A quadratic programming approach for network distributed ℓ1 optimal control

Yuanji Zou; Nicola Elia

doi:10.1109/cdc57313.2025.11312462

A quadratic programming approach for network distributed ℓ₁ optimal control

Yuanji Zou
, Nicola Elia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present an approximation method for the distributed ℓ₁ output-feedback control problem under network-induced sparsity and delays, assuming quadratic invariance with the plant. We avoid structured doubly co-prime factorizations and instead start from the plant's spectral factorization. We introduce a mixed ℓ₁/ℓ₂ norm with arbitrary truncation and formulate a jointly convex, two-stage optimization. We establish tight upper and lower bounds through a primal-dual analysis. We cast the method as a quadratic program and illustrate its effectiveness with a numerical example.

Original language	English (US)
Title of host publication	2025 IEEE 64th Conference on Decision and Control, CDC 2025
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5246-5251
Number of pages	6
ISBN (Electronic)	9798331526276
DOIs	https://doi.org/10.1109/cdc57313.2025.11312462
State	Published - 2025
Event	64th IEEE Conference on Decision and Control, CDC 2025 - Rio de Janeiro, Brazil Duration: Dec 9 2025 → Dec 12 2025

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	64th IEEE Conference on Decision and Control, CDC 2025
Country/Territory	Brazil
City	Rio de Janeiro
Period	12/9/25 → 12/12/25

Bibliographical note

Publisher Copyright:
© 2025 IEEE.

Publisher link

10.1109/cdc57313.2025.11312462

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Cite this

A quadratic programming approach for network distributed ℓ₁ optimal control. / Zou, Yuanji; Elia, Nicola.
2025 IEEE 64th Conference on Decision and Control, CDC 2025. Institute of Electrical and Electronics Engineers Inc., 2025. p. 5246-5251 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zou, Y & Elia, N 2025, A quadratic programming approach for network distributed ℓ₁ optimal control. in 2025 IEEE 64th Conference on Decision and Control, CDC 2025. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5246-5251, 64th IEEE Conference on Decision and Control, CDC 2025, Rio de Janeiro, Brazil, 12/9/25. https://doi.org/10.1109/cdc57313.2025.11312462

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