linear quadratic regulator

OPTIMAL PATH PLANNING FOR TRIANGULAR SPACECRAFT FORMATIONS IN CIRCULAR AND ECCENTRIC ORBITS

The ability of a spacecraft formation to maintain a stable relative geometry is often critical to the success of the mission. Typical optimal path planning and control algorithms, aimed to minimize the effort and indeed the consumption, have been revisited for the case of a triangular formation. The constraints coming from col-lision risk avoidance during the maneuver and from a maximum allowed inter-satellite distance to preserve the formation links are considered together with the typical requirement of configuration stability.

LQ control design for the containment of the HIV/AIDS diffusion

An optimal control design approach is applied to a novel HIV/AIDS model to reduce the infection diffusion. Two classes of susceptible subjects, the wise one and the incautious ones, and three classes of infectious subjects, the ones not aware of their condition and the subjects in the pre-aids or in the aids status, are considered. The control input, represented by information campaigns and the medication action, is designed by means of a linear quadratic approach on the linearized model.

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