数式処理を用いた多項式のロバスト根配置とその制御系設計への応用(<論文特集>ロバスト計算と精度保証)

概要

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In this paper we propose a method using quantifier elimination to assign roots of a polynomial with parametric coefficients to a neighborhood of a set of specified points in the Gaussian plane. In particular, we consider robust root assignment problem dealing with the case where parameters in the polynomial have uncertainties. The method unables us to obtain feasible regions of root assignment exactly and to grasp how accurately one can assign polynomial roots to the specified regions. Moreover, we apply the method to robust pole assignment problem in feedback control, for which there are no systematically methods so far, and examine the tractability and practicality by showing experimental results. This would be an effective tool for a parameter space design by visualizing the feasible regions of pole assignment and feasible controller parameters for a feasible pole assignment.
日本シミュレーション学会の論文
2006-09-19