Robust $\mathcal{H}_{\infty}$ Pointing Error Control of Free Space Optical Communication Systems

Abstract

This paper proposes a robust $\mathcal{H}_{\infty}$ approach for free space optical (FSO) beam pointing error systems. First, a deterministic discrete-time model for pointing error loss due to misalignment is presented. This model considers detector aperture size and optical beam width. Then, the control problem that guarantees the stability of the closed-loop pointing error and the attenuation of the disturbance is investigated through a robust $\mathcal{H}_{\infty}$ control framework. Finally, numerical simulations of the FSO link under the effect of a controlled weak turbulence condition are performed to demonstrate the feasibility of the proposed robust pointing error approach.