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GPS-X Technical Reference

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17 Modelling Fundamentals<br />

Experiment<br />

Model<br />

An experiment is the process of extracting data from a system through manipulation of<br />

the inputs.<br />

Experimentation is probably the single most important concept of a system; for it is<br />

through experimentation that we develop a better understanding of it. Experimentation<br />

implies that two basic properties of a system are being used:<br />

1. Controllability, and<br />

2. Observability<br />

To perform an experiment implies the application of a set of external conditions to the<br />

inputs of a system (i.e. the accessible inputs) and observe the reaction of the system by<br />

recording the behaviour of the outputs (i.e. the accessible outputs). This is where some of<br />

the advantages of a system begin to appear. One of the major advantages of<br />

experimenting with a "simulated" system as opposed to the "actual" or "real" system, is<br />

that real systems are usually under the influence of a large number of additional<br />

inaccessible inputs (i.e., disturbances) and that a number of useful outputs may not be<br />

available through measurement (i.e., they are internal states of the system).<br />

One of the major motivations for simulation is that in the simulation world, all inputs and<br />

outputs are accessible. This allows the execution of simulations that lie outside the range<br />

of experiments that are applicable to the real system.<br />

A model is an<br />

abstraction of a<br />

system<br />

One definition of a model is: A model is an approximation of a system to which an<br />

experiment can be applied to answer questions about the system.<br />

A model does not imply a computer program. We should be clear to distinguish between<br />

a model and a computer program. A model could be a piece of hardware or simply an<br />

understanding of how a system works. Models are often coded into computer programs.<br />

Why is Modelling Important<br />

Modelling means the process of organizing knowledge about a given system. By<br />

performing experiments, knowledge about a system is gathered. In the beginning the<br />

knowledge is unstructured. By understanding the cause and effect relationships and<br />

by placing observation in both a temporal and spatial order, the knowledge gathered<br />

during the experiment is organized. Thus, the system is better understood by the<br />

process of modelling.<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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