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Robust Finite-Time Stabilization for an Uncertain Nonlinear System  

Seo, Sang-Bo (ASRI, School of Electrical Engineering and Computer Science, Seoul National University)
Shin, Hyung-Bo (ASRI, School of Electrical Engineering and Computer Science, Seoul National University)
Seo, Jin-Heon (ASRI, School of Electrical Engineering and Computer Science, Seoul National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.46, no.2, 2009 , pp. 7-14 More about this Journal
Abstract
In this paper we consider the problem of global finite-time stabilization for a class of uncertain nonlinear systems which include uncertainties. The uncertainties are time-varying disturbances or parameters belong to a known compact set. The proposed design method is based on backstepping and dynamic exponent scaling using an augmented dynamics, from which, a dynamic smooth feedback controller is derived. The finite-time stability of the closed-loop system and boundedness of the controller are preyed by the finite-time Lyapunov stability theory and a new notion 'degree indicator'.
Keywords
finite-time stability; robust control; backstepping; uncertainties;
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