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arXiv · 1705.06526

Weak Interactions Based System Partitioning Using Integer Linear Programming

Romain Guicherd·Paul A. Trodden·Andrew R. Mills·Visakan Kadirkamanathan
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Abstract

The partitioning of a system model will condition the structure of the controller as well as its design. In order to partition a system model, one has to know what states and inputs to group together to define subsystem models. For a given partitioning, the total magnitude of the interactions between subsystem models is evaluated. Therefore, the partitioning problem seeking for weak interactions can be posed as a minimization problem. Initially, the problem is formulated as a non-linear integer minimization that is then relaxed into a linear integer programming problem. It is shown within this paper that cuts can be applied to the initial search space in order to find the least interacting partitioning; only composed of controllable subsystems. Two examples are given to demonstrate the methodology.

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Romain Guicherd, Paul A. Trodden, Andrew R. Mills, Visakan Kadirkamanathan. 2017-05-18. Weak Interactions Based System Partitioning Using Integer Linear Programming. https://doi.org/10.1016/j.ifacol.2017.08.709

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