Adaptive sampled-data tracking for input-constrained exothermic chemical reaction models

Abstract

We consider digital input-constrained adaptive and non-adaptive output feedback control for a class of nonlinear systems which arise as models for controlled exothermic chemical reactors. Our objective is set-point control of the temperature of the reaction, with pre-specified asymptotic tracking accuracy set by the designer. Our approach is based on -tracking controllers, but in a context of piecewise constant sampled-data output feedbacks and possibly adapted sampling periods. The approach does not require any knowledge of the systems parameters, does not invoke an internal model, is simple in its design, copes with noise corrupted output measurements, and requires only a feasibility assumption in terms of the reference temperature and the input constraints.

High‐gain control without identification: a survey

“…Theoretical results and simulations for mostly biotechnological applications of λ-tracking are as follows: in anesthesia in [3]; for continuous stirred tank reactors in [1,6]; for exothermic chemical reactors under input constraints in [24]; for chemical reaction models with sampleddata in [25]; for activated sludge processes in [14].…”

Fractional-order Generalized Principle of Self-Support (FOG PSS) in Control Systems Design

“…And a sampled version of the high-gain adaptive λ−tracking controller is considered in [36], which is motivated by sampling arises from the possibility that the output of a system may not be available continuously, but only at discrete time instants. Recently, Ilchmann et al [37][38][39][40] considered the temperature control for exothermic chemical reactors by λ−tracking approach with a feedback law subjected to saturation constraints.…”