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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:MENG Gui-zhi,MA Ke-mao,ZHANG Jia-wei.Global finite-time stabilization design for a class of high-order uncertain nonlinear systems[J].Journal of Harbin Institute Of Technology(New Series),2012,19(3):77-80.DOI:10.11916/j.issn.1005-9113.2012.03.014.
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Global finite-time stabilization design for a class of high-order uncertain nonlinear systems
Author NameAffiliation
MENG Gui-zhi Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China
Dept. of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, China 
MA Ke-mao Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China 
ZHANG Jia-wei Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China 
Abstract:
The problem of finite-time stabilization for uncertain nonlinear systems is investigated. It is proved that a class of high-order nonlinear systems in the lower-triangular form is globally stabilized via non-Lipschitz continuous state feedback. By using the finite-time Lyapunov stability theorem and the method of non-smooth feedback design, a recursive design procedure is provided, which guarantees the finite-time stability of the closed-loop system. The simulation results show the effectiveness of the theoretical results.
Key words:  finite-time stability  continuous state feedback  non-smooth control  high-order nonlinear system
DOI：10.11916/j.issn.1005-9113.2012.03.014
Clc Number:TP273
Fund:

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