TY - JOUR
T1 - ℋ∞ Adaptive observer for nonlinear fractional-order systems
AU - Ndoye, Ibrahima
AU - Laleg-Kirati, Taous-Meriem
AU - Darouach, Mohamed
AU - Voos, Holger
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: King Abdullah University of Science and Technology
PY - 2016/6/22
Y1 - 2016/6/22
N2 - In this paper, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations. The convergence of the proposed observer is derived in terms of linear matrix inequalities (LMIs) by using an indirect Lyapunov method.The proposed ℋ∞ adaptive observer is also robust against Lipschitz additive nonlinear uncertainty. The performance of the observer is illustrated through some examples including the chaotic Lorenz and Lü's systems. © 2016 John Wiley & Sons, Ltd.
AB - In this paper, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations. The convergence of the proposed observer is derived in terms of linear matrix inequalities (LMIs) by using an indirect Lyapunov method.The proposed ℋ∞ adaptive observer is also robust against Lipschitz additive nonlinear uncertainty. The performance of the observer is illustrated through some examples including the chaotic Lorenz and Lü's systems. © 2016 John Wiley & Sons, Ltd.
UR - http://hdl.handle.net/10754/621513
UR - http://doi.wiley.com/10.1002/acs.2699
UR - http://www.scopus.com/inward/record.url?scp=84977583285&partnerID=8YFLogxK
U2 - 10.1002/acs.2699
DO - 10.1002/acs.2699
M3 - Article
SN - 0890-6327
VL - 31
SP - 314
EP - 331
JO - International Journal of Adaptive Control and Signal Processing
JF - International Journal of Adaptive Control and Signal Processing
IS - 3
ER -