Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation

Zahra Sadat AGHAYAN; Alireza ALFI; J. A. TENREIRO MACHADO

doi:10.1631/FITEE.2000438

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Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation

Regular Papers | Updated：2022-01-05

- Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation
- 执行器饱和条件下不确定的中立型分数阶时滞系统的稳定性分析
- Frontiers of Information Technology & Electronic Engineering Vol. 22, Issue 10, Pages: 1402-1412(2021)
- Affiliations：
  
  Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
  Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida 431, Porto 4249-015, Portugal
- Author bio：
  
  Alireza ALFI, E-mail: a_alfi@shahroodut.ac.ir
- Funds：
- DOI：10.1631/FITEE.2000438
  CLC： O231
- Received：30 August 2020，
  
  Revised：2021-;8-;6，
  
  Accepted：29 November 2020，
  
  Published Online：18 September 2021，
  
  Published：2021-10
- Accepted：
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Zahra Sadat AGHAYAN, Alireza ALFI, J. A. TENREIRO MACHADO. Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(10): 1402-1412.
DOI：

Zahra Sadat AGHAYAN, Alireza ALFI, J. A. TENREIRO MACHADO. Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(10): 1402-1412. DOI： 10.1631/FITEE.2000438.

摘要

分析了执行器饱和条件下中立型分数阶时滞系统的鲁棒稳定性问题。构建了一个Lyapunov-Krasovskii（LK）函数，并给出此类系统的渐近鲁棒稳定性条件，这些条件使用Lyapunov直接方法构造的线性矩阵不等式（LMIs）表示。引入一种算法计算状态反馈控制器的增益以扩展吸引域。数值示例验证了理论结果。

Abstract

This study analyzes the problem of robust stability of fractional-order delay systems of neutral type under actuator saturation. A Lyapunov--Krasovskii (LK) function is constructed and conditions of the asymptotic robust stability of such systems are given

which are formulated by linear matrix inequalities (LMIs)

using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.

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