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A scalable algorithm for distributed control of interconnected systems by graph decomposition

Belbasi, M.R ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.1109/TCNS.2022.3210342
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2023
  4. Abstract:
  5. In this article, the optimal distributed state-feedback control of interconnected systems is addressed. The underlying problem is nonconvex in general and does not scale well with system dimensions. The objective is to propose a scalable algorithm for distributed H2 and H∞ design with the arbitrary control structure and limited model information exchanged within neighboring subsystems. To this end, first, a graph-theoretic perspective is provided for the structured optimal H2 and H∞ design with linear matrix inequality constraints. Chordal graph decomposition is then utilized to decompose the underlying design problems into a set of lower dimensional problems with coupling constraints. Finally, scalable algorithms based on the alternating direction method of multipliers are proposed for H2 and H∞ problems. The presented design algorithms admit the guarantee of stability for the overall closed-loop system by limited model information exchange. Simulation results for large-scale systems show a noticeable improvement in reducing computational complexity and enhancement of privacy compared to the central design approaches. © 2014 IEEE
  6. Keywords:
  7. Alternating direction method of multipliers (ADMM) ; Convex optimization ; Distributed control ; Graph decomposition
  8. Source: IEEE Transactions on Control of Network Systems ; Volume 10, Issue 2 , 2023 , Pages 809-821 ; 23255870 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/9904887