Simple-motion pursuit-evasion differential games, part 2: Optimal evasion from proportional navigation guidance in the deterministic and stochastic cases

1986 ◽  
Vol 51 (1) ◽  
pp. 129-159 ◽  
Author(s):  
M. Pachter ◽  
Y. Yavin
Keyword(s):  
Differential Games ◽  
Proportional Navigation ◽  
Simple Motion ◽  
Pursuit Evasion ◽  
Optimal Evasion ◽  
Proportional Navigation Guidance

Planar Pursuit-Evasion Subjected to Control Energy Constraint

1989 ◽  
Vol 111 (4) ◽  
pp. 661-666
Author(s):  
Y. Yavin ◽  
R. deVilliers
Keyword(s):  
Differential Games ◽  
Vertical Plane ◽  
Variable Speed ◽  
Proportional Navigation ◽  
Optimal Feedback ◽  
Pursuit Evasion ◽  
Gravitational Forces ◽  
Guidance Law ◽  
Pursuit Strategy ◽  
Proportional Navigation Guidance

This work deals with two stochastic planar pursuit-evasion differential games where the pursuer is subject to constraints on its control magnitude and its control energy, whereas the evader is subject only to a magnitude constraint on its control. In the first game the motion of the players is confined to the horizonal plane, while in the second their motion is confined to the vertical plane. In both games, owing to thrust, drag, and gravitational forces, the pursuer has a variable speed. The treatment is concerned mainly with the question of how far a certain type of proportional navigation guidance law is a good approximation to an optimal feedback pursuit strategy.

Co-operative 3D salvo attack of multiple missiles under switching topologies subject to time-varying communication delays

2019 ◽  
Vol 123 (1262) ◽  
pp. 464-483
Author(s):  
X.L. Ai ◽  
L.L. Wang ◽  
Y.C. Shen
Keyword(s):  
Initial Conditions ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Communication Delays ◽  
Proportional Navigation ◽  
Stationary Target ◽  
Switching Topologies ◽  
Guidance Law ◽  
Multiple Missiles ◽  
Proportional Navigation Guidance

ABSTRACTThis study focuses on the co-operative salvo attack problem of multiple missiles against a stationary target under jointly connected switching topologies subject to time-varying communication delays. By carefully exploring certain features of the typical pure proportional navigation guidance law, a two-stage distributed guidance scheme is proposed without any information on time-to-go in this study to realise the simultaneous attack of multiple missiles. In the first guidance stage, a co-operative guidance law is proposed using local neighbouring communications only to achieve consensus on range-to-go and heading error to provide favourable initial conditions for the latter phase, in which switching topologies and time-varying communication delays are taken into account when obtaining sufficient conditions of consensus in terms of linear matrix inequalities. Then, missiles disconnect from each other and are guided individually by the typical pure proportional navigation guidance law with the same navigation gain to realise salvo attack in the second guidance phase. Finally, numerical simulations are carried out to clearly validate the theoretical results.

scholarly journals Nonsingular PNG-Based Impact Time Control Guidance with Lower Dependence on Time-to-Go Estimate

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Sijiang Chang ◽  
Shengfu Chen
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Research Literature ◽  
Proportional Navigation ◽  
Impact Time ◽  
Time Control ◽  
Practical Engineering ◽  
Adjustable Range ◽  
Natural Characteristics ◽  
Proportional Navigation Guidance

In a bid to take advantage of natural characteristics of the proportional navigation guidance (PNG) in practical engineering, the PNG-based impact time control guidance (ITCG) continues to be a popular alternative for achieving the desired impact time of a missile. For most such ITCG, the performance is dependent on the accuracy of the time-to-go estimation. Along the lines of the development of PNG-based ITCG in earlier studies, a nonsingular ITCG is proposed on the basis of nonlinear formulations. It is demonstrated that, by theoretical analysis and numerical simulation, this proposed ITCG is shown to be advantageous in certain circumstances. By deriving a novel additional acceleration command, the proposed law is of lower dependence on time-to-go estimate and is capable of eliminating some singularities, leading to wider adjustable range of the desired impact time and better adaptability to more conditions. This research is expected to be supplementary to those presented in the current research literature.

Sign in / Sign up

Export Citation Format

Share Document