Sensor Fault Detection in Coupled Liquid Tank System
F. Kousar, M. Abid, A. Q. Khan
Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Science,
P. O. Nilore 45650, Islamabad, Pakistan
engr.farzanakousar@gmail.com , mabid@pieas.edu.pk , aqkhan@pieas.edu.pk
Abstract — As the field of automation is progressing, safer and
reliable systems are highly desirable. Any malfunction in the plant
result in reduced efficiency of the plant, reduced quality of the
product and sometimes may result into fatalities. Therefore fault
detection and process monitoring is becoming an integral part of
modern control systems. The coupled liquid tank system is an
experimental setup with nonlinear dynamics. The objective of this
paper is to develop and implement fault detection techniques for
coupled liquid tank system. The proposed scheme makes use of
observer based residual generation and norm based residual
evaluation. First system was linearized by Jacobian linearization
and fault diagnosis system has been designed for the linearized
system. Then this algorithm has been implemented on real plant
and satisfactory results have been obtained.
Keywords—Sensor fault detection, Observer based fault
detection, Model based, Couple liquid tank syste.
I. INTRODUCTION
The widely accepted concept is that a fault is an unexpected
change of system function although it may not represent
physical failure or breakdown [1]. This paper discusses sensor
faults. This is shown in figure below and can be described
mathematically as described in [1].
Figure 1: Sensors, outputs and measured outputs [1]
In other words, sensor faults disturb output measurements.
These faults can create problems if we use measured output to
further control some device.
There are many different approaches which are used for the
purpose of fault diagnosis. There are many survey papers that
describe the details of these techniques [2-8]. In [9], a
structured residual generation approach has been used for fault
detection as well as fault isolation purpose for a coupled tank
system. Among all these approaches, model based fault
diagnosis techniques are most commonly used. Model based
fault diagnosis can be defined as the detection, isolation and
characterization of faults in components of a system from the
comparison of the system's available measurements, with a
priori information represented by the system's mathematical
model. Faults are detected by setting a (fixed or variable)
threshold on a residual quantity generated from the difference
between real measurements and estimates of these
measurements using the mathematical model [1].
This paper is organized as follows: Section 2 contains
description about the plant, In Section 3; Mathematical model
of the system has been derived, in section 4, a brief overview
of fault diagnosis has been given. Section 5 deals with residual
generation step and section 6 deals with residual evaluation
stage. In section 7 contains results after implementing the
algorithm on real plant. Section 8 concludes the work.
II. DESCRIPTION OF PLANT
Coupled Liquid Tank System (CLTS) is an experimental setup
with highly nonlinear dynamics and is quite useful to test
nonlinear control and fault detection algorithm. It consists of
the cylindrical tanks with equal cross sectional area as shown
in figure 2. Detailed description of CLTS can be found in [10].
Each tank is equipped with a sensor to measure water level.
The plant can be used to simulate several kinds of faults; these
include
• Sensor faults
• Component faults: can be simulated by opening or
closing of valves
• Actuator faults
There is seepage in tanks which can be taken as disturbance. In
this paper, we shall discuss the detection of sensor faults.
Figure 2: Coupled liquid tank system
III. MATHEMATICAL MODELING
Cross sectional areas tank 1 and 3 do not vary with water level.
While cross sectional area of tank 2 varies with the water level.
Each tank basically acts as an integrator. Free flow out of each
tank is a non linear function of the level in the tank and orifice
discharge coefficient
. Different notations which are used
throughout the paper are described in Table 1.
2012 10th International Conference on Frontiers of Information Technology
978-0-7695-4927-9/12 $26.00 © 2012 IEEE
DOI 10.1109/FIT.2012.64
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