Receding-Horizon Differential Game of Nonlinear Four-Wheeled Vehicle Models

This study applies differential game theory to simplified four-wheeled vehicle models. We describe the motions of two four-wheeled vehicles on plane as nonlinear systems and formulate receding-horizon differential game problems. Performance indexes of the differential games have a moving performance interval. The game optimal solution (minimax solution) is calculated by applying a real-time algorithm without successive approximation. Numerical results of pursuit-evasion and overtaking are reported and discussed.