Title :
Lyapunov functions and robustness analysis under Matrosov conditions with an application to biological systems
Author :
Mazenc, Frédéric ; Malisoff, Michael ; Bernard, Olivier
Author_Institution :
Projet MERE INRIA-INRA, UMR Analyse des Syst. et Biometrie, Montpellier
Abstract :
We construct strict Lyapunov functions for broad classes of nonlinear systems satisfying Matrosov type conditions. Our new constructions are simpler than the designs available in the literature. We illustrate our designs using a model for an experimental anaerobic digester used to treat wastewater.
Keywords :
Lyapunov methods; biocontrol; nonlinear control systems; robust control; wastewater treatment; Lyapunov functions; Matrosov conditions; anaerobic digester; biological systems; nonlinear systems; robustness analysis; wastewater treatment; Biological system modeling; Biological systems; Control systems; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robustness; Uncertainty; Wastewater treatment;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4586941
