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

When it comes to the minimax controller design, it would be extremely difficult to obtain such controllers in the nonlinear situations. One of the reasons is that the minimax controller should be robust against any kind of disturbances in the nonlinear situations. We propose a difficulty-free design...

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Bibliographic Details
Published inThe 2003 Congress on Evolutionary Computation, 2003. CEC '03 Vol. 3; pp. 1702 - 1707 Vol.3
Main Authors Imae, J., Ohtsuki, N., Kikuchi, Y., Kobayashi, T.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2003
Subjects
Control design
Control systems
Design methodology
Differential equations
Genetic programming
Minimax techniques
Nonlinear control systems
Nonlinear systems
Optimal control
Partial differential equations
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Summary:When it comes to the minimax controller design, it would be extremely difficult to obtain such controllers in the nonlinear situations. One of the reasons is that the minimax controller should be robust against any kind of disturbances in the nonlinear situations. We propose a difficulty-free design method of minimax control problems. First, based on the genetic programming and Jung's collective unconscious, This work presents a very 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 that the maximization process is not needed in the construction of minimax controllers. Then, some simulations are given to demonstrate the usefulness of the proposed design technique with the identification problem, and minimax control problems.
ISBN:0780378040
9780780378049
DOI:10.1109/CEC.2003.1299878