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Fast finite-time consensus of a class of high-order uncertain nonlinear systems

Khoo, Suiyang, Trinh, Hieu, Man, Zhihong and Shen, Weixiang 2010, Fast finite-time consensus of a class of high-order uncertain nonlinear systems, in ICIEA 2010 : Proceedings of the 5th IEEE Conference on Industrial Electronics and Applications, IEEE Xplore, New York, N.Y., pp. 2076-2081.

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Title Fast finite-time consensus of a class of high-order uncertain nonlinear systems
Author(s) Khoo, Suiyang
Trinh, Hieu
Man, Zhihong
Shen, Weixiang
Conference name IEEE Conference on Industrial Electronics and Applications (5th : 2010 : Taichung, Taiwan)
Conference location Taichung, Taiwan
Conference dates 15-17 Jun. 2010
Title of proceedings ICIEA 2010 : Proceedings of the 5th IEEE Conference on Industrial Electronics and Applications
Editor(s) Huang, Jie
Publication date 2010
Conference series IEEE Conference on Industrial Electronics and Applications
Start page 2076
End page 2081
Total pages 6
Publisher IEEE Xplore
Place of publication New York, N.Y.
Keyword(s) sliding mode control
cooperative control
multi-agent networks
multi-surface sliding mode control
Summary This paper poses and solves a new problem of consensus control where the task is to make the fixed-topology multi-agent network, with each agent described by an uncertain nonlinear system in chained form, to reach consensus in a fast finite time. Our development starts with a set of new sliding mode surfaces. It is proven that, on these sliding mode surfaces, consensus can be achieved if the communication graph has the proposed directed spanning tree. Next, we introduce the multi-surface sliding mode control to drive the sliding variables to the sliding mode surfaces in a fast finite time. The control Lyapunov function for fast finite time stability, motivated by the fast terminal sliding mode control, is used to prove the reachability of the sliding mode surface. A recursive design procedure is provided, which guarantees the boundedness of the control input.
Notes This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
ISBN 1424450462
9781424450466
Language eng
Field of Research 090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category E1 Full written paper - refereed
HERDC collection year 2010
Copyright notice ©2010, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30032343

Document type: Conference Paper
Collections: School of Engineering
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.