Null-Space-Based Multi-Player Pursuit-Evasion Games Using Minimum and Maximum Approximation Functions

Guo，Xinxin1,2; Guo，An3; Zhao，Suping4

2022-11-01

10.3390/electronics11223729

Electronics (Switzerland)   Impact Factor & Quartile

2079-9292

In this article, pursuit and evasion policies are developed for multi-player pursuit–evasion games, while obstacle avoidance and velocity constraints are considered simultaneously. As minimum and maximum approximation functions are both differentiable, pursuit and evasion objectives can be transformed into solving the corresponding differential expressions. For obstacle avoidance, a modified null-space-based approach is designed, which can ensure that all pursuers and evaders of pursuit–evasions are safe to minimize pursuit objective and maximize evasion objective, respectively. Rigorous theoretical analyses are provided to design constrained pursuit and evasion policies with obstacle avoidance. Finally, the performance of proposed policies is demonstrated by simulation results in 3-dimensional space.

approximation functions null-space-based approach obstacle avoidance pursuit–evasion games

SCI

English

Corresponding

China Postdoctoral Science Foundation[2021M701548];National Natural Science Foundation of China[62103182];

Computer Science ; Engineering ; Physics

Computer Science, Information Systems ; Engineering, Electrical & Electronic ; Physics, Applied

WOS:000887128200001

MDPI

2-s2.0-85142439853

Scopus

1.School of Marine Science and Technology,Northwestern Polytechnical University,Xi’an,710072,China
2.Department of Mechanical and Energy Engineering,Southern University of Science and Technology,Shenzhen,518005,China
3.School of Armament Science and Technology,Xi’an Technological University,Xi’an,710021,China
4.School of Electronic Information Engineering,Xi’an Technological University,Xi’an,710021,China

Guo，Xinxin,Guo，An,Zhao，Suping. Null-Space-Based Multi-Player Pursuit-Evasion Games Using Minimum and Maximum Approximation Functions[J]. Electronics (Switzerland),2022,11(22).

Guo，Xinxin,Guo，An,&Zhao，Suping.(2022).Null-Space-Based Multi-Player Pursuit-Evasion Games Using Minimum and Maximum Approximation Functions.Electronics (Switzerland),11(22).

Guo，Xinxin,et al."Null-Space-Based Multi-Player Pursuit-Evasion Games Using Minimum and Maximum Approximation Functions".Electronics (Switzerland) 11.22(2022).