Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Data-driven stabilization of switched and constrained linear systems
M. Bianchi, S. Grammatico, J. Cortés
Automatica (2024), to appear
Abstract
We consider the design of state feedback control laws
for both the switching signal and the continuous input
of an unknown switched linear system, given past noisy
input-state trajectories measurements. Based on
Lyapunov-Metzler inequalities, we derive data-dependent
bilinear programs whose solution directly returns a
provably stabilizing controller and ensures H2 or H-infinity
performance. We further present relaxations that
considerably reduce the computational cost, still
without requiring stabilizability of any of the
switching modes. Finally, we showcase the flexibility of
our approach on the constrained stabilization problem
for a perturbed linear system.
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