Modeling, Identification and Control of Irrigation Station with Sprinkling: Takagi-Sugeno Approach - Complex System Modelling and Control Through Intelligent Soft Computations - page 481

Fig. 16 Comparison between
measured and estimated flow

Lemma 1:
A linear dynamic system is stable if and only if, isolated from its equilibrium
position by an external request, the system returns to this position when the
request ceased (Eivd 2005 ).

￿

Lemma 2:
A discrete linear dynamic system is stable, if and only if, all poles of transfer
function are located inside the unit disc.

￿

p j \ 1 ð 38 Þ

Initially, we referring to lemma 1 we will test the stability of irrigation station
model by impulse response which gives Fig. 17 :

Fig. 17 Impulse response of the system