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The path following problem for a simplified model of an unhabited aerial vehicle (UAV) in longitudinal motion is investigated using a piecewise-affine (PWA) control law and a Lyapunov based controller design technique. The search for the parameters corresponding to the controller and to a piecewise quadratic Lyapunov function is formulated as an optimization problem subject to linear and bilinear matrix inequality constraints. Simulation results will show the effectiveness of the proposed methodology
Shehab et al. (Mon,) studied this question.