Kill-Band-Based Lateral Impact Guidance Without Line-of-Sight Rate Information

Abstract

A geometric guidance scheme is proposed for lateral interception of targets in the absence of line-of-sight rate information. A kill-band is defined for target positions capturable by an interceptor using arc maneuver followed by a straight line course. Detailed analytic study of the kill-band and its boundaries is presented. Interceptor speed and heading requirements are derived for expanding the kill band. Based on the kill-band and maneuvers to control its size, guidance laws are proposed for nonmaneuvering and maneuvering targets, respectively. The proposed scheme is based on instantaneous target position and velocity information. The kill-band concept inherently provides robustness to the proposed scheme with respect to uncompensated dynamic lags and target maneuvers. Numerical simulations are carried out to support the analytical findings.

Generalized optimal impact-angle-control guidance with terminal acceleration response constraint

“…Define the new variables q f ¼ f , N p ¼ 2(n þ 2) and N q ¼ (n þ 1)(n þ 2); then, combining equations (32) to (34) gives…”

“…25–27 In 2012–2015, several new ideas about impact-angle-control by using combined guidance laws of PN and biased PN were proposed by Erer et al. 28–32 In addition, some new guidance strategies of impact-angle-control were also reported in literatures 33–36 in the case of without LOS angle rate information or with the limit of seeker’s field-of-view.…”

“…For example, the sliding-mode guidance laws with terminal angle constraint have been proposed by Kumar et al; [20][21][22][23] a biased PN guidance law for impact with angular constraint has been derived by Kim et al 24 and a two-stage PN guidance law related to the initial values has been reported in literatures. [25][26][27] In 2012-2015, several new ideas about impact-angle-control by using combined guidance laws of PN and biased PN were proposed by Erer et al [28][29][30][31][32] In addition, some new guidance strategies of impact-angle-control were also reported in literatures [33][34][35][36] in the case of without LOS angle rate information or with the limit of seeker's field-of-view.…”

A modified dubins problem with partially restricted terminal conditions

“…dghose@aero.iisc.ernet.in guidance strategies provide interception with constraint on the terminal angle [9]- [14]. Geometric schemes for impact angle constrained guidance were addressed in [15]- [17]. A novel geometric guidance scheme, based on Dubins paths, which can render lateral interception is developed here.…”

A 3D pitch and impact-angle constrained guidance scheme

“…4,5 Similarly, a killband based guidance scheme was developed to achieve lateral impact angle constraint. 6 In addition to this, optimal control theory was used to develop impact-angle guidance laws. [7][8][9] An linear quadratic regulator (LQR) based approach was employed to develop impact-angle guidance laws for linearized geometries.…”