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Technical Brief

Dynamic High-Gain Observer to Estimate Pneumatic Actuator Temperatures

[+] Author and Article Information
A. Ayadi

Laboratory Lab-STA,
LR11ES50,
National School of Engineering of Sfax,
University of Sfax,
PB 1173,
Sfax 3038, Tunisia
e-mail: ayadiassil@yahoo.fr

S. Hajji

Laboratory Lab-STA,
LR11ES50,
National School of Engineering of Sfax,
University of Sfax,
PB 1173,
Sfax 3038, Tunisia
e-mail: hjjisfin@yahoo.fr

M. Smaoui

Laboratoire Ampere,
UMR CNRS 5005,
INSA-Lyon,
Université de Lyon,
Villeurbanne,
Lyon F-69621, France
e-mail: mohamed.smaoui@insa-lyon.fr

A. Chaari

Laboratory Lab-STA,
LR11ES50,
National School of Engineering of Sfax,
University of Sfax,
PB 1173,
Sfax 3038, Tunisia
e-mail: abdessattar2004@yahoo.fr

M. Farza

Laboratoire GREYC,
UMR CNRS 6072,
ENSICAEN,
Université de Caen,
Caen 14032, France
e-mail: mondher.farza@unicaen.fr

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received February 11, 2015; final manuscript received November 21, 2015; published online December 23, 2015. Assoc. Editor: Yang Shi.

J. Dyn. Sys., Meas., Control 138(2), 024503 (Dec 23, 2015) (7 pages) Paper No: DS-15-1065; doi: 10.1115/1.4032132 History: Received February 11, 2015; Revised November 21, 2015

This paper deals with the estimation of the actuator temperature in an electropneumatic system. First, an appropriate nonlinear system that accounts for the actuator temperature dynamics is introduced. Then in order to overcome the difficulty of installing temperatures sensors in each chamber of the actuator, two nonlinear high-gain observers are proposed to provide online estimate of these temperatures. The gain of both observers can be tuned by the choice of a scalar design parameter. However, the design parameter is constant for the first observer and its choice has to satisfy a compromise between an accurate estimation of the state estimation and a satisfactory sensitivity of the observer with respect to the unavoidable output noise measurements. This difficulty is overcome in the second observer since the scalar design parameter is time varying and is governed by a Riccatti differential equation. The involved adaptation process of the design parameter is mainly driven by the power of the output observation error norm computed on a moving horizon window. Simulation results are given to show the effectiveness of the proposed observers and in particular to compare the performance of both observers, namely, the accuracy of the respective estimates and their sensitivity with respect to noise measurements.

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References

Figures

Grahic Jump Location
Fig. 1

Electropneumatic system

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Fig. 2

Estimation of missing states with a value of θ = 30: (a) estimated velocity, (b) estimated pressure N, (c) estimated temperature P, and (d) estimated temperature N

Grahic Jump Location
Fig. 3

Estimation of missing states with a value of θ = 120: (a) estimated velocity, (b) estimated pressure N, (c) estimated temperature P, and (d) estimated temperature N

Grahic Jump Location
Fig. 4

Estimation of missing states with a dynamic design parameter: (a) estimated velocity, (b) estimated pressure N, (c) estimated temperature P, and (d) estimated temperature N

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