This article addresses the problem of energy-optimal waypoint-following guidance for an unmanned aerial vehicle, considering a general autopilot dynamics model. The proposed guidance law is derived as a solution of a linear-quadratic optimal control problem in conjunction with a linearized kinematics model. The algorithm developed integrates path planning and path following into a single step, and can be applied to a general waypoint-following mission. Theoretical analysis reveals that previously suggested optimal point-to-point guidance laws are special cases of the proposed approach. Nonlinear numerical simulations clearly demonstrate the effectiveness of the proposed formulations.
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He et al. (2019) studied this question.
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