柔軟ケーブルを運ぶ飛行ロボット：スペクトル法モデルによる動的形状最適制御
Aerial Robots Carrying Flexible Cables: Dynamic Shape Optimal Control via Spectral Method Model
柔軟ケーブルを吊り下げたクアッドロータの形状と位置を、PODで低次元化したモデルに基づく非線形モデル予測制御で追従させる手法を提案し、シミュレーションと実機で有効性を示した。
著者: Yaolei Shen, Antonio Franchi, Chiara Gabellieri
分類: cs.RO, cs.SY, eess.SY
原文アブストラクト
In this work, we present a model-based optimal boundary control design for an aerial robotic system composed of a quadrotor carrying a flexible cable. The whole system is modeled by partial differential equations (PDEs) combined with boundary conditions described by ordinary differential equations (ODEs). The proper orthogonal decomposition (POD) method is adopted to project the original infinite-dimensional system on a finite low-dimensional space spanned by orthogonal basis functions. Based on such a reduced order model, nonlinear model predictive control (NMPC) is implemented online to realize both position and shape trajectory tracking of the flexible cable in an optimal predictive fashion. The proposed POD-based reduced modeling and optimal control paradigms are verified in simulation using an accurate high-dimensional FDM-based model and experimentally using a real quadrotor and a cable. The results show the viability of the POD-based predictive control approach (allowing closing the control loop on the full system state) and its superior performance compared to an optimally tuned PID controller (allowing closing the control loop on the quadrotor state only).
