Applications

Aerospace

Racing quadcopters

Vehicle–trajectory co-design

We apply vehicle and trajectory co-design to quadcopters flying through gates and around obstacles. The fastest feasible path depends on propulsion, mass, and rotor geometry, so a trajectory optimized for one vehicle need not suit another.

Designing the vehicle for the course

The study combines differentiable flight and propulsion models with direct collocation and geometric path constraints. Comparisons across gate courses illustrate how the preferred vehicle configuration changes with the maneuvering task, linking hardware choices to the flight profile they enable.

Study: Soliman Villapando, Simultaneous Vehicle and Trajectory Optimization of Unmanned Aerial Vehicles in Constrained Environments, master's thesis presentation.

Vehicle and trajectory co-design produces a minimum-time quadcopter flight through constrained gate courses. Villapando, master's thesis presentation.
The co-designed quadcopter configuration evolves together with its optimized flight trajectory. Villapando, master's thesis presentation.

Optimization problem

Optimization formulation
CaseQuadrotor co-design for gate and obstacle courses
ObjectiveMinimize course completion time.
Design variables14 vehicle variables: motor mass, battery mass, arm length, rotor radius, five blade-twist values, and five blade-chord values; trajectory states, controls, and final time.
ConstraintsCollocation dynamics and initial/final conditions; rotor speed between 0 and 30,000 RPM; motor torque, motor power, and battery power limits; gate-crossing and obstacle-avoidance conditions.
Models and conditionsRigid-body flight dynamics, quasi-steady rotor inflow, and electromechanical scaling models, with aerodynamic loads evaluated in BladeAD and derivatives computed in CSDL.
Representative sourceSoliman S. Villapando, Simultaneous Vehicle and Trajectory Optimization of Unmanned Aerial Vehicles in Constrained Environments, master’s thesis presentation.

Research connections

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