Combining direct and indirect methods in optimal control: Range maximization of hang glider. (English) Zbl 0808.65067
Bulirsch, R. (ed.) et al., Optimal control. Calculus of variations, optimal control theory and numerical methods. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 111, 273-288 (1993).
The authors consider the problem of the optimal range flight (maximal horizontal distance from the starting point) of a glider through a given thermal, whose distribution is defined by the upward wind velocity, as a function of the horizontal distance. The glider is subject to his weight, a lift force and a drag force. The lift force and the relative velocity are linked by a coefficient which plays the role of the control.
The problem is modeled by the minimum principles with adjoint variables. It is solved numerically, by combining a direct collocation method and a multiple shooting method.
For the entire collection see [Zbl 0780.00018].
The problem is modeled by the minimum principles with adjoint variables. It is solved numerically, by combining a direct collocation method and a multiple shooting method.
For the entire collection see [Zbl 0780.00018].
Reviewer: A.Bacciotti (Torino)
MSC:
| 65K10 | Numerical optimization and variational techniques |
| 49M37 | Numerical methods based on nonlinear programming |
| 49J15 | Existence theories for optimal control problems involving ordinary differential equations |
| 49N70 | Differential games and control |
| 49N75 | Pursuit and evasion games |
| 70Q05 | Control of mechanical systems |
