Interval observers design for singularly perturbed systems
作者： B. Yousfi , T. Raissi , M. Amairi , M. Aoun
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摘要: This paper deals with interval observers design for two-time singularly perturbed systems. The full-order system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an observer designed subsystem assuming that singular parameter uncertain. decoupling leads to two estimate lower upper bounds state values. A numerical example shows efficiency of proposed technique.
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Desineni S Naidu, Singular perturbations and time scales in control theory and applications: An overview Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm. ,vol. 9, pp. 233- 278 ,(2002)
Nicolas Boizot, Eric Busvelle, Adaptive-gain observers and applications Lecture Notes in Control and Information Sciences. pp. 71- 114 ,(2007) , 10.1007/978-3-540-73503-8_3
N. P. Vora, M. -N. Contou-Carrere, P. Daoutidis, Model Reduction of Multiple Time Scale Processes in Non-standard Singularly Perturbed Form Springer, Berlin, Heidelberg. pp. 99- 113 ,(2006) , 10.1007/3-540-35888-9_6
Gildas Besançon, Nonlinear observers and applications Springer. pp. 224- ,(2007)
Stanislav Chebotarev, Denis Efimov, Tarek Raïssi, Ali Zolghadri, Interval observers for continuous-time LPV systems withL1/L2performance Automatica. ,vol. 58, pp. 82- 89 ,(2015) , 10.1016/J.AUTOMATICA.2015.05.009
New directions in nonlinear observer design Springer. ,(1999) , 10.1007/BFB0109917
Hassan K. Khalil, John O'Reilly, Petar Kokotović, Singular Perturbation Methods in Control: Analysis and Design ,(1986)
A. Tellili, M.N. Abdelkrim, M. Benrejeb, Model-based fault diagnosis of two-time scales singularly perturbed systems international symposium on control, communications and signal processing. pp. 819- 822 ,(2004) , 10.1109/ISCCSP.2004.1296571
V. Van Breusegem, G. Bastin, Reduced order dynamical modelling of reaction systems: A singular perturbation approach conference on decision and control. pp. 1049- 1054 ,(1991) , 10.1109/CDC.1991.261484
Edward L. Reiss, A Modified Two-Time Method for the Dynamic Transitions of Bifurcation Siam Journal on Applied Mathematics. ,vol. 38, pp. 249- 260 ,(1980) , 10.1137/0138021