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arXiv · 1309.5868

A Framework for Structural Input/Output and Control Configuration Selection in Large-Scale Systems

Sergio Pequito·Soummya Kar·A. Pedro Aguiar
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Abstract

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major minimization problems: (i) selection of the minimum number of manipulated/measured variables to achieve structural controllability/observability of the system, and (ii) selection of the minimum number of feedback interconnections between measured and manipulated variables such that the closed-loop system has no structurally fixed modes. Contrary to what would be expected, we show that it is possible to obtain a global solution for each of the aforementioned minimization problems using polynomial complexity algorithms in the number of the state variables of the system. In addition, we provide several new graph-theoretic characterizations of structural systems concepts, which, in turn, enable us to characterize all possible solutions to the above problems.

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Sergio Pequito, Soummya Kar, A. Pedro Aguiar. 2013-09-23. A Framework for Structural Input/Output and Control Configuration Selection in Large-Scale Systems. https://arxiv.org/abs/1309.5868

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