting system. The discretized Lyapunov functional method is extended to the case of multiple delays, where the Lyapunov functional is complete in one of the delays (in the state) and is simple in the other delays (in the input and in the output), which are unknown, time-varying with known upper-bounds. Solutions to the state-feedback and the output-feedback H control problems are derived in terms of Linear Matrix Inequalities (LMIs).

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424414989, 9781424414987
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA


  • Discretized Lyapunov functional
  • LMI
  • Sampled data control
  • Time-delay


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