Modeling for Dynamic Systems with Fuzzy Sequential Knowledge
Ichiro Takeuchi, Takeshi Furuhashi · Studies in fuzziness and soft computing · 2001
This paper presents a fuzzy modeling method for dynamic systems, focusing on the knowledge representation framework. The basic idea lies in the use of “fuzzy” sequential knowledge for the description of dynamic characteristics of a system. Symbolic Dynamic System(SDS), a model for symbolic sequences, is extended to deal with “fuzzy” symbolic sequences. This approach introduces topological nature into the symbolic sequences, which allows an interpretation of the knowledge in numerical forms. The model consists of a mixture of sub-models and represents dynamic characteristics by fuzzy transitions among those sub-models. The parameter estimation algorithm, which performs steepest gradient descent in cost functions defined with fuzzy constraints, is presented. Numerical experiments demonstrate the feasibility of the proposed method.