Observer-based control for fractional-order singular systems with order <italic style="font-style: italic">α</italic>(0&lt;<italic style="font-style: italic">α</italic>&lt;1) and input delay

Bingxin LI; Xiangfei ZHAO; Xuefeng ZHANG; Xin ZHAO

doi:10.1631/FITEE.2200294

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Observer-based control for fractional-order singular systems with order α(0<α<1) and input delay

Regular Papers | Updated：2022-12-16

- Observer-based control for fractional-order singular systems with order α(0<α<1) and input delay
- 输入时滞分数阶(0<α<1)奇异系统的观测器控制
- Frontiers of Information Technology & Electronic Engineering Vol. 23, Issue 12, Pages: 1862-1870(2022)
- Affiliations：
  
  1.Institute of Robotics and Automatic Information System, Nankai University, Tianjin 300071, China
  2.Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin 300071, China
  3.College of Sciences, Northeastern University, Shenyang 110819, China
  4.Shenzhen Research Institute of Nankai University, Shenzhen 518083, China
- Author bio：
  
  E-mail: libingxin2017@163.com;
  1120170124@mail.nankai.edu.cn;
  zhangxuefeng@mail.neu.edu.cn;
  ‡Corresponding author
- Funds：
- DOI：10.1631/FITEE.2200294
  CLC： O23
- Received：07 July 2022，
  
  Accepted：18 November 2022，
  
  Published：0 December 2022
- Accepted：
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Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, et al. Observer-based control for fractional-order singular systems with order α(0<α<1) and input delay[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(12): 1862-1870.
DOI：

Bingxin LI, Xiangfei ZHAO, Xuefeng ZHANG, et al. Observer-based control for fractional-order singular systems with order α(0<α<1) and input delay[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(12): 1862-1870. DOI： 10.1631/FITEE.2200294.

摘要

本文研究输入时滞分数阶 (0

1) 奇异系统的观测器控制问题。基于史密斯预测器和逼近误差，有输入时滞的系统近似等价于无输入时滞的系统。进一步地，基于线性矩阵不等式方法，提出基于观测器控制的充要条件。该条件由于包含等式约束，因此是非严格线性矩阵不等式条件，在使用工具箱求解时会遇到一些麻烦。因此，本文改进了基于严格线性矩阵不等式的条件。最后，通过数值算例和直流电机实例说明了基于严格线性矩阵不等式的条件的有效性。

Abstract

In this paper

observer-based control for fractional-order singular systems with order

(

) and input delay is studied. On the basis of the Smith predictor and approximation error

the system with input delay is approximately equivalent to the system without input delay. Furthermore

based on the linear matrix inequality (LMI) technique

the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI

including the equality constraint

it will lead to some trouble when solving problems using toolbox. Thus

the strict LMI-based condition is improved in the paper. Finally

a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.

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Observer-based control for fractional-order singular systems with order α(0<α<1) and input delay

DOI：10.1631/FITEE.2200294

摘要

Abstract

关键词

Keywords

references