NDLI: Finite-time stabilization in the large for uncertain nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Huang, X. Wei Lin Bo Yang
Copyright Year	2004
Description	Author affiliation: Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA (Huang, X.; Wei Lin; Bo Yang)
Abstract	We consider the problem of finite-time stabilization for nonlinear systems. In the previous work, it was proved that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system could be achieved by non-Lipschitz continuous state feedback. The proof was based on the finite-time Lyapunov stability theorem and the nonsmooth feedback design method proposed in, for the control of nonlinear systems that are impossible to be dealt with by any smooth feedback. A simpler design algorithm is given for the construction of a non-Lipschitz continuous, global finite-time stabilizer as well as a C/sup 1/ positive definite and proper Lyapunov function that guarantees finite-time stability.
Sponsorship	American Automatic Control Council IFAC
Starting Page	1073
Ending Page	1078
File Size	402341
Page Count	6
File Format	PDF
ISBN	0780383354
ISSN	07431619
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Nonlinear systems Control systems Output feedback State feedback Lyapunov method Optimal control Nonlinear control systems Convergence Asymptotic stability Design methodology
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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