Details
| Original language | English |
|---|---|
| Article number | 014005 |
| Journal | Physical review applied |
| Volume | 5 |
| Issue number | 1 |
| Publication status | Published - 13 Jan 2016 |
Abstract
We propose and demonstrate a new autolocking scheme using a three-mirror ring cavity consisting of a linear quadratic regulator and a time-varying Kalman filter. Our technique does not require a frequency scan to acquire resonance. We utilize the singular perturbation method to simplify our system dynamics and to permit the application of linear control techniques. The error signal combined with the transmitted power is used to estimate the cavity detuning. This estimate is used by a linear time-varying Kalman filter which enables the implementation of an optimal controller. The experimental results validate the controller design, and we demonstrate improved robustness to disturbances and a faster locking time than a traditional proportional-integral controller. More important, the time-varying Kalman filtering approach automatically reacquires lock for large detunings, where the error signal leaves its linear capture range, a feat which linear time-invariant controllers cannot achieve.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review applied, Vol. 5, No. 1, 014005, 13.01.2016.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Experimental Demonstration of Frequency Autolocking an Optical Cavity Using a Time-Varying Kalman Filter
AU - Schütte, Dirk
AU - Hassen, S. Z.Sayed
AU - Karvinen, Kai S.
AU - Boyson, Toby K.
AU - Kallapur, Abhijit G.
AU - Song, Hongbin
AU - Petersen, Ian R.
AU - Huntington, Elanor H.
AU - Heurs, Michèle
PY - 2016/1/13
Y1 - 2016/1/13
N2 - We propose and demonstrate a new autolocking scheme using a three-mirror ring cavity consisting of a linear quadratic regulator and a time-varying Kalman filter. Our technique does not require a frequency scan to acquire resonance. We utilize the singular perturbation method to simplify our system dynamics and to permit the application of linear control techniques. The error signal combined with the transmitted power is used to estimate the cavity detuning. This estimate is used by a linear time-varying Kalman filter which enables the implementation of an optimal controller. The experimental results validate the controller design, and we demonstrate improved robustness to disturbances and a faster locking time than a traditional proportional-integral controller. More important, the time-varying Kalman filtering approach automatically reacquires lock for large detunings, where the error signal leaves its linear capture range, a feat which linear time-invariant controllers cannot achieve.
AB - We propose and demonstrate a new autolocking scheme using a three-mirror ring cavity consisting of a linear quadratic regulator and a time-varying Kalman filter. Our technique does not require a frequency scan to acquire resonance. We utilize the singular perturbation method to simplify our system dynamics and to permit the application of linear control techniques. The error signal combined with the transmitted power is used to estimate the cavity detuning. This estimate is used by a linear time-varying Kalman filter which enables the implementation of an optimal controller. The experimental results validate the controller design, and we demonstrate improved robustness to disturbances and a faster locking time than a traditional proportional-integral controller. More important, the time-varying Kalman filtering approach automatically reacquires lock for large detunings, where the error signal leaves its linear capture range, a feat which linear time-invariant controllers cannot achieve.
UR - http://www.scopus.com/inward/record.url?scp=84963815007&partnerID=8YFLogxK
U2 - 10.1103/PhysRevApplied.5.014005
DO - 10.1103/PhysRevApplied.5.014005
M3 - Article
AN - SCOPUS:84963815007
VL - 5
JO - Physical review applied
JF - Physical review applied
SN - 2331-7019
IS - 1
M1 - 014005
ER -