TY - GEN
A1 - Martins, Valérie Santos dos
A1 - Rodrigues, Mickael
A1 - Diagne, Mamadou
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points.
N2 - This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.
L1 - http://www.zbc.uz.zgora.pl/Content/47008/AMCS_2012_22_3_4.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/47008
KW - Saint-Venant equation
KW - multi-model
KW - LMIs
KW - infinite dimensional system
KW - exponential stability
KW - strongly ontinuous semigroup
KW - internal model boundary control
T1 - A multi-model approach to Saint-Venant equations: a stability study by LMIs
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=47008
ER -