Fractional-order systems and PI-λ-D-μ-controllers

被引：2455

作者：

Podlubny, I ^{[1
]}

机构：

[1] Tech Univ Kosice, BERG Fac, Dept Management & Control Engn, Kosice 04200, Slovakia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1999年 / 44卷 / 01期

关键词：

fractional-order controllers; functional-order systems; fractional differential equations; Laplace transforms; transfer functions;

D O I：

10.1109/9.739144

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Dynamic systems of an arbitrary real order (fractional-order systems) are considered, A concept of a fractional-order PI(lambda) D(mu)-controller, involving fractional-order integrator and fractional-order differentiator, is proposed. The Laplace transform formula for a new function of the Mittag-Leffer-type made it possible to obtain explicit analytical expressions for the unit-step and unit-impulse response of a linear fractional-order system with fractional-order controller both for the open and closed leap. An example demonstrating the use of the obtained formulas and the advantages of the proposed PI(lambda) D(mu)-controllers is given.

引用

页码：208 / 214

页数：7

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