Optimal Path Planning for High-Altitude Low-Speed Aerostats Under Complex Constraints

High-altitude low-speed aerostats are ideal unmanned platforms for communication coverage, remote sensing, environmental monitoring, aviation support, and other applications. To address practical operational needs such as rapid emergency deployment, this paper proposes a path planning method for low-speed aerostats based on the Markov decision process (MDP). The method is optimized to minimize deployment time while accounting for discrepancies between forecasted and actual wind fields. An uncertain wind field model is established to incorporate wind-related uncertainties into the MDP framework, with key parameters—including the state space, action set, immediate reward, and transition probability—designed accordingly. A mathematical model is formulated to address the global path planning problem under complex constraints, such as horizontal wind resistance capability, altitude control capacity, and flight time requirements. Simulation results demonstrate that the proposed method enables aerostats to achieve optimal 2D and 3D path planning under complex constraints. Furthermore, regional reachability is quantitatively analyzed, providing technical support for the rapid deployment of aerostats to target areas in practical applications. The core innovations of this work lie in the integration of a probabilistic wind uncertainty model with a constraint-aware MDP framework, enabling optimal 3D path planning and quantitative reachability analysis for high-altitude low-speed aerostats.