Prescribed-Time Nash Equilibrium Seeking for Multi-Cluster UAVs Pursuit-Evasion Game Based on Non-Cooperative Game

This study focuses on achieving Nash equilibrium in multi-cluster pursuit-evasion games involving fixed-wing unmanned aerial vehicles (UAVs). A novel control strategy, grounded in non-cooperative game theory, is proposed for multi-cluster UAV systems operating under prescribed-time constraints. The algorithm balances intra-cluster cooperation and inter-cluster competition, ensuring the successful interception of multiple evading UAVs. It provides a robust framework to address the complexities inherent in multi-cluster pursuit-evasion scenarios, thereby enhancing UAV applications. Numerical simulations validate the algorithm’s ability to achieve Nash equilibrium within the prescribed-time frame, thus confirming both its theoretical validity and practical effectiveness.