Trajectory optimisation of an aerobatic air race
| Autor: | H. van der Plas, Hendrikus G. Visser |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
020301 aerospace & aeronautics
Collocation Computer science Aerospace Engineering Equations of motion 02 engineering and technology Optimal control 01 natural sciences 010305 fluids & plasmas Course (navigation) Euler angles symbols.namesake 0203 mechanical engineering Control theory 0103 physical sciences Path (graph theory) Trajectory symbols Quaternion |
| Zdroj: | The Aeronautical Journal. 113:1-8 |
| ISSN: | 2059-6464 0001-9240 |
| DOI: | 10.1017/s0001924000002724 |
| Popis: | This paper deals with the synthesis of optimal trajectories for aerobatic air races. A typical example of an air race event is the Red Bull Air Race World Series, where high-performance aerobatic aircraft fly a prescribed slalom course consisting of specially designed inflatable pylons, known as ‘air gates’, in the fastest possible time. The trajectory that we seek to optimise is based on such a course. The air race problem is formulated as a minimum-time optimal control problem and solved in open-loop form using a direct numerical multi-phase trajectory optimisation approach based on collocation and non-linear programming. The multiphase feature of the employed collocation algorithm is used to enable a Receding-Horizon optimisation approach, in which only a limited number of manoeuvres in sequence is considered. It is shown that the Receding-Horizon control approach provides a near-optimal solution at a significantly reduced computational cost relative to trajectory optimisation over the entire course. To avoid the path inclination singularity in the equations of motion based on Euler angles, a point-mass model formulation is used that is based on quaternions. Numerical results are presented for an Extra 300S, a purpose-designed aerobatic aircraft. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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