定性的システム同定法の提案 : (1)定性的な状態の推定

抄録

This paper and succeeding paper [安部93] propose a method to identify Dynamical Systems qualitatively according to qualitative descriptions about a behavior of observed system. System Identification problem is well known especially in control theory. Several "Quantitative" methods have been reported to solve this problem. However, these methods can be applied to a small part of Dynamical Systems. Proposed method can be applied to a variety of Dynamical Systems for which "Quantitative" method can not be applied. This is realized by a kind of quantizing of Euclid space into Qualitative Value space. Proposed method performs the following two steps. (1) Identification of Qualitative States. (2) Identification of Qualitative Differencial Equations. This paper is focussed on the step (1). Qualitative State is a set of Qualitative Values and Qualitative Derivatives which characterize observed Dynamical System. Qualitative States must satisfy several constraints, namely, causal structure of the system. This paper propose a method to identify such Qualitative States according to temporal sequences of Qualitative Values. Assuming continuous behavior of systems, several mathematical relations between Qualitative Values and Qualitative Derivatives are also presented to derive this method.