TY - GEN
T1 - Saturating Integral Control for Infinite-Dimensional Linear Systems
AU - Lorenzetti, Pietro
AU - Paunonen, Lassi
AU - Vanspranghe, Nicolas
AU - Weiss, George
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - We propose a saturating integrator based controller for infinite dimensional well-posed linear systems, which prevents the controller state from leaving a desired closed interval. This set usually represents actuator constraints or safety requirements. We use Lyapunov theory to prove closed-loop stability and tracking of a constant reference for a suitable set of feasible references. The performance of the proposed controller is showcased through an application: the boundary control of a string equation with localized viscous damping.
AB - We propose a saturating integrator based controller for infinite dimensional well-posed linear systems, which prevents the controller state from leaving a desired closed interval. This set usually represents actuator constraints or safety requirements. We use Lyapunov theory to prove closed-loop stability and tracking of a constant reference for a suitable set of feasible references. The performance of the proposed controller is showcased through an application: the boundary control of a string equation with localized viscous damping.
U2 - 10.1109/CDC49753.2023.10384187
DO - 10.1109/CDC49753.2023.10384187
M3 - Conference contribution
AN - SCOPUS:85184824116
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1911
EP - 1918
BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023
PB - IEEE
T2 - IEEE Conference on Decision and Control
Y2 - 13 December 2023 through 15 December 2023
ER -