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Robust Performance Guarantees for System Level Synthesis

Matni, Nikolai and Sarma, Anish A. (2020) Robust Performance Guarantees for System Level Synthesis. In: 2020 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 779-786. ISBN 9781538682661.

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We generalize the system level synthesis framework to systems defined by bounded causal linear operators, and use this parameterization to make connections between robust system level synthesis and the robust control literature. In particular, by leveraging results from ℒ₁ robust control, we show that necessary and sufficient conditions for robust performance with respect to causal bounded linear uncertainty in the system dynamics can be translated into convex constraints on the system responses. We exploit this connection to show that these conditions naturally allow for the incorporation of delay, sparsity, and locality constraints on the system responses and resulting controller implementation, allowing these methods to be applied to large-scale distributed control problems - to the best of our knowledge, these are the first such robust performance guarantees for distributed control systems.

Item Type:Book Section
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Matni, Nikolai0000-0003-4936-3921
Additional Information:© 2020 AACC.
Record Number:CaltechAUTHORS:20210304-101336411
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Official Citation:N. Matni and A. A. Sarma, "Robust Performance Guarantees for System Level Synthesis," 2020 American Control Conference (ACC), Denver, CO, USA, 2020, pp. 779-786, doi: 10.23919/ACC45564.2020.9147436
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108311
Deposited By: Tony Diaz
Deposited On:04 Mar 2021 21:27
Last Modified:16 Nov 2021 19:10

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