冗長ハイブリッド手術システムの制約付き同時運動制御のための凸最適化フレームワーク
A Convex Optimization Framework for Constrained Concurrent Motion Control of a Hybrid Redundant Surgical System
6自由度ロボットアームと1自由度連続体マニピュレータからなる冗長手術システムに対し、ADMMを用いた凸最適化による冗長性解決制御を提案し、線形収束を証明した。
著者: Farshid Alambeigi, Shahriar Sefati, Mehran Armand
分類: cs.RO
原文アブストラクト
We present a constrained motion control framework for a redundant surgical system designed for minimally invasive treatment of pelvic osteolysis. The framework comprises a kinematics model of a six Degrees-of-Freedom (DoF) robotic arm integrated with a one DoF continuum manipulator as well as a novel convex optimization redundancy resolution controller. To resolve the redundancy resolution problem, formulated as a constrained l2-regularized quadratic minimization, we study and evaluate the potential use of an optimally tuned alternating direction method of multipliers (ADMM) algorithm. To this end, we prove global convergence of the algorithm at linear rate and propose expressions for the involved parameters resulting in a fast convergence. Simulations on the robotic system verified our analytical derivations and showed the capability and robustness of the ADMM algorithm in constrained motion control of our redundant surgical system.
