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Fig. 17 Robustness of the
external disturbance rejection:
speed tracking error
0.5
External load disturbance rejection
0.25
0
-0.25
-0.5
0
10
20
30
40
50
60
70
Acquisition time (sec)
Globally, the obtained simulation and experimental results for the considered
ISE and MO criteria are satisfactory. Others performance criteria, such as gain and
margin speci
cations (Azar and Serrano 2014 ), can be used in order to improve the
robustness and ef
ciency of the proposed fuzzy control approach.
5 Conclusion
A new method for tuning the scaling factors of Mamdani fuzzy controllers, based
on advanced metaheuristics, is proposed and successfully applied to an electrical
DC drive speed control. This ef
cient metaheuristics-based tool leads to a robust
and systematic PID-type fuzzy control design approach. The comparative study
shows the ef
ciency of the proposed techniques in terms of convergence speed and
quality of the obtained solutions. This hybrid PID-type fuzzy design methodology
is systematic, practical and simple without need to exact analytical plant model
description. The obtained simulation and experimental results show the ef
ciency in
terms of performance and robustness. All used DSA, GSA, ABC and PSO tech-
niques produce near results in comparison with each others. Small degradations
are always marked by going from one technique to another. The application of the
proposed control approach, for more complex and non linear systems, constitutes
our future works. The tuning of other fuzzy control structures, such as those
described by Takagi-Sugeno inference mechanism, will be investigated.
 
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