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CDC'10, 49th IEEE Conf. on Decision & Control, Atlanta, Georgia : États-Unis (2010)

Causal observability of nonlinear time-delay systems with unknown inputs.

Gang Zheng (  Corresponding author ) 1, 2, Jean-Pierre Null Barbot 1, 3, Driss Boutat 4, Thierry Floquet 1, 2, Jean-Pierre Richard 1, 2

(2010)

This paper investigates the problem of causal observability of the states and unknown inputs of nonlinear time-delay systems. Using the theory of non-commutative rings, the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinate leading to such a form. Then, algorithms are provided to check the possibility of obtaining causal estimations of the states and unknown inputs for the studied systems.

1:	ALIEN (INRIA Saclay - Ile de France/Inria Lille - Nord Europe)
	INRIA – Polytechnique - X – Ecole Centrale de Lille – CNRS : UMR8146
2:	Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS)
	CNRS : UMR8146 – Université Lille I - Sciences et technologies – Ecole Centrale de Lille
3:	Électronique et Commande des Systèmes Laboratoire (ECS-Lab)
	Ecole Nationale Supérieure de l'Electronique et de ses Applications – ENSEA
4:	Laboratoire PRISME (PRISME)
	Université d'Orléans : EA4229 – ENSI Bourges

Research team: LAGIS-SYNER

Subject

:

Engineering Sciences/Automatic Computer Science/Automatic Control Engineering Mathematics/Optimization and Control

Keyword(s): delay system – observability – nonlinear – observers with unknown inputs

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From: Jean-Pierre Richard <>

Submitted on: Monday, 20 December 2010 07:00:06

Updated on: Wednesday, 19 September 2012 21:43:49