Research Papers

Actuator Fault Estimation Based on Proportional Integral Observer for Discrete-Time Switched Systems

[+] Author and Article Information
Abdellah Benzaouia

Physics Department,
Faculty of Sciences Semlalia,
Cadi Ayyad University,
P. O. Box 2390,
Marrakesh 40 000, Morocco
e-mail: benzaouia@uca.ac.ma

Kenza Telbissi

Physics Department,
Faculty of Sciences Semlalia,
Cadi Ayyad University,
P. O. Box 2390,
Marrakesh 40 000, Morocco
e-mail: kenza.telbissi@gmail.com

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received February 19, 2018; final manuscript received September 28, 2018; published online November 22, 2018. Assoc. Editor: Yunjun Xu.

J. Dyn. Sys., Meas., Control 141(3), 031011 (Nov 22, 2018) (7 pages) Paper No: DS-18-1084; doi: 10.1115/1.4041639 History: Received February 19, 2018; Revised September 28, 2018

This paper presents a new approach of actuator fault estimation (FE) for discrete-time switched systems against unknown disturbance. The proposed FE approach uses a new switching observer methodology, which allows to obtain fast and exact fault information. Sufficient conditions are achieved by using multiple Lyapunov functional. These conditions are manipulated in a simple way in order to obtain a new linear matrix inequality (LMI) with slack variables and observer gains matrices. Finally, two illustrative examples are performed to prove the effectiveness of the proposed method.

Copyright © 2019 by ASME
Topics: Actuators , Scalars
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Grahic Jump Location
Fig. 1

The evolution of the switching signal α(k)

Grahic Jump Location
Fig. 2

Fault f1(k) (solid line) and its estimate f̂1(k) (dotted line) with the effect of d(k)

Grahic Jump Location
Fig. 3

Fault f2(k) (solid line) and its estimate f̂2(k) (dotted line) with the effect of d(k)

Grahic Jump Location
Fig. 5

The evolution of the water flow in the fault free case

Grahic Jump Location
Fig. 6

The evolution of the water flow in the presence of fault

Grahic Jump Location
Fig. 7

Fault f(k) (solid line) and its estimate f̂(k) (dotted line) with the effect of d(k)



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