分布定数系に対する低感度最適フィ-ドバック系の設計

概要

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In this paper synthesis of low sensitivity optimal feedback configuration for distributed parameter systems is discussed.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.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.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.Finally, the theory discussed above is applied to a modal control system.
公益社団法人計測自動制御学会の論文