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Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback

Feng, J; Zhao, D; Yan, X; Spurgeon, SK; (2020) Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback. International Journal of Robust and Nonlinear Control , 30 (6) pp. 2152-2170. 10.1002/rnc.4869. Green open access

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Abstract

In this paper, a class of interconnected systems is considered, where the nominal isolated systems are fully nonlinear. A robust decentralized sliding mode control based on static state feedback is developed. By local coordinate transformation and feedback linearization, the interconnected system is transformed to a new regular form. A composite sliding surface which is a function of the system state variables is proposed and the stability of the corresponding sliding mode dynamics is analyzed. A new reachability condition is proposed and a robust decentralized sliding mode control is then designed to drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and are assumed to be bounded by nonlinear functions. The bounds on the uncertainties and interconnections have more general forms when compared with existing work. A MATLAB simulation example is used to demonstrate the effectiveness of the proposed method.

Type: Article
Title: Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/rnc.4869
Publisher version: https://doi.org/10.1002/rnc.4869
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: Decentralized control, nonlinear interconnected systems, sliding mode control, static state feedback
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/10090215
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