摘要
分数阶系统的特征方程是一个具有复变量的分数阶指数的伪多项式,因此不能直接应用整数阶系统的控制方法·提出了一种分数阶系统的H∞控制器设计方法·首先利用提出的滤波器近似化方法近似分数阶系统·然后通过选择适当加权函数,根据要求设计H∞控制器·仿真表明,在用该方法得到的控制器的控制下,系统的特性有显著改善,动态响应也是令人满意的·实验结果显示此方法是有效的·
Because the characteristic equation of fractional order system is a pseudo-polynomlal function with exponential-type fractional orders of complex variable, the control of integer orders cannot be directly applied to it. A robust H∞ controller is therefore designed for fractional order system to which the filter approximation proposed is applied with a weighting function selected properly to meet the requirements for designing the H∞ controller, Simulation results indicate that the performance of the system thus controlled is significantly improved with dynamic behavior satisfactorily obtained. The effectiveness of the method proposed is verified through tests.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第11期1189-1192,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60475036).
关键词
分数阶微积分
分数阶系统
滤波器
近似化
H∞控制器
加权函数
fractional order calculus
fractional order system
filter
approximation
H∞ controller
weighting function
