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Research on the stability of control systems described by fractional-order transfer functions

Zeng Qingshan Zhu Xinjian Cao Guangyi

高技术通讯(英文版)2005,Vol.11Issue(2):179-182,4.
高技术通讯(英文版)2005,Vol.11Issue(2):179-182,4.

Research on the stability of control systems described by fractional-order transfer functions

Research on the stability of control systems described by fractional-order transfer functions

Zeng Qingshan 1Zhu Xinjian 2Cao Guangyi1

作者信息

  • 1. Department of Automation,Shanghai Jiaotong University,Shanghai,200030,P.R.China
  • 2. School of Electric Engineering, Zhengzhou University,Zhengzhou,450002,P.R.China
  • 折叠

摘要

Abstract

The stability of control systems described by fractional-order transfer function form is mainly investigated. The stability analysis of integer-order linear systems was extended to the fractional-order control systems. The stability definition of fractional-order linear control systems is presented in terms of the Lyapunov's stability theory. Using the theorems of the Mittag-Leffler function in two parameters directly derives the stability conclusion. The illustrative examples are also given by simulation results.

关键词

fractional calculus/fractional-order transfer function/fractional-order control system/stability

Key words

fractional calculus/fractional-order transfer function/fractional-order control system/stability

引用本文复制引用

Zeng Qingshan,Zhu Xinjian,Cao Guangyi..Research on the stability of control systems described by fractional-order transfer functions[J].高技术通讯(英文版),2005,11(2):179-182,4.

基金项目

Supported by the High Technology Research and Development Programme of China (No. 2002AA517020) and Shanghai Science and Technology Development Funds (No. 011607033). (No. 2002AA517020)

高技术通讯(英文版)

OAEI

1006-6748

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