Open AccessNonlinear control system for optical interferometry based on variable structure control and sliding modes
Author(s) -
Roberta I. Martin,
João M. S. Sakamoto,
Marcelo Carvalho Minhoto Teixeira,
Guilherme Alves Martinez,
Fernando C. Pereira,
Cláudio Kitano
Publication year - 2017
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.25.006335
Subject(s) - interferometry , control theory (sociology) , robustness (evolution) , nonlinear system , control system , actuator , optics , variable structure control , computer science , sliding mode control , physics , engineering , biochemistry , chemistry , control (management) , electrical engineering , quantum mechanics , artificial intelligence , gene
This work presents a novel nonlinear control system designed for interferometry based on variable structure control and sliding modes. This approach can fully compensate the nonlinear behavior of the interferometer and lead to high accuracy control for large disturbances, featuring low cost, ease of implementation and high robustness, without a reset circuit (when compared with a linear control system). A deep stability analysis was accomplished and the global asymptotic stability of the system was proved. The results showed that the nonlinear control is able to keep the interferometer in the quadrature point and suppress signal fading for arbitrary signals, sinusoidal signals, or zero input signal, even under strong external disturbances. The system showed itself suitable to characterize a multi-axis piezoelectric flextentional actuator, which displacements that are much smaller than half wavelength. The high robustness allows the system to be embedded and to operate in harsh environments as factories, bringing the interferometry outside the laboratory.