H-infinity norm computation of multi-agent dynamical systems

Nguyễn Đình Hòa, Nguyễn Doãn Phước
Author affiliations

Authors

  • Nguyễn Đình Hòa Đại học Bách Khoa Hà Nội
  • Nguyễn Doãn Phước Đại học Bách Khoa Hà Nội

DOI:

https://doi.org/10.15625/1813-9663/29/3/2559

Keywords:

Multi-agent systems, H-infinity norm, convex optimization, LMI

Abstract

In this paper, we propose a new method to computing the H_infinity norm of multi-agent dynamical systems(MADSs). Employing the generalized frequency variable (GFVs) framework, a class of MADSs can be represented by linear systems with GFVs. Then, an efficient method for H_infinity  norm computation is proposed for MADSs whose communication topologies are diagonalizable. The calculation is derived in terms of an LMI problem which can be easily solved by off-the-shelf optimization solvers. Moreover, some numerical examples are introduced to demonstrate the efficiency of the proposed method.

Metrics

Metrics Loading ...

Published

30-05-2013

How to Cite

[1]
N. Đình Hòa and N. D. Phước, “H-infinity norm computation of multi-agent dynamical systems”, JCC, vol. 29, no. 3, pp. 241–251, May 2013.

Issue

Section

Cybernetics