Memorias de investigación
Research Publications in journals:
On the minimum number of general or dedicated controllers required for system controllability
Year:2019
Research Areas
  • Mathematics,
  • Engineering
Information
Abstract
The paper determines the minimum number of general or dedicated controllers which are required to guarantee the controllability of a class of dynamical systems. For this purpose, we begin by reformulating Kalman controllability condition for linear systems ( A , B ) in the context of the similarity equivalence class associated with A , and then we provide new al- ternative characterizations of such controllability condition based on the cases when ma- trix A is in Jordan or Frobenius form, so that theoretical aspects and computational re- quirements are comparatively commented. In the second part of the paper, given a system state matrix A , we solve the optimal design problem of determining the minimum number of controllers (columns of B ) required for making ( A , B ) controllable, resorting also to the Jordan and Frobenius canonical forms in the similarity equivalence class associated with A . These canonical forms are proven to be also fundamental to provide bounds on the minimum number of dedicated controllers (corresponding to columns of B with a single non-zero element) required to make ( A , B ) controllable. Some examples serve to illustrate the fundamental results.
International
Si
JCR
Si
Title
Applied Mathematics And Computation
ISBN
0096-3003
Impact factor JCR
2,3
Impact info
Datos JCR del año 2017
Volume
355
10.1016/j.amc.2019.03.015
Journal number
From page
417
To page
427
Month
SIN MES
Ranking
Participants
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Centro o Instituto I+D+i: Centro de I+d+i en Procesado de la Información y Telecomunicaciones
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones