摘要
针对在实际情况中应用越来越广泛的分数阶微积分系统,首先介绍了分数阶微积分定义及其基本性质.由于分数阶系统的特征方程一般说来不是真正的多项式,它是一个具有复变量的分数阶指数的伪多项式,可以将其近似化成高阶的整数阶系统,然后运用整数阶系统的控制方法去研究、分析.最后提出了一种基于分数阶微积分定义分析分数阶线性系统的方法,并用具体实例验证了该方法的有效性.
Defines the factional order calculus and clarifies its basic characteristics because the fractional order systems have been used much wider than before in application. Generally the characteristic equation of a fractional order system is not a real polynomial but a pseudo-polynomial function of complex variable with fractional exponent, which can be approximated and converted into a high-order integral exponent system so as to study it by existing control approaches. A method is thus proposed to analyze fractional order linear systems on the basis of the definition of fractional calculus, and its effectiveness is verified via a simulation example.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第1期10-13,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
线性系统
拉氏变换
近似化
fractional order
calculus
linear system
Laplace transform
approximation
