CAJ | 학술논문

通过应用边缘线性化模糊推理建模方法，求解得到了自治Lienard系统的简化HX表示。利用模糊系统的插值机理得到的简化HX表示，把模糊规则转化为可逐段求解的常系数线性微分方程。相比于已有文献方法，新方法的计算时空复杂度得到极大简化。最后结合仿真实验，验证了简化方法的有效性，说明随着分段数的增加得到更高的逼近精度，而运行时间却很短。
통과응용변연선성화모호추리건모방법，구해득도료자치Lienard계통적간화HX표시。이용모호계통적삽치궤리득도적간화HX표시，파모호규칙전화위가축단구해적상계수선성미분방정。상비우이유문헌방법，신방법적계산시공복잡도득도겁대간화。최후결합방진실험，험증료간화방법적유효성，설명수착분단수적증가득도경고적핍근정도，이운행시간각흔단。
By applying the fuzzy modeling of marginal linearization , a simplified HX representation for autono-mous Lienard system is proposed.The simplified HX representation based on the interpolation mechanism of fuzzy system transfers the fuzzy rules into piecewise constant coefficient linear differential equation .Compared to the existing literature methods , the novel method of time complexity and space complexity is greatly simpli-fied.Finally, the simulation experiments for Lienard system verify the validity of the simplified method.The results show that it has higher approximation precision , and the running time is very short.