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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/24243

Title: Lyapunov-based Stability Analysis of a One-pump One-signal Co-pumping Raman Amplifier
Authors: Chang, Chia-wei Liz
Advisor: Pavel, Lacra
Department: Electrical and Computer Engineering
Keywords: Control
Raman Amplifier
Stability Analysis
Lotka-Volterra
Issue Date: 6-Apr-2010
Abstract: We consider the boundary control problem to stabilize the power of a signal and a pump propagating down a Raman amplifier. This is essentially an initial-boundary value problem (IBVP) of a hyperbolic system with Lotka-Volterra type nonlinearities. We treat the system as a control problem with states in the function space and use Lyapunov-based analysis to demonstrate asymptotic stability in the C_0 and the L_2-sense. The stability conditions are derived for closed-loop systems with a proportional controller and a dynamic controller, and confirmed by simulations in MATLAB.
URI: http://hdl.handle.net/1807/24243
Appears in Collections:Master
The Edward S. Rogers Sr. Department of Electrical & Computer Engineering - Master theses

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