Time-to-go weighted optimal guidance with impact angle constraints

Optimality of Error Dynamics in Missile Guidance Problems

“…If the guidance gains satisfy N ≥ 3 and K = 1, guidance law (56) reduces to interception angle control guidance (IACG) law [20]. If one enforces N = K + 2 and K ≥ 1, guidance law (56) is identical with time-to-go weighted optimal guidance law (TWOGL) [32,33]. Finally, if one selects N > K + 1 and K ≥ 1, guidance law (56) turns out to be time-to-go polynomial guidance (TPG) law [34].…”

“…The presented examples include zero ZEM guidance, impact angle guidance, impact time guidance as well as guidance-to-collision for exo-atmospheric interception. It turns out to be that the resulting ZEM guidance law is the well-known augmented PNG law and the impact angle guidance law is a generalized form of previous optimal impact angle guidance laws [20,[31][32][33][34]. The new impact time guidance law, which is a generalized formulation of [24,26], is a combination of PNG and impact time error feedback term.…”

Exact Guidance Solution for Maneuvering Target on Relative Virtual Frame Formulation

“…In another stream of advanced guidance law development, many optimal guidance laws have been suggested to fulfill not only the principal object of the target intercept but also additional goals such as specified impact time and/or impact angle and control effort minimization [14][15][16][17][18][19][20][21][22][23][24][25]. However, many of them have focused on stationary or nonmaneuvering targets, leaving the research on the cases with maneuvering targets in nonlinear formulation a relatively unexploited area.…”

Bias-Shaping Method for Biased Proportional Navigation with Terminal-Angle Constraint

“…In [2], an energy-optimal impact-angle control law was proposed by solving the linear quadratic optimal control problem with arbitrary missile dynamics. As an extension of this study, the authors also proposed an optimal impact-angle controller that can minimize the time-to-go weighted energy-cost function [3]. Using the Schwartz inequality and differential game theory, terminal-impact-angle-constrained guidance laws for maneuvering targets were developed in [4,5], respectively.…”