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.
- Dynamic Systems and Control Division
Synchronization of Coupled Laser Arrays With All-to-All and Limited Coupling Topology
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Lu, Y, Li, S, & Guo, Y. "Synchronization of Coupled Laser Arrays With All-to-All and Limited Coupling Topology." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperative and Decentralized Control; Dynamic System Modeling; Dynamical Modeling and Diagnostics in Biomedical Systems; Dynamics and Control in Medicine and Biology; Estimation and Fault Detection; Estimation and Fault Detection for Vehicle Applications; Fluid Power Systems; Human Assistive Systems and Wearable Robots; Human-in-the-Loop Systems; Intelligent Transportation Systems; Learning Control. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 483-489. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8868
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