Minimax control design for nonlinear systems based on genetic programming: Jung's collective unconscious approach

  • Authors:

  • J. Imae;N. Ohtsuki;Y. Kikuchi;T. Kobayashi

  • Affiliations:

  • Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Sakai 599-8531, Japan;Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Sakai 599-8531, Japan;Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Sakai 599-8531, Japan;Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Sakai 599-8531, Japan

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2004

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Abstract

When it comes to the minimax controller design, it would be extremely difficult to obtain such controllers in nonlinear situations. One of the reasons is that the minimax controller should be robust against any kind of disturbances in the nonlinear situations. In this paper, we propose a new type of design method of minimax control problems. More precisely, based on the genetic programming and the collective unconscious of Jung, this paper presents a simple design technique to solve the minimax control problems, where the minimax controller may be constructed only paying attention to the minimization process. It would be surprising if the maximization process is not needed in the construction of minimax controllers. Some simulations are given to demonstrate the effectiveness of the proposed design technique with the identification problem and minimax control problems.