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

• 作 者: 曾庆山 朱新坚
• 机 构: School of Electric Engineering Zhengzhou University, Zhengzhou 450002,China,Dept. of Automation, Sha
• 出 处: Journal of Harbin Institute of Technology
• 发表日期: 2005年03期
• 关键词: fractional controllers integer polynomial invariant operators chaos arbitrary ca

This paper is concerned with fractional-order PI~λD~μcontrollers. 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.

The definitions and properties of fractional calculus are presented. 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.