PID step response using genetic programming

Authors:
Marcus Henrique Soares Mendes;Gustavo Luís Soares;João Antônio de Vasconcelos
Affiliations:
Universidade Federal de Viçosa, Florestal, MG, Brasil and Evolutionary Computation Laboratory, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brasil;Pontifícia Universidade Católica de Minas Gerais, Belo Horizonte, MG, Brasil;Evolutionary Computation Laboratory, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brasil
Venue:
SEAL'10 Proceedings of the 8th international conference on Simulated evolution and learning
Year:
2010

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Abstract

This paper describes an algorithm that generates analytic functions for PID step response characteristics (i. e. rise time, overshoot, settling time, peak time and integral of time weighted absolute error) in an application of a third-order plant. The algorithm uses genetic programming for symbolic regressions and provides formal expressions composed of variables, constants, elementary operators and mathematical functions. Results show a good fitting between the desired and obtained step response for DC motor positioning problem.