Figure 3: Experimental results. Local upstream control.
Water level (mm), reference (mm), gate position (mm), time
(h).
where η is a white dither noise of small amplitude,
such that and F is the vector of controller gains, com-
puted from the estimates of the corresponding pre-
dictive models by the optimization of a cost function
across a predefined horizon T.
An integral effect has been also considered in par-
allel with MUSMAR. This algorithm has been im-
plemented in C and linked with the software package
presented above. A detailed description of MUSMAR
is presented in (Mosca et al., 1989).
4 EXPERIMENTAL RESULTS
The following results were obtained at the experimen-
tal canal with MUSMAR controller in January 2007.
In the experiment the control structure is a local
upstream one. The sampling time was set to 5 s, the
controlled variable is the level upstream of gate 2, the
manipulated variable is the position of gate 2. The
inlet flow of the canal was locally controlled to 35 l/s,
off-take valves were closed and gate 1, 3, and 4 were
opened.
Experimental results are shown in Fig.3. After the
startup the gains converge and the algorithm follows
the reference, although with a significant static error.
At instant 17,2 the integral gain was set to 0.05 elim-
inating the static error.
5 CONCLUSIONS
An adaptive predictive control algorithm and an API
software package were implemented, and tested in an
experimental process plant. The results show the ap-
plicability of advanced control algorithms in the con-
text of water canal systems. Instrumented canal plants
with centralised control and supervision are essen-
tial to the application of complex control algorithms,
which are impractical to implement on local PLCs.
As future work the inclusion of a priori information
(loading initial gains and initial covariance matrix) is
a promising step as it has been observed in other ap-
plications to be an important issue in order to apply
the MUSMAR algorithm in production environment.
ACKNOWLEDGEMENTS
This work has been supported under project FLOW -
POSC/EEA-SRI/61188/2004.
REFERENCES
Almeida, M., Figueiredo, J., and Rijo, M. (2002). Scada
configuration and control modes implementation on
an experimental water supply canal. In MED’2002,
10th Mediterranean Conference on Control and Au-
tomation, Lisbon, Portugal.
Coito, F., Lemos, J., Silva, R. N., and Mosca, E. (1997).
Adaptive control of a solar energy plant: exploit-
ing accessible disturbances. In Int. Journal of Adap-
tive Control and Signal Processing, volume 11, pages
327–342.
Costa, B., Nunes, M. S., and Lemos, J. (2002). Adaptive
predictive control of ip traffic. In MED’2002, 10th
Mediterranean Conference on Control and Automa-
tion, Lisbon, Portugal.
Marques, M. C. and Silva, R. N. (2005). Traffic simu-
lation for intelligent transportation systems develop-
ment. In IEEE Intelligent Transport Systems Confer-
ence, Viena, Austria.
Mosca, E., Zappa, G., and Lemos, J. M. (1989). Robustness
of multipredictive adaptive regulators: Musmar. In
Automatica, volume 25, pages 521–529.
Ratinho, T., Figueiredo, J., and Rijo, M. (2002). Modelling,
control and field tests on an experimental irrigation
canal. In MED’2002, 10th Mediterranean Conference
on Control and Automation, Lisbon, Portugal.
Rato, L., R. N. Silva, J. L., and Coito, F. (1997). Multirate
musmar cascade control of a distributed collector so-
lar field. In ECC’97, European Control Conference,
Brussels, Belgium.
Silva, R. N., Lemos, J., and Rato, L. (2003). Variable sam-
pling adaptive control of a distributed collector solar
field. In IEEE Trans. Control Systems Technology,
volume 11(5), pages 765–772.
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