Fuzzy Circuit Analysis

Abstract

Environmental condition, unknown effects over circuit and vague value of<br><br>elements are main factors for paying to fuzzy variables in circuit analysis.<br><br>This paper presents a new viewpoint in circuit solving with meanings of fuzzy<br><br>current, voltage and so on or fuzzy values. From this standpoint, circuit is<br><br>converted to a fuzzy differential equation with fuzzy variables (FDE-FV).<br><br>Two conventional types of fuzzy derivatives are used in circuit analysis. This<br><br>paper appropriates to explain uncertainty in current in resistance-inductor<br><br>(RL) circuit for the first time. Existing uncertainty in memory cell is studied<br><br>using fuzzy differential equation. Result of RL circuit analysis with fuzzy<br><br>current shows that depend on type of excitation, suitable definition of fuzzy<br><br>derivative must be used. Circuit behavior is justified using FDEs as well as in<br><br>experimental works.