Abstract
Second-order systems are those that respond to a second-order differential equation. The study of a second-order system is proposed, given by an RC electric circuit. The transfer equation was determined and the transient response was analyzed using the method of the Geometric Place of the Roots, likewise, the coefficients of the PID controller were determined. From the response of the PID controller, a backpropagation neural network was created and trained to later replace the classic PID controller. In this work, the analysis of a PID controller case study is carried out where an artificial neural network has been implemented to evaluate its response. It is observed that the results are acceptable and with good transient response.
Keywords: second-order plant, MATLAB, Geometric Root Place, Neural Network, Backpropagation.