Constrained PSO algorithm for single satellite passive localization form Doppler shift measurements

In this paper, passive localization from a single satellite is addressed. Passive localization is a typical nonlinear filtering and optimal estimation problem, and usually suffers large initial estimation error and low observability. When localizing an emitter located at the surface of the earth, the localization problem needs to satisfy the constraint condition of the earth surface. Particle swarm optimization(PSO) provides an evolutionary computation method to solve the constrained nonlinear optimal problem. However, it is not applicable straightforwardly to constrained optimal problem. Considering the constraint in single satellite passive localization, a new algorithm based on PSO is proposed. This algorithm can reduce the PSO searching dimension using the nonlinear constraint condition. Computer simulation experiments are performed to show the effectiveness of the proposed algorithm.