An Application of the Fuzzy Theory to an Analysis of Linear Systems
Project/Area Number  03805030 
Research Category 
GrantinAid for Scientific Research (C).

Research Field 
情報工学

Research Institution  Tottori University 
Principal Investigator 
OHKITA Masaaki Tottori Univ., Faculty of Engng., Assoc. Prof., 工学部, 助教授 (80032027)

Project Fiscal Year 
1991 – 1992

Project Status 
Completed(Fiscal Year 1992)

Budget Amount *help 
¥600,000 (Direct Cost : ¥600,000)
Fiscal Year 1992 : ¥600,000 (Direct Cost : ¥600,000)

Keywords  Walsh functions / Linear delay systems / Initial functions / Numerical analysis / Fuzzy theory / Membership functions / Manipulated variables / ウォルシュ関数 / むだ時間を含む線形システム / 初期関数 / 数値解法手順 / ファジィ推論 / メンバーシップ関数 / 操作量 / ハル関数 / 時間遅れを含む線形システム / メンバシップ関数 / 並列処理アルゴリズム 
Research Abstract 
The research results are summarized as follows : [1] Flowgraphs to compute termwise integrals of Walsh series have been developed. [2] The above flowgraph method has been introduced into the solution of the delay differential systems. In such a numerical analysis, the solutions are given in a form of piecewiselinear approximations. Hence, the accuracy is improved greatly comparing with that by the conventional Walsh approach. [3] In an analysis of a linear time invariant time delay system, the fuzzy control theory has been introduced. Because of the limited space of explanation, The fuzzy analysis of [3] is outlined as follows : The fuzzy control theory has been introduced into an analysis of time delay systems, in the concrete, an optimal regulator problem. Fuzzy variables used here are given in a continuous type and the membership functions are expressed in a form of triangles.In its introduction, the fuzzy control rules and the corresponding membership functions were set up considering both the present state and the previous states expressed by initial functions. The manipulated variables were determined and its controller was designed considering the present state x(t), the state with a time delay x(th) and minimization of the performance index.

Report
(4results)
Research Output
(15results)