### Jorge Cortés

#### Professor

Scheduling of control nodes for improved network
controllability

Y. Zhao, F. Pasqualetti, J. Cortés

Proceedings of the IEEE Conference on Decision and
Control, Las Vegas, Nevada, USA, 2016, pp. 1859-1864

### Abstract

This paper considers the problem of controlling a linear
time-invariant network by means of (possibly) time-varying set of
control nodes. As control metric, we adopt the worst-case input
energy to drive the network state from the origin to any point on
the unit hypersphere in the state space. We provide a geometric
interpretation of the controllability Gramian of networks with
time-varying input matrices, and establish a connection between the
controllability degree of a network and its eigenstructure. Based
on the geometric structure of the controllability Gramian, we then
propose a scheduling algorithm to select control nodes over time so
as to improve the network controllability degree. Finally, we
numerically show that, for a class of clustered networks, our
algorithm improves upon the performance obtained by a constant set
of control nodes, and outperforms an existing heuristic-based on
column subset selection.

pdf

Mechanical and Aerospace Engineering,
University of California, San Diego

9500 Gilman Dr,
La Jolla, California, 92093-0411

Ph: 1-858-822-7930

Fax: 1-858-822-3107

cortes at ucsd.edu

Skype id:
jorgilliyo