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Optimal Control of an Inverted Pendulum by Genetic Programming: Practical Aspects

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Abstract

During the past several years, numerous papers and applications designing control systems with genetic algorithms (GAs) have been written. Many of these studies end when the simulated behaviour of the system with the controller is satisfactory. They suppose that the final stage of application of the controller to the real system will be similar to the one from the traditional design.

This paper explains the conclusions of the real application of one such publication: the control of an inverted pendulum using a well-known variant of GAs: genetic programming (GP). The aim of this paper is to study the existence of possible special problems in the application stage of genetic-designed controllers. As will be seen, the application stage is more difficult for GAs than for traditional methods, and more knowledge is needed about the system.

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References

  1. T. Álamo, F. Gordillo, and J. Aracil. Robust fuzzy control using genetic algorithms. In Proc. Third European Congress on Intelligent Computing, EUFIT’95, pages 781–785. Aachen, Germany, 1995.

    Google Scholar 

  2. B.D.O. Anderson. Optimal Control. Linear Quadratic Methods. Prentice-Hall, New Jersey, CA, 1990.

    MATH  Google Scholar 

  3. M.G. Cooper and J.J. Vidal. Genetic design of fuzzy controllers. In Proc. 2nd Int. Conference on Fuzzy Theory and Technology. Durham, NC, 1993.

    Google Scholar 

  4. P.J. Fleming and C.M. Fonseca. Genetic algorithms in control systems engineering. In Proceedings of the IFAC 1993 World Congress. Sydney, Australia, 1993.

    Google Scholar 

  5. J.R. Koza. The Genetic Programming Paradigm: Genetically Breeding Populations of Computer Programs to Solve Problems, pages 203–321. John Wiley & Sons, 1992.

    Google Scholar 

  6. M.G. Safonov and M. Athans. Gain and phase margin of multiloop lqg regulators. IEEE Trans, on Automatic Control, Apr. 1977.

    Google Scholar 

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© 1998 Springer-Verlag Wien

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Gordillo, F., Bernal, A. (1998). Optimal Control of an Inverted Pendulum by Genetic Programming: Practical Aspects. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6492-1_86

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  • DOI: https://doi.org/10.1007/978-3-7091-6492-1_86

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83087-1

  • Online ISBN: 978-3-7091-6492-1

  • eBook Packages: Springer Book Archive

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