Title :
Stability analysis of switching hyperbolic systems: the example of SMB chromatography
Author :
Bastin, Georges ; Coron, Jean-Michel ; d´AndreÌa-Novel, Brigitte ; Suvarov, Paul ; Vande Wouwer, Alain ; Kienle, Andrea
Author_Institution :
Dept. of Math. Eng., Univ. catholique de Louvain, Louvain-la-Neuve, Belgium
Abstract :
This paper addresses the issue of the exponential stability of hybrid hyperbolic systems with switching boundary conditions. Our contribution is to show, through the specific example of SMB chromatography, how exponential stability (in L2-norm) can be established when the switching mechanism is precisely defined. The obtained stability conditions are direct generalizations of the corresponding results for the unswitched case.
Keywords :
asymptotic stability; chromatography; hyperbolic equations; time-varying systems; L2-norm; SMB chromatography; exponential stability; simulated moving bed chromatography; stability analysis; stability conditions; switching boundary conditions; switching hyperbolic systems; switching mechanism; Boundary conditions; Control theory; Mathematical model; Stability analysis; Switches;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862556
