Exponential stabilization of a class of nonlinear systems: A generalized Gronwall–Bellman lemma approach |
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| Authors: | Ibrahima N&rsquo Doye,Michel Zasadzinski,Mohamed Darouach,Nour-Eddine Radhy,Abdelhaq Bouaziz |
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| Affiliation: | aNancy Université, Centre de Recherche en Automatique de Nancy (CRAN UMR-7039) CNRS, IUT de Longwy, 186 rue de Lorraine 54400 Cosnes et Romain, France;bUniversité Hassan II, Faculté des Sciences Ain Chock de Casablanca, Laboratoire Physique et Matériaux Microélectronique Automatique et Thermique (LP2MAT), BP: 5366 Maarif Casablanca 20100, Maroc;cUniversité Hassan II Ain Chock - Ecole Supérieure de Technologie de Casablanca, Laboratoire Mécanique, Productique et Génie Industriel (MPGI), Km 7, Route El Jadida, BP: 8012 Oasis Casablanca, Maroc |
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| Abstract: | In this paper, stabilizing control design for a class of nonlinear affine systems is presented by using a new generalized Gronwall–Bellman lemma approach. The nonlinear systems under consideration can be non Lipschitz. Two cases are treated for the exponential stabilization: the static state feedback and the static output feedback. The robustness of the proposed control laws with regards to parameter uncertainties is also studied. A numerical example is given to show the effectiveness of the proposed method. |
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| Keywords: | Nonlinear affine systems Generalized Gronwall&ndash Bellman lemma Exponential stabilization Static state feedback Static output feedback Robustness |
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