References & Citations
Electrical Engineering and Systems Science > Systems and Control
Title: Localized and Distributed H2 State Feedback Control
(Submitted on 6 Oct 2020 (v1), last revised 29 Mar 2021 (this version, v2))
Abstract: Distributed linear control design is crucial for large-scale cyber-physical systems. It is generally desirable to both impose information exchange (communication) constraints on the distributed controller, and to limit the propagation of disturbances to a local region without cascading to the global network (localization). Recently proposed System Level Synthesis (SLS) theory provides a framework where such communication and localization requirements can be tractably incorporated in controller design and implementation. In this work, we derive a solution to the localized and distributed H2 state feedback control problem without resorting to Finite Impulse Response (FIR) approximation. Our proposed synthesis algorithm allows a column-wise decomposition of the resulting convex program, and is therefore scalable to arbitrary large-scale networks. We demonstrate superior cost performance and computation time of the proposed procedure over previous methods via numerical simulation.
Submission history
From: Jing Yu [view email][v1] Tue, 6 Oct 2020 02:40:35 GMT (1076kb,D)
[v2] Mon, 29 Mar 2021 22:02:16 GMT (980kb,D)
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