Trajectory generation for quadrotor based systems using numerical optimal control

The recent work on quadrotor have focused on more and more challenging tasks with increasingly complex systems. Systems are often augmented with slung loads, inverted pendulums or arms, and accomplish complex tasks such as going through a window, grasping, throwing and catching. Usually, controllers are designed to accomplish a specific task on a specific system using analytic solutions, so each application needs long preparations. On the other hand, the direct multiple shooting approach is able to solve complex problems without any analytic development, by using off-the-shelf optimization solver. In this paper, we show that this approach is able to solve a wide range of problems relevant to quadrotor systems, from on-line trajectory generation for quadrotors to going through a window for a quadrotor-and-pendulum system, through manipulation tasks for a aerial manipulator.

Authors

• Mathieu Geisert
• Nicolas Mansard

Keywords

• Trajectory
• Optimal control
• Heuristic algorithms
• Manipulators
• Load modeling
• Optimization
• Numerical Optimization
• Trajectory Generation
• Numerical Optimal Control
• Direct Approach
• Pendulum
• Manipulation Tasks
• Optimization Solver
• Multiple Shoots
• Degrees Of Freedom
• Optimization Problem
• System Dynamics
• Cost Function
• State Space
• Dynamic Programming
• Model Predictive Control
• Robotic Arm
• Optimal Control Problem
• Obstacle Avoidance
• Sequential Quadratic Programming
• Terminal Constraint
• Complex Trajectories
• Sliding Time Window
• Local Frame
• Mass Matrix
• Goal Position
• General Manner