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

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

Adaptive local tracking of a temperature profile in tubular reactor with partial measurements

In this work, a local constrained adaptive output feedback is presented for a class of exothermic tubular reactors models described by a nonlinear partial differential equations. The considered output is the measured temperature in a fixed zone of the reactor to regulate the temperature throughout the reactor to a ball with radius λ (arbitrarily small) centered at the fixed temperature profile. For a given measurement zone with length given in terms of the desired profile and λ and for initial temperature in a fixed domain, it is shown that the tracking error through the reactor tends asymptotically to a ball of arbitrary prescribed radius λ > 0, centered at the given temperature profile. Numerical simulations have been performed to illustrate the performance of the proposed approach

Constrained Global Adaptive Controller for a Plug flow Tubular Reactor with Partial Temperature Measurements

In this work, a global constrained adaptive output feedback is presented for a class of plug-flow tubular reactors models described by non-linear partial differential equations. The output of the system is the measured temperature in a fixed zone of the reactor. It is then used to regulate the temperature throughout the reactor to a ball with radius λ (arbitrarily small) centred at the fixed temperature profile

Input constrained adaptive tracking for a nonlinear distributed parameter tubular reactor

In this paper we address the problem of local A tracking of a pre-specified profile temperature for exothermic chemical reaction in a tubular reactor. In contrast to the various models in the literature, which are usually ordinary differential equations in finite-dimensional spaces, we use a nonlinear distributed parameter model for both the evolution of the temperature and the reactant concentration. We show under nonrestrictive conditions that an adaptive output feedback controller achieves approximate asymptotic tracking where the pre-specified asymptotic tracking accuracy, quantified by the design parameter lambda>0, is guaranteed. Only a feasibility assumption in terms of the reference temperature and the input constraints is considered. Numerical simulations have been performed to illustrate the performance of the proposed approach. Copyright (C) 2009 John Wiley & Sons, Ltd

Global Adaptive λ Tracking of a Temperature Profile in Tubular Reactor

This paper deals with the control design for a class of nonlinear distributed parameter systems, i.e. convection-diffusion-reaction systems, encountered under the form of non-isothermal tubular reactors in chemical engineering applications. More specifically the design concentrates on the boundary control of the temperature profile in an exothermic chemical reactor under input constraints. Our objective is to analyze the global stability of the closed-loop system by considering a simple control structure, i.e. an adaptive λ-tracking controller. It is shown that for all initial temperature and under simple feasibility assumptions, the tracking error tends asymptotically to a ball of arbitrary prescribed radius λ> 0, centered at the given temperature profile

Adaptive λ-tracking controller for an exothermic chemical plug flow tubular reactor

This paper deals with the tracking of a prespecified profile temperature for exothermic chemical tubular reactor whose dynamics is described by a set of nonlinear partial differential equations where the state variables are the reactor temperature and the reactant concentration. The coolant temperature, the inlet temperature and the inlet concentration are considered as control actions. For practical reasons, it is preferable to consider a non distributed control law to achieve the control objective. In contrast to our previous work that considers fully distributed control actions where the three control inputs are assumed to be distributed along the reactor, here the last two control inputs are applied at the reactor inlet and only the coolant temperature is distributed along the reactor. We show that the temperature of the reactor tends asymptotically to a ball of arbitrary prescribed radius λ>0, centred at the given temperature profile