Continuous-Discrete Observers for Time-Varying Nonlinear Systems: A Tutorial on Recent Results

Frederic Mazenc 1, 2 Vincent Andrieu 3 Michael Malisoff 4
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : Continuous-discrete systems can occur when the plant state evolves in continuous time but the output values are only available at discrete instants. Continuous-discrete observers have the valuable property that the observation error between the true state of the system and the observer state converges to zero in a uniform way. The design of continuous-discrete observers can often be done by building framers, which provide componentwise upper and lower bounds for the plant state. This paper is a tutorial on these approaches, highlighting recent results in the literature, and also providing previously unpublished, original results which are not being simultaneously submitted elsewhere.
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Frederic Mazenc, Vincent Andrieu, Michael Malisoff. Continuous-Discrete Observers for Time-Varying Nonlinear Systems: A Tutorial on Recent Results. 2015 SIAM Conference on Control and its Applications , Jul 2015, Paris, France. ⟨10.1137/1.9781611974072.26⟩. ⟨hal-01257347⟩

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