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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 21, 2015 - Issue 3
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Original Articles

A dynamic modelling framework for control-based computing system design

, , &
Pages 251-271 | Received 02 May 2013, Accepted 05 Jul 2014, Published online: 31 Jul 2014
 

Abstract

This manuscript proposes a novel viewpoint on computing systems’ modelling. The classical approach is to consider fully functional systems and model them, aiming at closing some external loops to optimize their behaviour. On the contrary, we only model strictly physical phenomena, and realize the rest of the system as a set of controllers. Such an approach permits rigorous assessment of the obtained behaviour in mathematical terms, which is hardly possible with the heuristic design techniques, that were mainly adopted to date. The proposed approach is shown at work with three relevant case studies, so that a significant generality can be inferred from it.

Notes

1. In the scheduler case, to stick to the example, the phenomenon is how the CPU is distributed among the running tasks. Such distribution depends on control actions, that is, on the time slice allotted to each task at each scheduler’s intervention and on exogenous disturbances, such as task blockings, resource contentions and so on.

Additional information

Funding

This work was partially supported by the Swedish Research Council (VR) [grant number C0590801 (2012-5908)] for the projects ‘Cloud Control’ and ‘Power and temperature control for large-scale computing infrastructures’, and through the LCCC Linnaeus and ELLIIT Excellence Centers.

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