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Robust variable structure observer design for non-linear large-scale systems with non-linear interconnections

Mohamed, M; Yan, X-G; Spurgeon, SK; Mao, Z; (2018) Robust variable structure observer design for non-linear large-scale systems with non-linear interconnections. IMA Journal of Mathematical Control and Information , 35 (2) pp. 535-553. 10.1093/imamci/dnw063. Green open access

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Abstract

In this paper, a variable structure observer is designed for a class of non-linear large-scale interconnected systems in the presence of uncertainties and non-linear interconnections. The modern geometric approach is used to explore system structure and a transformation is employed to facilitate the observer design. Based on the Lyapunov direct method, a set of conditions are developed such that the proposed variable structure systems can be used to estimate the states of the original interconnected systems asymptotically. The internal dynamical structure of the isolated nominal subsystems as well as the structure of the uncertainties are employed to reduce the conservatism. The bounds on the uncertainties are non-linear and are employed in the observer design to reject the effect of the uncertainties. A numerical example is presented to illustrate the approach and the simulation results showthat the proposed approach is effective.

Type: Article
Title: Robust variable structure observer design for non-linear large-scale systems with non-linear interconnections
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/imamci/dnw063
Publisher version: https://doi.org/10.1093/imamci/dnw063
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: large-scale interconnected systems, variable structure observe, Lyapunov direct metho, uncertainties
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10062373
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