Inverse Response Systems Identification using Genetic Programming

In this paper, we apply genetic programming as a tool for identifying an inverse response system. In previous works, the genetic programming has been used in the context of identification problems, where the goal is to obtain the descriptions of a given system. Identification problems have been studied much from control theory, due to their practical application in industry. In some cases, a description of a system in terms of mathematical equations is not possible, for these cases are necessary new heuristic approaches like the genetic programming. Here, we like to test the quality of the genetic programming to identify inverse response systems, which are systems where the initial response is in a direction opposite to the final outcome. The tool used to develop the model of identification is GPTIPS V2, we use our approach in two cases: in the first one, the equation that describes inverse response system is determined; and in the second case, the transfer function of the system in the frequency domain is found.