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Using Evolutionary Algorithms Incorporating the Augmented Lagrangian Penalty Function to Solve Discrete and Continuous Constrained Non-linear Optimal Control Problems

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Artificial Evolution (EA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2310))

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Abstract

Constrained Optimal Control Problems are notoriously difficult to solve accurately. Preliminary investigations show that Augmented Lagrangian Penalty functions can be combined with an Evolutionary Algorithm to solve these functional optimisation problems. Augmented Lagrangian Penalty functions are able to overcome the weaknesses of using absolute and quadratic penalty functions within the framework of an Evolutionary Algorithm.

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References

  1. Barbosa, H.J.C.: A Coevolutionary Genetic Algorithm for Constrained Optimization, Procedings of the 1999 Congress on Evolutionary Computation, Washington DC., pp 1605–1611.

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  2. Gill, P.E., Murray, W. and Wright, M.H.: Practical Optimization, Academic Press, (1981).

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  3. Myung, H., Kim, J-H.: Constrained Optimization Using Two-Phase Evolutionary Programming Proceedings IEEE International Conference on Evolutionary Computation, Nagoya, Japan. pp. 262–267.

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  4. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs Springer Verlag, Berlin, (1992).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Mathematics and Decision Sciences Faculty of Informatics and Communications, Central Queensland University, Queensland, Rockhampton, Australia

    Stephen Smith

Authors
  1. Stephen Smith
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Editor information

Editors and Affiliations

  1. Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau Cedex, France

    Pierre Collet

  2. LIL, Université du Littoral — Côte d’Opale, BP 719, 62228, Calais Cedex, France

    Cyril Fonlupt

  3. LERIA, Université d’Angers, 2 Boulevard Lavoisier, 49045, Angers Cedex 01, France

    Jin-Kao Hao

  4. Projet FRACTALES, INRIA Rocquencourt, Domaine de Voluceau, BP 105, 78153, Le Chesnay Cedex, France

    Evelyne Lutton  & Marc Schoenauer  & 

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© 2002 Springer-Verlag Berlin Heidelberg

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Smith, S. (2002). Using Evolutionary Algorithms Incorporating the Augmented Lagrangian Penalty Function to Solve Discrete and Continuous Constrained Non-linear Optimal Control Problems. In: Collet, P., Fonlupt, C., Hao, JK., Lutton, E., Schoenauer, M. (eds) Artificial Evolution. EA 2001. Lecture Notes in Computer Science, vol 2310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46033-0_24

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  • DOI: https://doi.org/10.1007/3-540-46033-0_24

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43544-0

  • Online ISBN: 978-3-540-46033-6

  • eBook Packages: Springer Book Archive

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