On the continuity of Cascaded Generalized Inverse redundancy resolution, with application to kinematically redundant manipulators

Author(s):  
Travis Baratcart ◽  
Valerio Salvucci ◽  
Takafumi Koseki
Author(s):  
Ashish Singla ◽  
Jyotindra Narayan ◽  
Himanshu Arora

In this paper, an attempt has been made to investigate the potential of redundant manipulators, while tracking trajectories in narrow channels. The behavior of redundant manipulators is important in many challenging applications like under-water welding in narrow tanks, checking the blockage in sewerage pipes, performing a laparoscopy operation etc. To demonstrate this snake-like behavior, redundancy resolution scheme is utilized using two different approaches. The first approach is based on the concept of task priority, where a given task is split and prioritize into several subtasks like singularity avoidance, obstacle avoidance, torque minimization, and position preference over orientation etc. The second approach is based on Adaptive Neuro Fuzzy Inference System (ANFIS), where the training is provided through given datasets and the results are back-propagated using augmentation of neural networks with fuzzy logics. Three case studies are considered in this work to demonstrate the redundancy resolution of serial manipulators. The first case study of 3-link manipulator is attempted with both the approaches, where the objective is to track the desired trajectory while avoiding multiple obstacles. The second case study of 7-link manipulator, tracking trajectory in a narrow channel, is investigated using the concept of task priority. The realistic application of minimum-invasive surgery (MIS) based trajectory tracking is considered as the third case study, which is attempted using ANFIS approach. The 5-link spatial redundant manipulator, also known as a patient-side manipulator being developed at CSIR-CSIO, Chandigarh is used to track the desired surgical cuts. Through the three case studies, it is well demonstrated that both the approaches are giving satisfactory results.


Robotica ◽  
1996 ◽  
Vol 14 (2) ◽  
pp. 235-239 ◽  
Author(s):  
Shugen Ma ◽  
Dragomir N. Nenchev

SUMMARYLocal torque minimization for redundant manipulators has been considered by using a redundancy resolution approach. Since its initial formulation, however, proposed solutions have been plagued by performance instabilities. Till now, the reason was not clear. In this paper it is shown that the instability problem occurred because of incorrect formulation. A correct formulation is proposed, which is used to analyze the reason for instability. Special attention is paid to joint acceleration terms at the selfmotion manifold. This helps explaining the recent formulation of a stable scheme based on local joint velocity minimization in terms of torque. The results obtained. are related to dynamic redundancy resolution in general.


Author(s):  
Fernando B. M. Duarte ◽  
J. A. Tenreiro Machado

Redundant manipulators have some advantages when compared with classical arms because they allow the trajectory optimization, both on the free space and on the presence of obstacles, and the resolution of singularities. For this type of arms the proposed kinematic control algorithms adopt generalized inverse matrices but, in general, the corresponding trajectory planning schemes show important limitations. Motivated by these problems this paper studies the pseudoinverse-based trajectory planning algorithms, using the theory of fractional calculus.


1995 ◽  
Vol 117 (3) ◽  
pp. 454-459 ◽  
Author(s):  
J. T. Wang

A dynamical formulation based upon the undetermined force method is presented for analyzing redundant robotic manipulators. The equivalence between this dynamical formulation and the general solution of kinematic constraint equations is then obtained through use of a normalized generalized inverse. This leads to a special form of the dynamical equations, called the N-inverse form of the dynamical equations. A class of problems, associated with the optimization of quadratic objective functions, are then studied. We find that the N-inverse form of the dynamical equations is the solution of this class of problems. Examples, including local minimization of joint torques and global minimization of kinetic energy, are presented.


2017 ◽  
Vol 872 ◽  
pp. 303-309
Author(s):  
Hai Rui Cao ◽  
Xiao Qin Gu ◽  
Chu Hong Yu

In this paper, a gradient projection method for redundant robot manipulators based on weighted generalized inverse was presented. By weighting the Jacobian matrix and gradient, not only the obstacles, but also the joint limits could be avoided. In the process of obstacle avoidance, the evaluation function called danger field measuring the dangerous level between the manipulator and obstacles was used and improved. According to the relationship between the value of danger field and the preset threshold, a smooth and continuous transition between the primary and secondary tasks is allowed. This method was proved to be effective by numerical simulations in Matlab.


Author(s):  
José María Rico Martínez ◽  
Joseph K. Davidson

Abstract The geometrical properties of the generalized inverse, a scheme frequently applied to the inverse velocity analysis of redundant manipulators, are presented. The columns of the Jacobian matrix, as well as, the rows of the generalized inverse are identified with infinitesimal screws. Then, many geometric properties of these screws are obtained and summarized, especially those that relate to the location of the row screws that appear in the generalized inverse. These properties are then used to develop a simplified alternative method for computing the generalized inverse of planar redundant manipulators.


Sign in / Sign up

Export Citation Format

Share Document