Title :
Control of a class of nonlinear cascade systems with input-dependent saturations
Author :
Casenave, Celine ; Perez, Marc
Author_Institution :
MISTEA, INRA-SupAgro, Montpellier, France
Abstract :
In the present paper, we propose a control strategy for the stabilization of a class of nonlinear cascade systems with input-dependent saturation. The saturation constraint considered is a constraint of order: the control input of one subsystem has to be smaller than the control input of the preceding subsystem of the cascade structure. This class of systems include interconnected reactors device such as multi-stage continuous fermentors. The control law is designed on the basis of a specific Lyapunov function previously introduced by R. Antonelli and A. Astolfi in [1]. It guarantees the stability of the closed-loop system, the convergence of the state variable to the set-point and the fulfillment of the saturation constraint all along the trajectories of the closed-loop system. The approach is applied, in numerical simulation, to a concrete example of a series of interconnected continuous bioreactors.
Keywords :
Lyapunov methods; bioreactors; cascade systems; closed loop systems; nonlinear control systems; Lyapunov function; closed-loop system; input-dependent saturations; interconnected continuous bioreactors; interconnected reactors device; nonlinear cascade systems; saturation constraint; stabilization; Closed loop systems; Inductors; Lyapunov methods; Nonlinear systems; Numerical simulation; Substrates; Trajectory; Lyapunov function; cascade systems; control design; input-dependent saturation; nonlinear system;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7161679