Distributed Continuous-Time Control via System Level Synthesis

Yaozhi Du, Jing Shuang Li

公開日: 2024/10/10

Abstract

This paper focuses on the design of H2 and H-Infinity distributed controllers with local communication and local disturbance rejection. We propose a two-step controller design procedure: (1) select closed-loop poles, then (2) optimize over parameterized controllers. Our parameterization builds on the system level synthesis (SLS) formulation -- primarily used in the discrete-time setting -- and extends it to the general continuous-time setting. We verify our approach in simulation on a 9-node grid governed by linearized swing equations, where our distributed controllers (with local communication) achieve performance comparable to that of optimal centralized controllers while facilitating local disturbance rejection.

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