Analytical solution of optimal trajectory-shaping guidance

4D Trajectory Generation for Guidance Module of a UAV for a Gate-to-Gate Flight in Presence of Turbulence

“…Lin and Tsai [19] derive analytical solutions for a closed-loop nonlinear optimal guidance law for three-dimensional mid-course and terminal guidance phases. Rao [16] improves these analytical solutions by dealing with nonlinear terms that were neglected by Lin and Tsai. Choi, Curry and Elkaim [6] present two path-planning algorithms based on Bezier curves for autonomous vehicles with waypoint and corridor constraints.…”

Analytical missile guidance laws with a time-varying transformation

“…A few papers in the literature 6 ' 7 deal with guidance laws in polar coordinates, but their formulations do not derive an optimal guidance law as they do in this study. Lin and Tsai 8 and Rao,9 in an extension of Ref. 8, consider an optimal control formulation seeking to maximize the final missile speed.…”

“…(10) can be expressed as a time-varying linear differential equation as / 0 = f(t)0 + g(t)a Te -g(t)a Me(U) where /(*) = -(2r/r) and g(t) = -(1/r).With first-order dynamics for target acceleration, Eq. (11) can be expressed in a state space z -[0,9, a To ] T …”

تعمیم راهکار هدایت کاپا به منظور بهبود مسیر بازگشت به محل معین یک سامانه ی هوایی با قید کمترین سرعت فرود

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