Abstract:

Future incoming missiles may have a large maneuvering potential and can perform random maneuvers, rendering their trajectory unpredictable. For the pursuitevasion game of an interceptor tries to intercept ballistic missile warhead, the pursuit-evasion game based differential game (DG) theory is modeled and the collocation solving method is given. The differential equations model takes the thrust angle as control variable and flight height, velocity, longitude as state variables, it also considers earth gravity and rotation effects. We transform the two-side DG problem into a single objective problem, and then give the collocation solving method. The method employs the fifth degree Gauss-Lobatto quadrature rule with improved accuracy to approximate describe the time derivative of state, after that we transform differential equations to algebraic equations. Experimental study verifies the model and the proposed method.