This paper formulates the Mayer optimal control problem for an endoatmospheric, non-lifting, finite-thrust vehicle, and considers singular extremals. Using Lie brackets, the singular control is derived and expressed in a state feedback form. The totality of extremals indicates that a forced Keplerian motion obtained by thrust-drag cancellation is not optimal for any Mayer performance criterion. In addition, this paper proves two theorems establishing limits on the optimality of bang-bang control for such a system, and develops a heuristic for the sufficiency of bang-bang optimal control. A sample problem of optimal orbital maintenance indicates the importance of thrust-vectoring for greater propellant efficiency.
|Original language||English (US)|
|Number of pages||17|
|Journal||Journal of the Astronautical Sciences|
|State||Published - Jan 1993|
All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Space and Planetary Science