Generating optimal dynamic motions for closed-chain robotic systems

2005 ◽  
Vol 24 (3) ◽  
pp. 504-518 ◽  
Author(s):  
T. Chettibi ◽  
M. Haddad ◽  
A. Labed ◽  
S. Hanchi
Author(s):  
Hendrik Beck ◽  
Johanna J Schultz ◽  
Christofer J Clemente

Abstract Robotic systems for complex tasks, such as search and rescue or exploration, are limited for wheeled designs, thus the study of legged locomotion for robotic applications has become increasingly important. To successfully navigate in regions with rough terrain, a robot must not only be able to negotiate obstacles, but also climb steep inclines. Following the principles of biomimetics, we developed a modular bio-inspired climbing robot, named X4, which mimics the lizard’s bauplan including an actuated spine, shoulders, and feet which interlock with the surface via claws. We included the ability to modify gait and hardware parameters and simultaneously collect data with the robot’s sensors on climbed distance, slip occurrence and efficiency. We first explored the speed-stability trade-off and its interaction with limb swing phase dynamics, finding a sigmoidal pattern of limb movement resulted in the greatest distance travelled. By modifying foot orientation, we found two optima for both speed and stability, suggesting multiple stable configurations. We varied spine and limb range of motion, again showing two possible optimum configurations, and finally varied the centre of pro- and retraction on climbing performance, showing an advantage for protracted limbs during the stride. We then stacked optimal regions of performance and show that combining optimal dynamic patterns with either foot angles or ROM configurations have the greatest performance, but further optima stacking resulted in a decrease in performance, suggesting complex interactions between kinematic parameters. The search of optimal parameter configurations might not only be beneficial to improve robotic in-field operations but may also further the study of the locomotive evolution of climbing of animals, like lizards or insects.


Author(s):  
Abhinandan Jain

Operational space modeling and control are important techniques for robot manipulation. A key element of operational space control is the operational space inertia matrix (OSIM). The OSIM matrix represents a mapping between end-effector spatial forces and spatial accelerations and is configuration-dependent. In the case of multiple end-effectors, the OSIM also encapsulates the dynamics cross coupling between the end-effectors. The rich structure of the OSIM for tree systems has been exploited by researchers for analysis and the development of low-order computational algorithms. Extending such techniques to the OSIM for closed-chain robotic systems is the focus of this short paper. We derive explicit analytical expressions for the closed-chain OSIM that reveals its close relationship to an extended tree-system OSIM.


2017 ◽  
Vol 2 (4) ◽  
pp. 1832-1839 ◽  
Author(s):  
Zhou Xian ◽  
Puttichai Lertkultanon ◽  
Quang-Cuong Pham
Keyword(s):  

Robotica ◽  
2015 ◽  
Vol 35 (3) ◽  
pp. 687-711 ◽  
Author(s):  
Gerasimos G. Rigatos

SUMMARYThe Derivative-free nonlinear Kalman Filter is used for developing a robust controller which can be applied to underactuated MIMO robotic systems. The control problem for underactuated robots is non-trivial and becomes further complicated if the robot is subjected to model uncertainties and external disturbances. Using differential flatness theory it is shown that the model of a closed-chain 2-DOF robotic manipulator can be transformed to linear canonical form. For the linearized equivalent of the robotic system it is shown that a state feedback controller can be designed. Since certain elements of the state vector of the linearized system cannot be measured directly, it is proposed to estimate them with the use of a novel filtering method, the so-called Derivative-free nonlinear Kalman Filter. Moreover, by redesigning the Kalman Filter as a disturbance observer, it is shown that one can estimate simultaneously external disturbance terms that affect the robotic model or disturbance terms which are associated with parametric uncertainty. The efficiency of the proposed Kalman Filter-based control scheme is tested in the case of a 2-DOF planar robotic manipulator that has the structure of a closed-chain mechanism.


2020 ◽  
pp. 1-17
Author(s):  
Ricard Bordalba ◽  
Lluis Ros ◽  
Josep M. Porta
Keyword(s):  

1993 ◽  
Vol 115 (3) ◽  
pp. 585-591 ◽  
Author(s):  
Xiaochun Gao ◽  
Shin-Min Song ◽  
Chun Qi Zheng

Foot forces in walking machines and finger forces in multi-fingered grippers are usually indeterminate due to the multi-closed-chain geometry of the systems. While many methods were proposed to solve the force distribution of such systems, a method called stiffness matrix method [2] was developed based on the concept that the force must satisfy the equations of material deformations. However, only leg compliances were considered in the stiffness matrix method. In this paper, the stiffness matrix method is generalized to include all the major system compliances, i.e., those of legs (fingers), actuators and terrain (object to be grasped). Based on the developed generalized stiffness matrix method, an example of foot force analysis of a quadruped is presented to demonstrate the effects of different system compliances on the foot forces.


Author(s):  
Alex De Bonis ◽  
Federica Angeletti ◽  
Paolo Iannelli ◽  
Paolo Gasbarri

AbstractA currently relevant topic is the development of on-orbit servicing missions designed to repair, refuel or deorbit non-co-operative spacecraft. For this purpose, it is possible to use space robotic systems composed of a main platform and one or more robotic arms. In this paper, the capacity of a dual-arm robotic system to manipulate and to deorbit a generic target will be analyzed. For this purpose, a mixed Kane–Newton multi-body model will be implemented; this model will allow to switch automatically from an open-chain configuration (target captured via a single robotic arm) to a closed-chain configuration (target captured via both robotic arms) and vice versa. The flexibility of the joints of the system and the flexibility of the components of the robotic arms will be considered in the model. The system will be properly sized to operate the deorbiting of the target. Under the hypothesis of planar motion, numerical results will be presented to validate the model and to demonstrate the correct sizing of the system.


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