BibTeX
@MISC{Laur_closed-loopcontroller,
author = {Sven Laur},
title = {Closed-Loop Controller Design},
year = {}
}
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Abstract
Closed-loop controllers use outputs of the system to improve overall stability and increase tolerance against external disturbances. The latter makes it possible to control inherently unstable systems. As expected, there are some important differences from open-loop controllers. Most importantly, we must distinguish between measurable outputs of the system and the properties we really want to control. As a result, it is convenient work directly with the internal state x[k], since the latter determines all modelled properties of the system. Now there are two important aspects to consider. Since the outputs of a system can be different form the relevant state variables, it is not clear whether we can estimate the values of xi[k] form the input and the output of a system. The corresponding property is known as observability. Formally, a system x[k + 1] = Ax[k] + Bu[k]
