@inproceedings{4ad61113318047d7be4a36d425ca765c,
title = "Decentralized control of linear time-varying nested systems with H ∞-type performance",
abstract = "This paper considers the decentralized control of a nested linear time-varying (LTV) discrete-time system using a nested LTV controller for an ℓ2-induced norm performance criteria. An operator theoretic approach is used to obtain exact conditions for the feasibility of structured linear controller synthesis. These include conditions for the completion of scaling matrices obtained through an updated matrix completion lemma. When individual controller dimensions are chosen at least as large as the plant, these conditions reduce to convex inequalities coupled over time. The completion lemma also provides an algorithm to complete the closed loop scaling matrices leading to inequalities for controller synthesis.",
keywords = "Decentralized control, LMIs, Time-varying systems",
author = "Anshuman Mishra and Cedric Langbort and Dullerud, {Geir E}",
year = "2014",
doi = "10.1109/ACC.2014.6859375",
language = "English (US)",
isbn = "9781479932726",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "5174--5179",
booktitle = "2014 American Control Conference, ACC 2014",
address = "United States",
note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",
}