Development of the satellite static attitude determination founded on an interval arithmetic-based multi-objective algorithm

Solution of the static attitude determination of the satellite leads to the Wahba problem. The Wahba problem uses a set of at least two independent sensor measurements and reference vectors. These input vectors are not accurate due to sensor noises, misalignment, and low-order approximations. But these uncertainties do not view in the classic Wahba problem directly. Hence, the estimation error of the Wahba problem depends on the accuracy of the input vectors. In this paper, modeling error, measurement noise, and biases are proposed unknown but bounded. These errors are modeled using interval analysis. The innovations of this research are considering the uncertainties in the input vectors in the Wahba problem using interval arithmetic and transforming the solution of the attitude determination problem from a single-objective problem to a multi-objective robust optimization problem. Then the multi-objective problem is optimized using an NSGA solver. The results indicate a lower attitude estimation error of the proposed method in attitude determination of the satellite.