Journal Article

·2019 OPEN ACCESS

SQP Optimization of 6dof 3x3 UPU Parallel Robotic System for Singularity Free and Maximized Reachable Workspace

Cenk Eryılmaz YTU , Vasfi Emre Ömürlü YTU

Journal of Robotics

Abstract

The determination of kinematic parameters for a parallel robotic system (PRS) is an important and a critical phase to maximize reachable workspace while avoiding singular configurations. Stewart Platform (SP) mechanism is one of the widely known PRS and it is used to demonstrate the proposed technique. In the related literature, GCI (Global Condition Index) and LCI (Local Condition Index) are the commonly used performance indexes which give a measure about the dexterity of a mechanism. In this work, Sequential Quadratic Programming (SQP) method is used to optimize kinematic parameters of a 6dof 3x3 UPU SP in order to reach maximum workspace satisfying small condition numbers. The radius of mobile and base platforms and the lengths of the legs used in the platform are chosen as kinematic parameters to be optimized in a multiobjective optimization problem. Optimization is performed at different stages and the number of optimized kinematic parameters is increased at each level. In conclusion, optimizing selected kinematic parameters at once by using SQP technique presents the best results for the PRS.

Keywords

Workspace Kinematics Sequential quadratic programming Computer science Mechanism (biology) Singularity Control theory (sociology) Mathematical optimization Initialization Measure (data warehouse) Quadratic programming Simulation Robot Mathematics Artificial intelligence Geometry

Subject Areas

Robotic Mechanisms and Dynamics ·Control and Systems Engineering ·Physical Sciences
Manufacturing Process and Optimization ·Industrial and Manufacturing Engineering ·Physical Sciences
Robot Manipulation and Learning ·Control and Systems Engineering ·Physical Sciences

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