Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 352, Issue 10, Pages 4366-4381Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2015.06.006
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Funding
- National Natural Science Foundation of China [61304007]
- Ph.D. Programs Foundation of Ministry of Education of China [20130111120007]
- China Postdoctoral Science Foundation [2014T70584]
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This paper considers the problem of finite-time synchronization for multiple coupled harmonic oscillators with a leader follower architecture. By using the techniques of finite-time control and saturation control, a class of bounded finite-time state feedback controllers are first proposed. Then to address the case in the presence of external disturbance and lack of velocity measurement, a finite-time convergent observer is constructed to estimate both the unknown velocity information and the disturbance in a finite time. Finally, a disturbance observer-based bounded finite-time output feedback controller is developed. Rigorous proof shows that the systems output can reach synchronization in a finite time and the final consensus states are the leader's states. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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