CAJ | 학술논문

本文给出了二阶时变非线性系统的边缘线性化建模方法。该方法根据模糊插值机理将被控对象的模糊推理规则库依时间维度进行划分转化为变系数非线性微分方程。在每个时间间隔内，依据边缘线性化方法，将局部时空结构下的变系数非线性微分方程转化为了常系数线性微分方程，进而迁移到整体时空结构下则成为变系数线性时变微分方程。仿真实验表明，该方法具有较高的逼近精度，是对模糊推理建模的有效推广。
본문급출료이계시변비선성계통적변연선성화건모방법。해방법근거모호삽치궤리장피공대상적모호추리규칙고의시간유도진행화분전화위변계수비선성미분방정。재매개시간간격내，의거변연선성화방법，장국부시공결구하적변계수비선성미분방정전화위료상계수선성미분방정，진이천이도정체시공결구하칙성위변계수선성시변미분방정。방진실험표명，해방법구유교고적핍근정도，시대모호추리건모적유효추엄。
In this paper , the marginal linearization modeling is employed to the second order time -varying nonlinear system.Based on the fuzzy interpolation mechanism of fuzzy inference rule base , the nonlinear dif-ferential equations with variable coefficients are established , which use the time dimension to divide into some periods.In each time interval , based on the marginal linearization method , the local space -time structure nonlinear differential equations with variable coefficients transformed into the constant coefficient linear differ -ential equations.Migrated to the whole space-time structure is linear time -varying differential equation with variable coefficients.Simulation results show that the method has high approximation accuracy , and it is an ef-fective promotion for the fuzzy inference modeling.