One dimensional trajectory optimization for horizontal position correction of spot hovering stratosphere airship

Power supply is a critical problem for stratospheric airship so it's important to operate airship in the optimal motion mode. This paper studies the optimal trajectory for position correction when airship is drifted away to spot hovering boundary. The optimization model is firstly built under the assumptions of constant wind field and constant propeller efficiency. Then, by using the minimal principle of Pontryagin, the trajectory optimization problem is converted into a Hamiltonian boundary value problem (HBVP). Finally, the optimal control policy and the optimal trajectory are given by solving the HBVP analytically.