Design of interval observers for uncertain dynamical systems

Denis Efimov 1 Tarek Raïssi 2
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : Interval state observers provide an estimate on the set of admissible values of the state vector at each instant of time. Ideally, the size of the evaluated set is proportional to the model uncertainty, thus interval observers generate the state estimates with estimation error bounds, similarly to Kalman filters, but in the deterministic framework. Main tools and techniques for design of interval observers are reviewed in this tutorial for continuous-time, discrete-time and time-delayed systems.
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Denis Efimov, Tarek Raïssi. Design of interval observers for uncertain dynamical systems. Automation and Remote Control / Avtomatika i Telemekhanika, MAIK Nauka/Interperiodica, 2016, 77 (2), pp.191−225. ⟨10.1134/S0005117916020016⟩. ⟨hal-01276439⟩

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