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arXiv · 2109.05954

Distributed Control of Descriptor Networks: A Convex Procedure for Augmented Sparsity

Andrei Sperilă·Cristian Oară·Bogdan D. Ciubotaru·Şerban Sabău
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Abstract

For networks of systems, with possibly improper transfer function matrices, we present a design framework which enables $\mathcal{H}_\infty$ control, while imposing sparsity constraints on the controller's coprime factors. We propose a convex and iterative optimization procedure with guaranteed convergence to obtain distributed controllers. By exploiting the robustness-oriented nature of our proposed approach, we provide the means to obtain sparse representations of our control laws that may not be directly supported by the network's nominal model.

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Andrei Sperilă, Cristian Oară, Bogdan D. Ciubotaru, Şerban Sabău. 2021-09-13. Distributed Control of Descriptor Networks: A Convex Procedure for Augmented Sparsity. https://doi.org/10.1109/tac.2023.3301949

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