The purpose of this paper is to show the use of some analytical tools for hybrid optimal control. We illustrate both the hybrid maximum principle and the hybrid necessary principle at work on a simple example of a car with gears. The model is sufficiently rich to generate non-trivial optimization problems and the obtained results match with intuition. Finally, computer simulations confirm the theoretical analysis.
D'Apice, C., Garavello, M., Manzo, R., Piccoli, B. (2003). Hybrid optimal control: case study of a car with gears. INTERNATIONAL JOURNAL OF CONTROL, 76(13), 1272-1284 [10.1080/0020717031000147520].
Hybrid optimal control: case study of a car with gears
GARAVELLO, MAURO;
2003
Abstract
The purpose of this paper is to show the use of some analytical tools for hybrid optimal control. We illustrate both the hybrid maximum principle and the hybrid necessary principle at work on a simple example of a car with gears. The model is sufficiently rich to generate non-trivial optimization problems and the obtained results match with intuition. Finally, computer simulations confirm the theoretical analysis.
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