求解模糊非线性系统  

Solution on fuzzy nonlinear system

作　　者：彭晓华[1] 屠兴汉[1] 

机构地区：[1]辽宁工程技术大学数学与系统科学研究所,辽宁阜新123000

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第5期775-777,共3页Journal of Liaoning Technical University (Natural Science)

摘　　要：为了解决模糊非线性系统的求解问题,采用一种模糊数的参数表示方法,将模糊非线性系统转化为参数系统,然后基于拟牛顿法,构造一种新的求解非线性系统的方法。经过实例验证,结果表明:该方法在避免了对参数系统求导的情况下,收敛速仍然十分快速。该成果对模糊工程学,模糊控制理论具有一定的参考价值和指导意义。In order to provide a new solution for fuzzy nonlinear system,a new method is proposed in this study. A parametric form of fuzzy numbers is used to transform a nonlinear system into a parametric system,and then the parametric system is solved using a qusi-Newton method. A case study in engineering field demonstrates that the method avoids the calculation of partial derivative and the convergence speed is very fast. This study is very useful and is of significance for fuzzy engineering and fuzzy control theory.

关 键 词：模糊非线性系统 拟牛顿法 参数系统 

分 类 号：O159[理学—数学]