Notes on integral performance indices in fractional-order control systems

被引：78

作者：

Tavazoei, Mohammad Saleh ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran

来源：

JOURNAL OF PROCESS CONTROL | 2010年 / 20卷 / 03期

关键词：

Fractional-order system; Fractional-order controller; Integral performance index; IAE; ISE; ITAE; PI;

D O I：

10.1016/j.jprocont.2009.09.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Integral performance indices as quantitative measures of the performance of a system are commonly used to evaluate the performance of designed control systems. In this paper, it is pointed out that due to existence of non-exponential modes in the step response of a fractional-order control system having zero steady state error, integral performance indices of such a system may be infinite. According to this point, some simple conditions are derived to guarantee the finiteness of different integral performance indices in a class of fractional-order control systems. Finally, some numerical examples are presented to show the applicability of the analytical achievements of the paper. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：285 / 291

页数：7

共 24 条

[21] Some Applications of Fractional Calculus in Suppression of Chaotic Oscillations [J].