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Robust Control and Observation of LPV Time-Delay Systems

Abstract : This thesis pertains on the development of tools allowing for the study of LPV Time-Delay Systems. The provided approaches are based on Lyapunov-Krasovskii functionals or LFT used along with results like the small-gain theorem. Some methods to design controllers and observers are then derived from stability results expressed through LMIs. Robustness with respect to the uncertain knowledge on the delay value is ensured using appropriate techniques from robust analysis and control. Finally, a novel approach for the control of time-delay systems is introduced. In this approach, the controller is scheduled by an approximate value of the delay and such controllers are referred to as 'delay-scheduled controllers'. The fact that this controllers do not need to store past values of the state is a real advantage of the proposed technique.
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Contributor : Corentin Briat <>
Submitted on : Tuesday, June 23, 2009 - 8:15:07 PM
Last modification on : Thursday, November 19, 2020 - 12:59:51 PM
Long-term archiving on: : Wednesday, September 22, 2010 - 1:05:13 PM


  • HAL Id : tel-00387406, version 2


Corentin Briat. Robust Control and Observation of LPV Time-Delay Systems. Mathematics [math]. Institut National Polytechnique de Grenoble - INPG, 2008. English. ⟨tel-00387406v2⟩



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