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Variable Structure Observers for Nonlinear Interconnected Systems

Mohamed, Mokhtar and Yan, Xinggang and Spurgeon, Sarah K. and Mao, Zehui (2018) Variable Structure Observers for Nonlinear Interconnected Systems. In: Li, Shihua and Yu, Xinghuo and Fridman, Leonid and Man, Zhihong and Wang, Xiangyu, eds. Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications. Studies in Systems, Decision and Control . Springer, pp. 195-221. ISBN 978-3-319-62895-0. E-ISBN 978-3-319-62896-7. (doi:10.1007/978-3-319-62896-7_8) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)

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Abstract

In this chapter, a variable structure observer is designed for a class of nonlinear large-scale interconnected systems in the presence of uncertainties and nonlinear 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 conservatism. The bounds on the uncertainties are nonlinear and are employed in the observer design to enhance robustness. A numerical example is presented to illustrate the results and simulation studies show that the proposed approach is effective.

Item Type: Book section
DOI/Identification number: 10.1007/978-3-319-62896-7_8
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Xinggang Yan
Date Deposited: 12 Sep 2017 09:45 UTC
Last Modified: 01 Aug 2019 10:42 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/63373 (The current URI for this page, for reference purposes)
Yan, Xinggang: https://orcid.org/0000-0003-2217-8398
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