An Identification Genetic Algorithm for a Family of Duffing´s System
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| Format: | Artículo científico |
| Langue: | en |
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Instituto Politécnico Nacional
2003
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| _version_ | 1876465514861035520 |
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| author | Fortunato Flores Ando |
| author_facet | Fortunato Flores Ando |
| contents | An Identification Genetic Algorithm for a Family of Duffing´s System Fortunato Flores Ando Carlos Aguilar Ibáñez Miguel Santiago Suárez Castañón Francisco Cuevas de la Rosa Computación Chaos Reconstruction Genetic Algorithms Mechanical Oscillator This paper shows a simple way to recover the whole unknown parameters set of the Duffing`s oscillator byusing a genetic algorithm. The fact that the system is observable and constructible with respect to a suitableoutput helps in obtaining an integral parameterization of the output. Subsequently an integralparameterization of the output which depends upon the unknown parameters, and, a random estimation of theoutput is proposed, assuming that the set of unknown parameters are contained into a bounded set. Thisrandom estimation is chosen provided that the error between the actual output and the estimated outputminimizes the errors of a quadratic function. The minimization problem and the random estimations of theoutput are formulated directly in terms of a genetic algorithm. A population of chromosomes is codified withthe parameters of the Duffing`s oscillator system. A fitness function is established to evaluate thechromosomes, in such a way that it minimizes the errors of a quadratic function. The chromosomespopulation evolves till a fitness average threshold is obtained. This method is numerically possible and easyto implement in a digital computer. 2003 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61570204 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.2 Vol.7 |
| format | Artículo científico |
| id | redalyc_61570204 |
| institution | Redalyc |
| language | en |
| publishDate | 2003 |
| publisher | Instituto Politécnico Nacional |
| spellingShingle | An Identification Genetic Algorithm for a Family of Duffing´s System Fortunato Flores Ando Computación Chaos Reconstruction Genetic Algorithms Mechanical Oscillator An Identification Genetic Algorithm for a Family of Duffing´s System Fortunato Flores Ando Carlos Aguilar Ibáñez Miguel Santiago Suárez Castañón Francisco Cuevas de la Rosa Computación Chaos Reconstruction Genetic Algorithms Mechanical Oscillator This paper shows a simple way to recover the whole unknown parameters set of the Duffing`s oscillator byusing a genetic algorithm. The fact that the system is observable and constructible with respect to a suitableoutput helps in obtaining an integral parameterization of the output. Subsequently an integralparameterization of the output which depends upon the unknown parameters, and, a random estimation of theoutput is proposed, assuming that the set of unknown parameters are contained into a bounded set. Thisrandom estimation is chosen provided that the error between the actual output and the estimated outputminimizes the errors of a quadratic function. The minimization problem and the random estimations of theoutput are formulated directly in terms of a genetic algorithm. A population of chromosomes is codified withthe parameters of the Duffing`s oscillator system. A fitness function is established to evaluate thechromosomes, in such a way that it minimizes the errors of a quadratic function. The chromosomespopulation evolves till a fitness average threshold is obtained. This method is numerically possible and easyto implement in a digital computer. 2003 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61570204 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.2 Vol.7 |
| title | An Identification Genetic Algorithm for a Family of Duffing´s System |
| topic | Computación Chaos Reconstruction Genetic Algorithms Mechanical Oscillator |
| url | https://www.redalyc.org/articulo.oa?id=61570204 |