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Willis环状脑动脉瘤系统的自适应模糊控制
引用本文:周凤燕,李医民.Willis环状脑动脉瘤系统的自适应模糊控制[J].数学的实践与认识,2006,36(11):77-83.
作者姓名:周凤燕  李医民
作者单位:1. 绍兴文理学院数学系,浙江,绍兴,312000
2. 江苏大学理学院数学系,江苏,镇江,212013
基金项目:江苏省教育厅自然科学基金
摘    要:针对不确定非线性生物系统—W illis环状脑动脉瘤系统,利用高斯型模糊逻辑系统的逼近能力及新构造的Lyapunov函数,基于模糊建模提出了一种自适应模糊控制器设计的新方案.该方案把逼近误差引入到控制器设计条件中用以改善系统的动态性能.不但设计简单还保证了控制方法的鲁棒性与稳定性.通过反向传播算法调整模糊基函数参数及递归最小二乘法调整参数向量,θ更新控制律,实现了理想跟踪.从理论上研究了脑动脉瘤内血流速度的非线性行为及控制,具有实际意义.仿真结果表明该控制方法的有效性.

关 键 词:脑动脉瘤  生物系统  非线性系统  模糊建模  自适应模糊控制
修稿时间:2004年8月27日

Adaptive Fuzzy Control in the Nonlinear and Uncertain System of Aneurysm of Circle of Willis
ZHOU Feng-yan,LI Yi-min.Adaptive Fuzzy Control in the Nonlinear and Uncertain System of Aneurysm of Circle of Willis[J].Mathematics in Practice and Theory,2006,36(11):77-83.
Authors:ZHOU Feng-yan  LI Yi-min
Abstract:A fuzzy modeling-based adaptive control scheme is presented for a class of uncertain nonlinear biological system—The system of aneurysm of circle of Willis.The proposed scheme employs the approximation of Gaussian fuzzy logistic system and Lyapunov theory,and applys the approximation error in controller design conditions for better active property of the system.This design is easier but robustness and stability of the controller is ensured.By the method of BP algorithm and least-squares principle,respectively regulating the basic function parameter of FLS and parameter vector θ, renovate the control law and attain desired track.This paper theoretically discussed the nonlinear dynamic behavior and control of blood speed in aneurysm,which is of practical meaning.The effectiveness of the control scheme has been proven through three simulation figures.
Keywords:aneurysm  biomathematic system  nonlinear system  fuzzy modeling  adaptive fuzzy control
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