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不确定广义分数阶系统的鲁棒镇定性

张雪峰 靳凯净

曲阜师范大学学报(自然科学版)2020,Vol.46Issue(3):55-62,8.
曲阜师范大学学报(自然科学版)2020,Vol.46Issue(3):55-62,8.DOI:10.3969/j.issn.1001-5337.2020.3.055

不确定广义分数阶系统的鲁棒镇定性

Robust stabilization of uncertain singular fractional order systems

张雪峰 1靳凯净1

作者信息

  • 1. 东北大学理学院,110819,辽宁省沈阳市
  • 折叠

摘要

Abstract

Admissibility and robust stabilization issues for uncertain singular fractional order systems (SFOSs)are difficult and interesting.In this paper,firstly,for the closed-loop system,the sufficient condition of robust stabilization is presented by applying state feedback controller.Next,on account of the way of singu-lar value decomposition (SVD)of matrix and linear matrix inequality (LMI)technique,a new result in the form of LMI is developed by the static output feedback controller for the SFOSs.Finally,two numerical exam-ples are given to verify the effectiveness of the proposed methods.

关键词

广义分数阶系统/容许性/状态反馈控制/输出反馈控制

Key words

Singular fractional order systems/admissibility/state feedback control/output feedback control

分类

信息技术与安全科学

引用本文复制引用

张雪峰,靳凯净..不确定广义分数阶系统的鲁棒镇定性[J].曲阜师范大学学报(自然科学版),2020,46(3):55-62,8.

曲阜师范大学学报(自然科学版)

1001-5337

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