This paper deals with the on-line estimation and optimal control of a biolo
gical wastewater treatment process. The objective of the; control is to for
ce the residual substrate and the dissolved oxygen concentrations to track
a given reference model despite the disturbances and system parameter uncer
tainties. The control law is based on one step ahead prediction of the cont
rolled variables and minimization of an appropriate quadratic cost function
. The technique is based on direct exploitation of the nonlinear model repr
esenting the wastewater treatment process and is coupled with an asymptotic
estimator for on-line tracking of simultaneously unavailable states and ti
me varying parameters. The estimated variables are used in the explicit des
ign of the control algorithm according to certainty equivalence principle.
A simulation study subject to measurement noise and abrupt jumps in the kin
etic parameters shows the feasibility and robustness of the control strateg
y. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.