Finite-time stabilization of interconnected nonlinear systems

Abstract : This paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part that preserves the systems finite-time stability. Sufficient conditions for finite-time stability are achieved, and permit to extend the asymptotic stability results presented in the literature. The procedure can be applied for a large variety of autonomous nonlinear multi-system with and without drift terms. The finite-time stabilizing-tracking control of kinematically nonholonomic model of multiple wheeled mobile robots is presented and illustrated.
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Conference papers
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Submitted on : Monday, June 23, 2014 - 9:40:42 AM
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Naim Zoghlami, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou. Finite-time stabilization of interconnected nonlinear systems. 2013 IEEE International Conference on Control Applications (CCA 2013), Aug 2013, Hyderabad, India. pp.1188--1193, ⟨10.1109/CCA.2013.6662913⟩. ⟨hal-01011107⟩

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