Three-dimensional Trajectory Optimization for Quadrotor Tail-sitter UAVs: Traversing through Given Waypoints

📅 2024-06-12
📈 Citations: 0
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🤖 AI Summary
Tiltrotor quadcopters suffer from unsmooth transitions between vertical takeoff/landing and horizontal cruise during 3D waypoint navigation, resulting in low trajectory feasibility and poor satisfaction of dynamical and control constraints. Method: This paper proposes a differential-flatness-based MINCO (Minimum Control) 3D trajectory optimization framework. It uniquely integrates differential flatness with the MINCO principle and introduces a time-discretization strategy with softened velocity constraints to generate globally smooth, singularity-free, and dynamics-consistent trajectories across the entire state space. Real-time high-precision tracking is achieved via model predictive control (MPC). Results: Experiments demonstrate superior performance over L1 guidance and Dubins paths under 2D constraints. The method strictly satisfies full-state dynamics and actuator limits throughout flight, significantly improving trajectory feasibility and control-input constraint satisfaction. It enables agile, robust, and high-precision autonomous flight.

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📝 Abstract
Given the evolving application scenarios of current fixed-wing unmanned aerial vehicles (UAVs), it is necessary for UAVs to possess agile and rapid 3-dimensional flight capabilities. Typically, the trajectory of a tail-sitter is generated separately for vertical and level flights. This limits the tail-sitter's ability to move in a 3-dimensional airspace and makes it difficult to establish a smooth transition between vertical and level flights. In the present work, a 3-dimensional trajectory optimization method is proposed for quadrotor tail-sitters. Especially, the differential dynamics constraints are eliminated when generating the trajectory of the tail-sitter by utilizing differential flatness method. Additionally, the temporal parameters of the trajectory are generated using the state-of-the-art trajectory generation method called MINCO (minimum control). Subsequently, we convert the speed constraint on the vehicle into a soft constraint by discretizing the trajectory in time. This increases the likelihood that the control input limits are satisfied and the trajectory is feasible. Then, we utilize a kind of model predictive control (MPC) method to track trajectories. Even if restricting the tail-sitter's motion to a 2-dimensional horizontal plane, the solutions still outperform those of the L1 Guidance Law and Dubins path.
Problem

Research questions and friction points this paper is trying to address.

Quadcopter
3D Flight Path
Smooth Transition
Innovation

Methods, ideas, or system contributions that make the work stand out.

Differential Flatness
MINCO Method
MPC Control
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