Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems

被引：21

作者：

Caponetto, Riccardo ^{[1
]}

Maione, Guido ^{[2
]}

Pisano, Alessandro ^{[3
]}

Rapaic, Milan R. ^{[4
]}

Usai, Elio ^{[3
]}

机构：

[1] Univ Catania, Dept Elect Elect & Syst Engn DIEEI, I-95125 Catania, Italy

[2] Polytech Bari, Dept Elect & Elect Engn DEE, I-70125 Bari, Italy

[3] Univ Cagliari, Dept Elect & Elect Engn DIEE, I-09123 Cagliari, Italy

[4] Univ Novi Sad, Automat & Control Syst Dept, Novi Sad 21000, Serbia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2013年 / 16卷 / 01期

关键词：

fractional-order systems; periodic solutions; relay feedback control systems; describing function; locus of a perturbed relay system; SLIDING MODE CONTROL;

D O I：

10.2478/s13540-013-0007-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with Single-Input-Single-Output (SISO) fractional order systems with a discontinuous relay control element in the feedback loop. Stable self-sustained oscillations often occur in the closed loop relay system, and this work takes advantage of Describing Function (DF) analysis and of another more accurate approach, called Locus of a Perturbed Relay System (LPRS) method, for analyzing in the frequency domain the characteristics of the limit cycle oscillations. The use of fractional lead compensator is also suggested for the purpose of shaping the characteristics of the limit cycle. The proposed analysis and design procedures will be supported by thoroughly discussed simulation examples.

引用

页码：93 / 108

页数：16

共 21 条

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