Global finite-time stabilisation of a class of feedforward non-linear systems

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Original languageEnglish
Pages (from-to)1450-1457
Journal / PublicationIET Control Theory and Applications
Issue number12
Publication statusPublished - 18 Aug 2011


In this study, the problem of global finite-time stabilisation for a class of feedforward non-linear systems is considered. Based on state transformation and Lyapunov method, a state feedback controller with a dynamic gain is derived. The finite-time stability of the closed-loop system and the boundedness of the control signal are proved by the finite-time Lyapunov stability theory. Different from many other existing control designs for feedforward non-linear systems, neither saturation nor recursive computation is applied in our approach, and thus the designed controllers have a very simple structure which can be easily implemented. A simulation example is given to demonstrate the effectiveness of the proposed design procedure. © 2011 The Institution of Engineering and Technology.