Algorithms for leader selection in large dynamical networks: Noise-free leaders

Makan Fardad, Fu Lin, Mihailo R. Jovanovic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

30 Scopus citations

Abstract

We consider networks of single-integrator systems, where it is desired to optimally assign a predetermined number of systems to act as leaders. Performance is measured in terms of the H 2 norm of the overall network, and the leaders are assumed to always follow their desired state trajectories. We demonstrate that, after applying a sequence of relaxations, the problem can be formulated as a semidefinite program and thus solved efficiently. We compare the results of our algorithms against others reported in the literature. Finally, we interpret the leader selection problem in terms of electrical networks and Kron reduction theory.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages7188-7193
Number of pages6
DOIs
StatePublished - Dec 1 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

Keywords

  • Consensus
  • Kron reduction
  • convex optimization
  • convex relaxation
  • effective resistance
  • leader selection
  • semidefinite programing
  • sparsity
  • ℓ minimization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Fardad, M., Lin, F., & Jovanovic, M. R. (2011). Algorithms for leader selection in large dynamical networks: Noise-free leaders. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 7188-7193). [6161482] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161482