Abstract:Aiming at the problem of trajectory optimization of high-speed aircraft based on energy management, this paper proposes a trajectory optimization method of high-speed aircraft based on convex optimization, considering the strict constraints of the engine working process on flight state. It is considered that under the premise that the engine runs out of fuel and shuts down. The total impulse of the aircraft is certain, and the optimal trajectory with the longest range can be solved to meet the needs of hypersonic long-distance flight missions. First, based on the particle model of aircraft longitudinal dynamics, the fourth-order dynamic equation with aircraft mass as variable is obtained, and the problem of solving the optimal trajectory of aircraft range considering engine working constraints is transformed into a series of nonlinear programming problems. Second, the nonlinear programming problem is transformed into a second-order cone programming problem. After linearization and discretization of the dynamic equation and inequality constraints, the primal-dual interior point method is used to solve the problem, and the optimal trajectory is obtained. Finally, the simulation results show that the proposed optimization method is within the engine working constraints and the optimal trajectory based on the least energy is obtained.