Robust stabilizing regions of fractional-order PIλ controllers for fractional-order systems with time-delays

被引：10

作者：

Gao Z. ^{[1
]}

Zhai L.-R. ^{[1
,2
]}

Liu Y.-D. ^{[1
]}

机构：

[1] College of Light Industry, Liaoning University, Shenyang

[2] College of Information Science and Engineering, Northeastern University, Shenyang

来源：

International Journal of Automation and Computing | 2017年 / 14卷 / 03期

关键词：

Fractional-order systems; PI[!sup]λ[!/sup] (proportional integration) controllers; stability degree; stabilizing regions; time-delays;

D O I：

10.1007/s11633-015-0941-7

中图分类号：

学科分类号：

摘要：

This study focuses on a graphical approach to determine the stabilizing regions of fractional-order PIλ(proportional integration) controllers for fractional-order systems with time-delays. By D-decomposition technique, the existence conditions and calculating methods of the real root boundary (RRB) curves, complex root boundary (CRB) curves and infinite root boundary (IRB) lines are investigated for a given stability degree. The stabilizing regions in terms of the RRB curves, CRB curves and IRB lines are identified by the proposed criteria in this paper. Finally, two illustrative examples are given to verify the effectiveness of this graphical approach for different stability degrees. © 2015, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：340 / 349

页数：9

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