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Distributed LQR-based Suboptimal Control for Coupled Linear Systems

Vlahakis, E. E. ORCID: 0000-0002-7039-5314, Dritsas, L. and Halikias, G. ORCID: 0000-0003-1260-1383 (2019). Distributed LQR-based Suboptimal Control for Coupled Linear Systems. IFAC-PapersOnLine, 52(20), pp. 109-114. doi: 10.1016/j.ifacol.2019.12.139

Abstract

A well-established distributed LQR method for decoupled systems is extended to the dynamically coupled case where the open-loop systems are dynamically dependent. First, a fully centralized controller is designed which is subsequently substituted by a distributed state-feedback gain with sparse structure. The control scheme is obtained by optimizing an LQR performance index with a tuning parameter utilized to emphasize/de-emphasize relative state difference between interconnected systems. Overall stability is guaranteed via a simple test applied to a convex combination of Hurwitz matrices, the validity of which leads to stable global operation for a class of interconnection schemes. It is also shown that the suboptimality of the method can be assessed by measuring a certain distance between two positive definite matrices which can be obtained by solving two Lyapunov equations.

Publication Type: Article
Additional Information: © 2019 the authors. This work has been accepted to IFAC for publication under a Creative Commons Licence CC-BY-NC-ND
Publisher Keywords: distributed LQR, coupled linear systems, multi-agent control, networked control
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
Date Deposited: 27 Apr 2020 15:10
URI: https://openaccess.city.ac.uk/id/eprint/24074
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