Generalization of the collision cone approach for motion safety in 3-D environments

A Chakravarthy, D Ghose - Autonomous Robots, 2012 - Springer
Avoidance of collision between moving objects in a 3-D environment is fundamental to the
problem of planning safe trajectories in dynamic environments. This problem appears in …

Optimality of augmented ideal proportional navigation for maneuvering target interception

N Cho, Y Kim - IEEE Transactions on Aerospace and Electronic …, 2016 - ieeexplore.ieee.org
The augmented ideal proportional navigation guidance law is derived as the closed-loop
nonlinear optimal feedback solution for maneuvering target interception. The derived …

Collision cones for quadric surfaces

A Chakravarthy, D Ghose - IEEE Transactions on Robotics, 2011 - ieeexplore.ieee.org
The problem of collision prediction in dynamic environments appears in several diverse
fields, which include robotics, air vehicles, underwater vehicles, and computer animation. In …

True-proportional-navigation inspired finite-time homing guidance for time constrained interception

SR Kumar, D Mukherjee - Aerospace Science and Technology, 2022 - Elsevier
This paper addresses the problem of controlling impact time against various types of target–
stationary, constant velocity, or maneuvering. Analytical expression of time-to-go, that is …

3D guidance law modeling

E Duflos, P Penel, P Vanheeghe - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
Proportional navigation (PN) guidance laws (GLs) have been widely used and studied in the
guidance literature. But most of the guidance literature on PN has concentrated on the …

Three-dimensional suboptimal nonlinear impact time guidance against non-maneuvering target

RV Nanavati, SR Kumar, A Maity - Aerospace Science and Technology, 2021 - Elsevier
In this paper, a nonlinear suboptimal three-dimensional guidance strategy based on a finite-
time state-dependent Riccati equation technique is proposed to achieve interception of a …

Three plane approach for 3D true proportional navigation

I Moran, T Altilar - AIAA guidance, navigation, and control conference …, 2005 - arc.aiaa.org
A new three-dimensional (3D) guidance approach is proposed in this paper. It's called Three
Plane Approach (TPA). The main goal of this work is to derive an effective and practical …

Capture region of a GIPN guidance law for missile and target with bounded maneuverability

F Tyan - IEEE Transactions on Aerospace and Electronic …, 2011 - ieeexplore.ieee.org
In this paper, a novel method is used to analyze the capture area of three-dimensional
general ideal proportional navigation (GIPN) guidance laws. Using a line-of-sight (LOS) …

Analysis of general ideal proportional navigation guidance laws

F Tyan - Asian Journal of Control, 2016 - Wiley Online Library
In this work, the capture region of the general ideal proportional navigation guidance law is
analyzed with the following constraints:(i) the target's input acceleration is subject to …

Three-dimensional finite-time guidance law based on sliding mode adaptive RBF neural network against a highly manoeuvering target

G Wu, K Zhang, Z Han - The Aeronautical Journal, 2022 - cambridge.org
In order to intercept a highly manoeuvering target with an ideal impact angle in the three-
dimensional space, this paper promises to probe into the problem of three-dimensional …