Global input constrained adaptive lambda-tracking with application to a nonlinear distributed parameter exothermic chemical reaction models in tubular reactor

Abstract

We consider input constrained adaptive output feedback control for exothermic chemical tubular reactor with axial dispersion. we use a non linear distributed parameter model with boundary control for both the evolution of the temperature and concentration. Our objective is the set point control of the output i.e, the temperature of the reaction. Practical consideration lead us to work in the presence of input constraints. we apply a λ-tracking controller, we show that for all initial temperature and under a simple feasibility assumptions that the tracking error tends asymptotically to a ball centred at the reference temperature and of arbitrary prescribed radius