Analysis of the effect on control systems of order variation for fractional-orderPI~λD~μcontrollers  

作　　者：曾庆山 曹广益 朱新坚 

机构地区：[1]School of Electric Engineering Zhengzhou University, Zhengzhou 450002,China [2]Dept. of Automation, Shanghai Jiaotong University, Shanghai 200030, China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2005年第3期336-341,共6页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by Shanghai Science and Technology Development Funds (Grant No.011607033).

摘　　要：This paper is concerned with fractional-order PI~λD~μcontrollers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of a fractional-order controller and fractional-order control systems are outlined. The effects on control systems of order variation for fractional-order PI~λD~μ controllers are investigated by qualitative analysis and simulation. The conclusions and simulation examples are given. The results show the fractional-order PI~λD~μ controller is not sensitive to variation of its order.This paper is concerned with fractional-order PI^λ D^u controllers. The definitions and properties of fractional calculus are introdueed. The mathematical descriptions of a fraetional-order controller and fractionalorder control systems are outlined. The effects on control systems of order variation for fractional-order PI^λ D^u controllers are investigated by qualitative analysis and simulation. The conclusions and simulation examples are given. The results show the fraetional-order PI^λ D^u controller is not sensitive to variation of its order.

关 键 词：fractional calculus fractional-order control systems fractional-order PI~λD~μ controller characteristic polynomial 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]