Fault-tolerant control against actuator failures for uncertain singular fractional order systems

Xuefeng Zhang; Yingbo Zhang

doi:10.3934/naco.2020011

Article Contents

2021, Volume 11, Issue 1: 1-12. Doi: 10.3934/naco.2020011

This issue Previous Article Next Article Decoupling of cubic polynomial matrix systems

Fault-tolerant control against actuator failures for uncertain singular fractional order systems

Xuefeng Zhang^, and
Yingbo Zhang

School of Sciences, Northeastern University, Shenyang 110819, China

^* Corresponding author: Xuefeng Zhang
^* Corresponding author: Xuefeng Zhang

Received: May 2019

Revised: August 2019

Early access: February 2020

Published: March 2021

The first author is supported by NSFC under grant 61603055

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Abstract

A method of designing observer-based feedback controller against actuator failures for uncertain singular fractional order systems (SFOS) is presented in this paper. By establishing actuator fault model and state observer, an observer-based fault-tolerant state feedback controller is developed such that the closed-loop SFOS is admissible. The controller designed by the proposed method guarantees that the closed-loop system is regular, impulse-free and stable in the event of actuator failures. Finally, a numerical example is given to illustrate the effectiveness of the proposed design method.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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Figure 1. State responses of the closed-loop system in Example 1 with $ u(t) = 0. $

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Figure 2. Observation errors of the selected system in Example 1 with $ u(t) = Kx(t). $

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Figure 3. State responses of the closed-loop system in Example 1 with $ u(t) = Kx(t). $

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