Distributed Control Subject to Delays Satisfying an ${\mathcal{H}}_{\infty }$ Norm Bound

Abstract

This paper presents a characterization of distributed controllers subject to delay constraints induced by a strongly connected communication graph that achieve a prescribed closed loop ${\mathcal{H}}_{\infty }$ norm. Inspired by the solution to the ${\mathcal{H}}_2$ problem subject to delays, we exploit the fact that the communication graph is strongly connected to decompose the controller into a local finite impulse response component and a global but delayed infinite impulse response component. This allows us to reduce the control synthesis problem to a linear matrix inequality feasibility test.

Preliminary draft of CDC '14 submission. arXiv admin note: Figure 1 taken from Figure 2 of arXiv:1209.3600

References in corpus (2)

• Structured $H_{\infty }$-Optimal Control for Nested Interconnections: A State-Space Solution
• Optimal Decentralized State-Feedback Control with Sparsity and Delays

Cited by in corpus (2)

• Efficient Learning of Distributed Linear-Quadratic Controllers
• Localized LQR Optimal Control