Reference : On the robustness of linear and non-linear fractional-order systems with non-linear u...
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/10993/24670
On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters
English
N'Doye, Ibrahima []
Darouach, Mohamed []
Voos, Holger mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)]
Zasadzinski, Michel []
May-2015
IMA Journal of Mathematical Control and Information
Oxford University Press
Yes (verified by ORBilu)
International
0265-0754
1471-6887
Oxford
United Kingdom
[en] Control Engineering ; fractional-order systems ; nonlinear systems
[en] This paper presents the robust stabilization problem of linear and non-linear fractional-order systems with non-linear uncertain parameters. The uncertainty in the model appears in the form of the combination of ‘additive perturbation’ and ‘multiplicative perturbation’. Sufficient conditions for the robust asymptotical stabilization of linear fractional-order systems are presented in terms of linear matrix inequalities (LMIs) with the fractional-order 0<α<1. Sufficient conditions for the robust asymptotical stabilization of non-linear fractional-order systems are then derived using a generalization of the Gronwall–Bellman approach. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/24670
10.1093/imamci/dnv022

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