Mustefa  Jibril, Nuriye  Hassen, Messay  Tadese, 
    Inverted Pendulum Control using NARMA-L2 with Resilient Backpropagation and Levenberg
Marquardt Backpropagation Training Algorithm,
    Journal of Engineering and Applied Sciences,
    Volume 16,Issue 10,
    2021,
    Pages 324-330,
    ISSN 1816-949x,
    jeasci.2021.324.330,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2021.324.330)
    Abstract: In this study, the performance of inverted
pendulum has been Investigated using neural network
control theory. The proposed controllers used in this study
are NARMA-L2 with resilient backpropagation and
Levenberg Marquardt backpropagation algorithm
controllers. The mathematical model of Inverted
Pendulum on a Cart driving mechanism have been done
successfully. Comparison of an inverted pendulum with
NARMA-L2 with resilient backpropagation and
Levenberg Marquardt backpropagation algorithm
controllers for a control target deviation of an angle from
vertical of the inverted pendulum using two input signals
(step and random). The simulation result shows that the
inverted pendulum with NARMA-L2 with resilient
backpropagation controller to have a small rise time,
settling time and percentage overshoot in the step
response and having a good response in the random
response too. Finally, the inverted pendulum with with
NARMA-L2 with resilient backpropagation controller
shows the best performance in the overall simulation
result.
    Keywords: resilient backpropagation;NARMA-L2;Inverted pendulum;Levenberg Marquardt backpropagation