Improved model reduction and tuning of fractional-order PI(λ)D(μ) controllers for analytical rule extraction with genetic programming

This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.Genetic algorithm (GA) has been used in this study for a new approach of suboptimal model reduction in the Nyquist plane and optimal time domain tuning of proportional-integral-derivative (PID) and fractional-order (FO) PI(λ)D(μ) controllers. Simulation studies show that the new Nyquist-based model reduction technique outperforms the conventional H(2)-norm-based reduced parameter modeling technique. With the tuned controller parameters and reduced-order model parameter dataset, optimum tuning rules have been developed with a test-bench of higher-order processes via genetic programming (GP). The GP performs a symbolic regression on the reduced process parameters to evolve a tuning rule which provides the best analytical expression to map the data. The tuning rules are developed for a minimum time domain integral performance index described by a weighted sum of error index and controller effort. From the reported Pareto optimal front of the GP-based optimal rule extraction technique, a trade-off can be made between the complexity of the tuning formulae and the control performance. The efficacy of the single-gene and multi-gene GP-based tuning rules has been compared with the original GA-based control performance for the PID and PI(λ)D(μ) controllers, handling four different classes of representative higher-order processes. These rules are very useful for process control engineers, as they inherit the power of the GA-based tuning methodology, but can be easily calculated without the requirement for running the computationally intensive GA every time. Three-dimensional plots of the required variation in PID/fractional-order PID (FOPID) controller parameters with reduced process parameters have been shown as a guideline for the operator. Parametric robustness of the reported GP-based tuning rules has also been shown with credible simulation examples.This work has been supported by the Department of Science and Technology (DST), Government of India, under the PURSE programme

Programação genética aplicada à identificação de acidentes de uma usina nuclear PWR

This work presentes the results of the study that evaluated the efficiency of the evolutionary computation algorithm genetic programming as a technique for the optimization and feature generation at a pattern recognition system for the diagnostic of accidents in a pressurized water reactor nuclear power plant. The foundations of a typical pattern recognition system, the state of the art of genetic programming and of similar accident/transient diagnosis systems at nuclear power plants are also presented. Considering the set of the time evolution of seventeen operational variables for the three accident scenarios approached, plus normal condition, the task of genetic programming was to evolve non-linear regressors with combination of those variables that would provide the most discriminatory information for each of the events. After exhaustive tests with plenty of variable associations, genetic programming was proven to be a methodology capable of attaining success rates of, or very close to, 100%, with quite simple parametrization of the algorithm and at very reasonable time, putting itself in levels of performance similar or even superior as other similar systems available in the scientific literature, while also having the additional advantage of requiring very little pretreatment (sometimes none at all) of the dataNeste trabalho são apresentados os resultados do estudo que avaliou a performance do algoritmo de computação evolucionária programação genética como ferramenta de otimização e geração de atributos em um sistema de reconhecimento de padrões para identificação e diagnóstico de acidentes de uma usina nuclear com reator de água pressurizada. São apresentados ainda as bases de um sistema de reconhecimento de padrões, o estado da arte da programação genética e de sistemas similares de diagnóstico de acidentes e transientes de usinas nucleares. Dentro do conjunto da evolução temporal de 17 variáveis operacionais dos três acidentes/transientes considerado, além da condição normal, a função da programação genética foi evoluir regressores não lineares de combinações dessas variáveis que fornecessem o máximo de informação discriminatória para cada um dos eventos. Após testes exaustivos com diversas associações de variáveis, a programação genética se mostrou uma metodologia capaz de fornecer taxas de acerto de, ou muito próximas de, 100%, com parametrizações do algoritmo relativamente simples e em tempo de treinamento bastante razoável, mostrando ser capaz de fornecer resultados compatíveis e até superiores a outros sistemas disponíveis na literatura, com a vantagem adicional de requerer pouco (e muitas vezes nenhum) pré-tratamento nos dados