Copyright eEl IF AC Advanced Control of Chemical Processes,
Pisa, Italy, 2000
ROBUSTNESS ANALYSIS OF MODEL PREDICTIVE
CONTROL OF ACTIVATED SLUDGE PLANTS
S.R. Weijers and H. A. Preisig
Systems f3 Control Group
Faculty of Applied Physics, Eindhoven University of Technology
Cascade 3.14, p.a. Box 513
NL-5600 MB Eindhoven The Netherlands
Email: S.R.WeijersCtue.nl
Abstract: Process control is considered an important means to meet the increasingly
tighter demands that are being placed on sewage treatment in most western countries,
especially with respect to nutrients. This paper investigates stability robustness of a
wastewater treatment plant controlled with Model Predictive Control (MPC). Aims
of this model study are to study possibilities and limitations of advanced control
application to wastewater treatment , to obtain insight in the process factors that
affect control system robustness, and to find tuning rules to improve MPC robustness.
A simple plant model was studied. A structured uncertainty description of parameter
and state uncertainty was used to avoid conservative results. ;.t-Analysis was used
to compute robustness bounds of the closed loop system. The results show that
achievable robustness improvement by tuning is limited and indicate that nonlinearity
has a stronger effect on stability than parameter errors. Copyright © 2000IFAC
Keywords: Bio control, Wastewater treatment , Predictive control, Robust control,
Structured singular value,
1. INTRODUCTION
Increasingly stringent demands are being put
onto nitrogen removal from wastewater. Munici-
pal wastewater is treated biologically in so-called
activated sludge plants. To meet the stricter de-
mands, plants have to be upgraded and the treat-
ment process becomes more complicated. Pro cess
control is generally considered as an important
means to achieve stable operation under the typ-
ically large variations in load and temperature .
This view and recent advances in modelling and
sensor technology have been the motivation for
significant research efforts in different countries to
develop effective control strategies.
One particular question of interest is how and
to which extent advanced control can contribute
to improved plant operation and decreased in-
545
vestment costs. The activated sludge process is
multivariable, nonlinear, time-variable and stiff,
input constraints are present, and load and tem-
perature vary considerably. It is difficult to find
controllers that cope with all these characteristics,
and currently different control laws are applied,
proposed and investigated, ranging from classical
control including cascade control, model based
control such as LQG and MPC, adaptive control
to rule-based control, including knowledge-based
control and fuzzy control.
The currently available knowledge in the form of
mathematical models, especially the well-known
Activated Sludge Model No. 1 (ASM1, (Henze et
al ., 1987)) suggests the application of model based
control. In previous work, application of MPC
to different waste water treatment systems was
studied (Weijers et al., 1995)(Weijers et al., 1997) ,