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Dynamic practical stabilization of sampled-data linear distributed parameter systems

Ying Tan 1, Emmanuel Trélat 2, Yacine Chitour 3, Dragan Nesic 1

(2009)

In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to uniformly exponentially stabilize numerical approximate models that are obtained from space and time discretization. Sufficient conditions are provided to ensure that these controllers can be used to drive trajectories of infinite-dimensional sampled-data systems to a neighborhood of the origin by properly tuning the sampling period, space and time discretization parameters and choosing an appropriate filtering process for initial conditions.

1:	Electrical and Electronic Engineering Department
	The University of Melbourne
2:	Mathématiques et Applications, Physique Mathématique d'Orléans (MAPMO)
	CNRS : UMR6628 – Université d'Orléans
3:	Laboratoire de Mathématiques d'Orsay (LM-Orsay)
	CNRS : UMR8628 – Université Paris XI - Paris Sud

Subject

:

Mathematics/Analysis of PDEs Mathematics/Numerical Analysis

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From: Emmanuel Trélat <>

Submitted on: Friday, 6 March 2009 11:29:27

Updated on: Friday, 6 March 2009 11:58:12