TY - GEN
T1 - Synchronization of coupled laser arrays with all-to-all and limited coupling topology
AU - Lu, Yao
AU - Li, Shuai
AU - Guo, Yi
PY - 2012
Y1 - 2012
N2 - Synchronization of coupled laser arrays is required in many applications of high-power laser systems. While the problem is approached by numerical or experimental methods traditionally, we propose a new approach to rigorously characterize the synchronization condition inspired by recent advances in cooperative control. We study synchronization of an array of coupled solid state lasers where each individual laser is modeled by a second-order nonlinear oscillators. We analyze synchronization conditions over a mean-field model for all-to-all coupling configuration, and prove that the coupled lasers with identical frequencies can be stabilized on the synchronization state for any positive coupling strength. We then extend the all-to-all coupling to the limited communication case, and similar synchronization conditions are proved for undirected connected graphs. Our analysis is conducted using tools from algebraic graph theory and Lyapunov dynamic system theory. Simulation examples are given to illustrate the results.
AB - Synchronization of coupled laser arrays is required in many applications of high-power laser systems. While the problem is approached by numerical or experimental methods traditionally, we propose a new approach to rigorously characterize the synchronization condition inspired by recent advances in cooperative control. We study synchronization of an array of coupled solid state lasers where each individual laser is modeled by a second-order nonlinear oscillators. We analyze synchronization conditions over a mean-field model for all-to-all coupling configuration, and prove that the coupled lasers with identical frequencies can be stabilized on the synchronization state for any positive coupling strength. We then extend the all-to-all coupling to the limited communication case, and similar synchronization conditions are proved for undirected connected graphs. Our analysis is conducted using tools from algebraic graph theory and Lyapunov dynamic system theory. Simulation examples are given to illustrate the results.
UR - http://www.scopus.com/inward/record.url?scp=84885897139&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84885897139&partnerID=8YFLogxK
U2 - 10.1115/DSCC2012-MOVIC2012-8868
DO - 10.1115/DSCC2012-MOVIC2012-8868
M3 - Conference contribution
AN - SCOPUS:84885897139
SN - 9780791845295
T3 - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
SP - 483
EP - 489
BT - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
T2 - ASME 2012 5th Annual Dynamic Systems and Control Conference Joint with the JSME 2012 11th Motion and Vibration Conference, DSCC 2012-MOVIC 2012
Y2 - 17 October 2012 through 19 October 2012
ER -