Online ℓ₁ -Regularized Optimization for Optical Misalignment Cancellation of Strapdown Seekers

This paper presents an ℓ₁-regularized optimization based technique which effectively eliminates the optical misalignment effects encountered in the squint guidance mode with strapdown seekers. We formulated a series of ℓ₁-regularized optimization problems in order to separate the bias and the gradient components from the measured data, and solved it via the alternating direction method of multipliers and sparse matrix decomposition techniques. The proposed technique was able to rapidly detect arbitrary discontinuities and gradient changes from the measured signals, and was shown to effectively cancel the undesirable effects coming from the seeker’s optical misalignment.