Abstract

This paper presents a method for designing decentralized controllers based on coprime factorizations. The proposed method consists of two steps. The first step is to approximate the given plant to a block-diagonal system, which consists from decoupled subsystems. The approximation of the plant can be obtained by reducing the rank of the partial transfer function matrix of the right coprime factorization. And an iterative algorithm for the approximation is proposed here. The second step is to find a decentralized controller which stabilizes the plant, that is, its approximation with the coprime factor perturbation.

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