In this study, the problem of time-optimal trans-media maneuver trajectory design for the morphing unmanned aerial-underwater vehicles (MUAUVs) is considered. A the three-degree MUAVU dynamic model to plan the optimal flight and navigation trajectory is established. To solve the trajectory optimization model, the improved Radau pseudospectral method (RPM) is used to transform the optimal control model into a nonlinear programming problem (NLP). A double-layer hybrid solver based on the improved grey wolf algorithm and sequential quadratic programming (IGWO-SQP) is designed to solve the NLP under complex constraints. The outer layer employs an improved grey wolf optimization algorithm based on scouting strategy and the inner layer adopts a gradient-based SQP algorithm, which overcomes the disadvantage of sensitive initial value of traditional algorithm. The simulation results demonstrated that the proposed method is effective and feasible to solve the trajectory optimization of MUAUVs. A comparative study between air-water and water-air trans-media optimal trajectory verifies the proposed method which is usually applied to the aircraft is feasible to solve the underwater navigation trajectory of the MUAUV.
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