Abstract: For penetration trajectory optimization of reentry vehicle with constraints of waypoints and no-fly zones, a multi-phase optimization strategy based on adaptive hp pseudospectral method is proposed. The trajectory optimization model considering waypoints, no-fly zones, heating rate, g-load and dynamic pressure
is given. The associated optimization is converted into a nonlinear programming problem by using the Radau pseudospectral method. The concept of linkage nodes is introduced to deal with constraints of waypoints and no-fly zones. Combined with adaptive distribution of nodes, the above idea is implemented with general pseudospectral optimization software. Simulation results show that the proposed method can capture any discontinuities and smoothness in states and control variables as well as the boundary of no-fly zones, and adapt to solve the optimization problem of penetration trajectory with waypoints and no-fly zones.

Key words: penetration trajectory, adaptive hp pseudospectral, general pseudospectral optimization, hypersonic reentry vehicle