Minimax Optimization in the Time Domain

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概要

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• A minimax optimization problem is introduced to design terminal controllers for generic dynamical systems without disturbances. The maximum amplitude of the output of the system is minimized over an interval by the control input with the prescribed maximum amplitude. The settling property of the output can be specified through a transformation of variables. Such important characteristics of the controlled system appear explicitly in the proposed problem as the maximum amplitude of the output, the maximum amplitude of the control input, and the settling property of the output. Therefore analytical specification can be obtained to evaluate the controlled response without recourse to numerical simulations. The minimum principle results in the necessary condition for the optimal control input and a two-point boundary-value problem (TPBVP) associated with the minimax optimization. Some analytical features of the TPBVP are discussed, and numerical examples are shown.

• 宇宙航空研究開発機構の論文

著者

• Ohtsuka Toshiyuki

  Graduate Student Department Of Aerospace Engineering

• Ohtsuka Toshiyuki

  Graduate School Of Engineering Osaka University

• FUJII Hironori

  Professor, Department of Aerospace Engieering

• Fujii Hironori

  Professor Department Of Aerospace Engieering

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