分布定数系に対する低感度最適フィードバック系の設計

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  • A Synthesis Method of Low Sensitivity Optimal Feedback Configuration for Distributed Parameter Systems
  • ブンプ テイスウケイ ニ タイスル テイ カンド サイテキ フィードバックケイ

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In this paper synthesis of low sensitivity optimal feedback configuration for distributed parameter systems is discussed.<br>First, sensitivity functions and their equations of optimal feedback configuration are defind and derived for the two types of system parameter variations; i. e., the ordinary system parameter variation and the variation of initial conditions.<br>Secondly, a quadratic performance index is defined for the sensitivity functions. The gradient function is derived for the feedback compensating operator which needs only the output signals of the plant concerned. Thus, a generalized gradient method can be applied to this problem.<br>Thirdly, the dynamical model for the main problem is given by a set of linear partial differential equations which are reduced to equivalent infinite dimensional ordinary differential equations.<br>Finally, the theory discussed above is applied to a modal control system.

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