Modeling, Identification and Control of Irrigation Station with Sprinkling: Takagi-Sugeno Approach - Complex System Modelling and Control Through Intelligent Soft Computations - page 482

Fig. 18 Location of discrete time system poles

The test of stability by placement of the poles in the discrete place of the poles,
gives Fig. 18 :
We noticed well that the model obtained is a model associated with a stable
system from where the poles modules are strictly lower than one.

4 Control of Irrigation Station with Sprinkling

4.1 Control of Station with PI Regulation

The irrigation station is equipped with a PI controller card which is provided by
LEROY-SOMMER, this controller ensures speci c control for the pumps. The

originators in the LEROY-SOMMER company (Sommer 1996 ), chooses the
parameters of following adjustments K p ¼ 0 : 5 T i ¼ 1m.

Us ðÞ 1

T i s ðÞ ¼

K p 1 þ ð 39 Þ

e s

The form of discrete regulator PI is given by (Chakchouk et al. 2014 ) (Fig. 19 ):

T i

þ

T

K p z 1

K p 1

r 1 z 1 Us ðÞ r 0 þ r 0 z þ r 1

ðÞ ¼

¼ ¼ ð 40 Þ

z 1 z 1

e s 1 1 z 1