TY - JOUR

T1 - Model predictive control for retinal laser treatment at 1 kHz

AU - Schaller, Manuel

AU - Kleyman, Viktoria

AU - Mordmüller, Mario

AU - Schmidt, Christian

AU - Wilson, Mitsuru

AU - Brinkmann, Ralf

AU - Müller, Matthias A.

AU - Worthmann, Karl

N1 - Funding Information: The collaborative project “Temperature controlled retinal laser treatment” is funded by the German Research Foundation (DFG) under the project number 430154635 (MU 3929/3-1, WO 2056/7-1, BR 1349/6-1). Karl Worthmann gratefully acknowledges funding by the German Research Foundation (DFG; grant WO 2056/6-1, project number 406141926).

PY - 2022/11/25

Y1 - 2022/11/25

N2 - Laser photocoagulation is a technique applied in the treatment of retinal disease, which is often done manually or using simple control schemes. We pursue an optimization-based approach, namely Model Predictive Control (MPC), to enforce bounds on the peak temperature and, thus, to ensure safety during the medical treatment procedure - despite the spot-dependent absorption of the tissue. The desired laser repetition rate of 1 kHz is renders the requirements on the computation time of the MPC feedback a major challenge. We present a tailored MPC scheme using parametric model reduction, an extended Kalman filter for the parameter and state estimation, and suitably tuned stage costs and verify its applicability both in simulation and experiments with porcine eyes. Moreover, we give some insight on the implementation specifically tailored for fast numerical computations.

AB - Laser photocoagulation is a technique applied in the treatment of retinal disease, which is often done manually or using simple control schemes. We pursue an optimization-based approach, namely Model Predictive Control (MPC), to enforce bounds on the peak temperature and, thus, to ensure safety during the medical treatment procedure - despite the spot-dependent absorption of the tissue. The desired laser repetition rate of 1 kHz is renders the requirements on the computation time of the MPC feedback a major challenge. We present a tailored MPC scheme using parametric model reduction, an extended Kalman filter for the parameter and state estimation, and suitably tuned stage costs and verify its applicability both in simulation and experiments with porcine eyes. Moreover, we give some insight on the implementation specifically tailored for fast numerical computations.

KW - model predictive control

KW - real-time control

KW - retinal photocoagulation

UR - http://www.scopus.com/inward/record.url?scp=85143332964&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2202.12879

DO - 10.48550/arXiv.2202.12879

M3 - Article

AN - SCOPUS:85143332964

VL - 70

SP - 992

EP - 1002

JO - At-Automatisierungstechnik

JF - At-Automatisierungstechnik

SN - 0178-2312

IS - 11

ER -