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Contraction Based Nonlinear Controller for a Laser Beam Stabilization System using a Variable Gain
González-Romeo, L. L., Reyes Báez, R., Guerrero-Castellanos, J. F., Jayawardhana, B., Cid-Monjaraz, J. J. & Félix-Beltrán, O. G., Jun-2020, In : IEEE Control Systems Letters. 5, 3, p. 761-766 6 p., 9127509.Research output: Contribution to journal › Article › Academic › peer-review
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Contraction Based Nonlinear Controller for a Laser Beam Stabilization System using a Variable Gain. / González-Romeo, Lorenzo L; Reyes Báez, Rodolfo; Guerrero-Castellanos, J. Fermi; Jayawardhana, Bayu; Cid-Monjaraz, Jaime J.; Félix-Beltrán, Olga G.
In: IEEE Control Systems Letters, Vol. 5, No. 3, 9127509, 06.2020, p. 761-766.Research output: Contribution to journal › Article › Academic › peer-review
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TY - JOUR
T1 - Contraction Based Nonlinear Controller for a Laser Beam Stabilization System using a Variable Gain
AU - González-Romeo, Lorenzo L
AU - Reyes Báez, Rodolfo
AU - Guerrero-Castellanos, J. Fermi
AU - Jayawardhana, Bayu
AU - Cid-Monjaraz, Jaime J.
AU - Félix-Beltrán, Olga G.
PY - 2020/6
Y1 - 2020/6
N2 - In this letter, we propose a contraction-based variable gain nonlinear control scheme for the laser-beam stabilizing (LBS) servo-system, which guarantees that the closed-loop system is convergent. With the variable gain acting on the velocity error, the well known waterbed effect of the low-frequency/bandwidth trade-off can be overcome. Moreover, the contraction-based framework allows us to extend the linear control performance metrics for analyzing the closed-loop nonlinear system behavior. The closed-loop system’s performance is evaluated in numerical simulations under input disturbances and/or white noise measurements and its efficacy is compared to that using PID and LQG controllers.
AB - In this letter, we propose a contraction-based variable gain nonlinear control scheme for the laser-beam stabilizing (LBS) servo-system, which guarantees that the closed-loop system is convergent. With the variable gain acting on the velocity error, the well known waterbed effect of the low-frequency/bandwidth trade-off can be overcome. Moreover, the contraction-based framework allows us to extend the linear control performance metrics for analyzing the closed-loop nonlinear system behavior. The closed-loop system’s performance is evaluated in numerical simulations under input disturbances and/or white noise measurements and its efficacy is compared to that using PID and LQG controllers.
U2 - 10.1109/LCSYS.2020.3005445
DO - 10.1109/LCSYS.2020.3005445
M3 - Article
VL - 5
SP - 761
EP - 766
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
SN - 2475-1456
IS - 3
M1 - 9127509
T2 - 59th IEEE Conference on Decision and Control
Y2 - 14 December 2020 through 18 December 2020
ER -
ID: 128542554