Global stability of the error dynamics of an observer designed for the slow states of a singularly perturbed system

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    Author
    Cuevas, L; Nesic, D; Manzie, C
    Date
    2018
    Source Title
    Proceedings of the 2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)
    Publisher
    IEEE
    University of Melbourne Author/s
    Nesic, Dragan; Manzie, Christopher; Cuevas Ramirez, Luis
    Affiliation
    Electrical and Electronic Engineering
    Metadata
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    Document Type
    Conference Paper
    Citations
    Cuevas, L., Nesic, D. & Manzie, C. (2018). Global stability of the error dynamics of an observer designed for the slow states of a singularly perturbed system. Proceedings of the 2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV), pp.698-703. IEEE. https://doi.org/10.1109/ICARCV.2018.8581224.
    Access Status
    Open Access
    URI
    http://hdl.handle.net/11343/251883
    DOI
    10.1109/ICARCV.2018.8581224
    Abstract
    In this note, we study the stability of the error dynamics of an observer designed to estimate only the slow states of a singularly perturbed system. The observer is designed on the basis of the reduced (slow) model. We have recently reported semi-global practical results for this problem. Our previous work can be used to state local and regional convergence of the estimation error, but we cannot conclude global results from it. We seek to prove a stronger (global) result under stronger (global) assumptions in this manuscript. Moreover, we focus on proving the robustness of an observer with respect to singular perturbations and with respect to the measurement noise.

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