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Parameters Modelling and Fuzzy Control System of Neonatal ...

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SETIT2009<br />

incubators have carried out numerical or experimental<br />

techniques [5, 8, 9]. The major objectives <strong>of</strong> these<br />

studies are heat losses <strong>of</strong> the neonate, temperature<br />

distribution, air flow, humidity control <strong>and</strong> a better<br />

insight <strong>of</strong> the thermal interactions between the neonate<br />

<strong>and</strong> its surrounding environment. In this paper, the<br />

problem <strong>of</strong> heat transfer modelling is tackled, in the<br />

perspective <strong>of</strong> robust temperature control.<br />

The rest <strong>of</strong> the paper is organized as follows. In the<br />

next section, the description <strong>of</strong> the process with<br />

relevant signals is presented. The thermal<br />

characterisation <strong>of</strong> the neonate <strong>and</strong> its environment is<br />

complex <strong>and</strong> not well understood. But, they determine<br />

the actual temperature in the incubator. A<br />

mathematical heat transfer model is presented in the<br />

section two. Our model is combining passive heat<br />

losses <strong>and</strong> active heat production both from internal<br />

(infant) <strong>and</strong> external sources. A robust control system<br />

is presented in the third section, followed in section<br />

four by simulation results validating our approach. We<br />

then present potential applications <strong>of</strong> our system.<br />

Finally, conclusions are addressed with attention<br />

paid to neur<strong>of</strong>uzzy control or energy efficiency as<br />

future work.<br />

1. Process description<br />

1.1. Neonate’s room<br />

It has been drawn in the figure 1 the simplified cross<br />

section <strong>of</strong> the chamber where babies are laid down.<br />

d<br />

w<br />

Figure 1. Room for babies. Arrows indicate heating<br />

air flow.<br />

Walls are in plexiglas or such kind <strong>of</strong> material. A<br />

mattress is sketched inside the room. The room is not<br />

hermetic. Many small holes are provided for air<br />

admission <strong>and</strong> expelling. There are also holes to<br />

connect other monitoring apparatus to the baby in the<br />

incubator. Room dimensions are approximately:<br />

Wall width d between 5 <strong>and</strong> 10 mm<br />

Height h between 40 <strong>and</strong> 80 cm<br />

Width w between 50 <strong>and</strong> 100 cm<br />

Length l between 70 <strong>and</strong> 150 cm<br />

The control system will be located at the bottom <strong>of</strong><br />

the room. Sensors are placed on air inlets <strong>and</strong> outlet or<br />

tapped on the infant skin.<br />

h<br />

1.2. Signals description<br />

1.2.1 Temperature<br />

Temperature is kept on a fixed value that medical<br />

staff can choose around values between 27 <strong>and</strong> 39°C.<br />

The precision around a setpoint Ts is ±δ where δ≤0.5<br />

°C. The temperature must be kept in these bounds<br />

though air is being renewed. If the temperature falls<br />

out <strong>of</strong> the bounds, an alarm should sound <strong>and</strong>/or<br />

display. Temperature is considered as the most critical<br />

parameter. Particularly, for preterm neonates, the<br />

internal control mechanisms <strong>of</strong> temperature are not<br />

well developed as in an adult <strong>and</strong> the survival depends<br />

on external control. For improving reliability, heating<br />

with resistors <strong>and</strong> redundant temperature sensing are<br />

proposed. For more universality <strong>of</strong> our system, the<br />

range <strong>of</strong> controlled temperature will be enlarged, as<br />

air, skin <strong>and</strong> core temperature (to name a few) will be<br />

controlled.<br />

1.2.2 Humidity<br />

The simplest way to moisten the room air is to<br />

force (by a fan) the air flux passing above a water tank<br />

before it goes through holes to babies’ room. The<br />

adjustment <strong>of</strong> the air-water contact surface leads to the<br />

hygrometric regulation. The value can be set to a point<br />

between 44 <strong>and</strong> 95%. Levels recommended in the<br />

literature are located between 65 <strong>and</strong> 90%. As till to<br />

now, this parameter needs not high precision, its<br />

adjustment is done sometimes manually. Humidity is<br />

linked to temperature. But the important point is to<br />

make sure that the fan is running. Otherwise, an alarm<br />

must sound. The alarm sounds also if water level in<br />

the tank is too low.<br />

1.2.3 Oxygen<br />

Oxygenation can be obtained without a particular<br />

effort with the air circulation. And holes are on the<br />

walls <strong>of</strong> the room. Oxygen consumption measurement<br />

can also inform on the metabolic heat production.<br />

1.2.4 Breathing signal<br />

The matter is that it happens for baby to "forget"<br />

breathing (apnoea). The outcome <strong>of</strong> this might be the<br />

death. One must then be sure the baby is breathing<br />

normally. Expelled <strong>and</strong> incoming air to lungs have<br />

different temperatures: thus, as a simple <strong>and</strong> low cost<br />

sensing system, current/potential difference variations<br />

across a thermistance located at the baby nose can be<br />

monitored. But the two temperatures can be very close<br />

<strong>and</strong> their difference is a time varying phenomenon.<br />

Moreover, baby’s movements constitute artifacts<br />

sources that can be superimposed to the signal. Preprocessing<br />

is useful to avoid false decision. An alarm<br />

is also needed here if the breathing is going wrong.<br />

1.2.5 Other signals<br />

Miscellaneous other signals, particularly from the<br />

baby body (weight, baby temperature,<br />

electrophysiological signals as ECG or EMG…) are<br />

now generally sensed <strong>and</strong> processed by powerful<br />

external equipments. They are foreseen in our system,<br />

but are not our concern for the moment<br />

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