Stochastic control in a determinate differential pursuit-evasion game

2011 ◽  
Vol 72 (2) ◽  
pp. 305-322 ◽  
Author(s):  
N. N. Krasovskii ◽  
A. N. Kotel’nikova
Keyword(s):  
Stochastic Control ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit

scholarly journals Qualitative criterion for interception in a pursuit/evasion game

2009 ◽  
Vol 466 (2117) ◽  
pp. 1365-1371 ◽  
Author(s):  
J. A. Morgan
Keyword(s):  
Nash Equilibrium ◽  
Initial Position ◽  
Initial Time ◽  
Sufficient Condition ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit ◽  
The Future ◽  
Qualitative Criterion ◽  
Future Cone

A qualitative account is given of a differential pursuit/evasion game. A criterion for the existence of an intercept solution is obtained using future cones that contain all attainable trajectories of target or interceptor originating from an initial position. A sufficient and necessary conditon that an opportunity to intercept always exists is that, after some initial time, the future cone of the target be contained within the future cone of the interceptor. The sufficient condition may be regarded as a kind of Nash equilibrium.

scholarly journals Minimization of energy costs for UAV management in a conflict task

2021 ◽  
Vol 279 ◽  
pp. 01006
Author(s):  
Viktor Lapshin ◽  
Stanislav Ivanov
Keyword(s):  
Control Strategy ◽  
Game Problem ◽  
Energy Losses ◽  
Energy Costs ◽  
State Variables ◽  
Conflict Task ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit ◽  
Linear Differential

This article considers the method of developing an evader control strategy in the non-linear differential pursuit-evasion game problem. It is assumed that the pursuer resorts to the most probable control strategy in order to capture the evader and that at each moment the evader knows its own and the enemy’s physical capabilities. This assumption allows to bring the game problem down to the problem of a unilateral evader control, with the condition of reaching a saddle point not obligatory to be fulfilled. The control is realised in the form of synthesis and additionally ensures that the requirements for bringing the evader to a specified area with terminal optimization of certain state variables are satisfiedt. The solution of this problem will significantly reduce the energy losses for controlling an unmanned vehicle, the possible effect is to save 15-20 % of fuel with a probability of 0.98, to solve the problem of chasing the enemy.

scholarly journals Predictive pursuit-evasion game control method for approaching space non-cooperative target

2020 ◽  
Vol 53 (2) ◽  
pp. 14882-14887
Author(s):  
Yuan Chai ◽  
Jianjun Luo ◽  
Mingming Wang ◽  
Min Yu
Keyword(s):  
Control Method ◽  
Pursuit Evasion ◽  
Evasion Game

scholarly journals Collaborative Pursuit-Evasion Strategy of UAV/UGV Heterogeneous System in Complex Three-Dimensional Polygonal Environment

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Xiao Liang ◽  
Honglun Wang ◽  
Haitao Luo
Keyword(s):  
Visual Field ◽  
Heterogeneous System ◽  
Three Dimensional ◽  
Unmanned Ground Vehicle ◽  
Worst Case ◽  
Ground Vehicle ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Evasion Strategy ◽  
Aerial Vehicle

The UAV/UGV heterogeneous system combines the air superiority of UAV (unmanned aerial vehicle) and the ground superiority of UGV (unmanned ground vehicle). The system can complete a series of complex tasks and one of them is pursuit-evasion decision, so a collaborative strategy of UAV/UGV heterogeneous system is proposed to derive a pursuit-evasion game in complex three-dimensional (3D) polygonal environment, which is large enough but with boundary. Firstly, the system and task hypothesis are introduced. Then, an improved boundary value problem (BVP) is used to unify the terrain data of decision and path planning. Under the condition that the evader knows the position of collaborative pursuers at any time but pursuers just have a line-of-sight view, a worst case is analyzed and the strategy between the evader and pursuers is studied. According to the state of evader, the strategy of collaborative pursuers is discussed in three situations: evader is in the visual field of pursuers, evader just disappears from the visual field of pursuers, and the position of evader is completely unknown to pursuers. The simulation results show that the strategy does not guarantee that the pursuers will win the game in complex 3D polygonal environment, but it is optimal in the worst case.

Sign in / Sign up

Export Citation Format

Share Document