An Extended Jacobian-Based Formulation for Operational Space Control of Kinematically Redundant Robot Manipulators With Multiple Subtask Objectives: An Adaptive Control Approach

2019 ◽  
Vol 141 (5) ◽  
Author(s):  
Kamil Cetin ◽  
Enver Tatlicioglu ◽  
Erkan Zergeroglu
Keyword(s):  
Stability Analysis ◽  
Tracking Control ◽  
Robot Manipulators ◽  
Robot Dynamics ◽  
Simulation Studies ◽  
Matrix Formulation ◽  
Redundant Robot ◽  
Control Approach ◽  
Operational Space ◽  
The Stability

In this study, an extended Jacobian matrix formulation is proposed for the operational space tracking control of kinematically redundant robot manipulators with multiple subtask objectives. Furthermore, to compensate the structured uncertainties related to the robot dynamics, an adaptive operational space controller is designed, and then, the corresponding stability analysis is presented for kinematically redundant robot manipulators. Specifically, the proposed method is concerned with not only the stability of operational space objective but also the stability of multiple subtask objectives. The combined stability analysis of the operational space objective and the subtask objectives are obtained via Lyapunov based arguments. Experimental and simulation studies are presented to illustrate the performance of the proposed method.

Theory and Experiments on the Compliance Control of Redundant Robot Manipulators

1990 ◽  
Vol 112 (4) ◽  
pp. 653-660 ◽  
Author(s):  
H. Kazerooni ◽  
K. G. Bouklas ◽  
J. Guo
Keyword(s):  
Degrees Of Freedom ◽  
Control Method ◽  
Robot Manipulators ◽  
Industrial Robot ◽  
Redundant Robot ◽  
Control Approach ◽  
Six Degrees Of Freedom ◽  
The Stability ◽  
Control Methodology ◽  
Theory And Experiments

This work presents a control methodology for compliant motion in redundant robot manipulators. This control approach takes advantage of the redundancy in the robot’s degrees of freedom: while a maximum six degrees of freedom of the robot control the robot’s endpoint position, the remaining degrees of freedom impose an appropriate force on the environment. To verify the applicability of this control method, an active end-effector is mounted on an industrial robot to generate redundancy in the degrees of freedom. A set of experiments are described to demonstrate the use of this control method in constrained maneuvers. The stability of the robot and the environment is analyzed.

On Operational Space Tracking Control of Robotic Manipulators With Uncertain Dynamic and Kinematic Terms

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Kamil Cetin ◽  
Enver Tatlicioglu ◽  
Erkan Zergeroglu
Keyword(s):  
Tracking Control ◽  
Joint Space ◽  
Robot Dynamics ◽  
Robust Controller ◽  
Operational Space ◽  
Asymptotic Tracking ◽  
Robust Adaptive ◽  
And Performance ◽  
The Stability ◽  
Velocity Level

In this study, a continuous robust-adaptive operational space controller that ensures asymptotic end-effector tracking, despite the uncertainties in robot dynamics and on the velocity level kinematics of the robot, is proposed. Specifically, a smooth robust controller is applied to compensate the parametric uncertainties related to the robot dynamics while an adaptive update algorithm is used to deal with the kinematic uncertainties. Rather than formulating the tracking problem in the joint space, as most of the previous works on the field have done, the controller formulation is presented in the operational space of the robot where the actual task is performed. Additionally, the robust part of the proposed controller is continuous ensuring the asymptotic tracking and relatively smooth controller effort. The stability of the overall system and boundedness of the closed loop signals are ensured via Lyapunov based arguments. Experimental results are presented to illustrate the feasibility and performance of the proposed method.

Stability Analysis of a Class of Nonlinear Controllers

2003 ◽  
Author(s):  
T. Ravichandran ◽  
G. R. Heppler ◽  
D. W. L. Wang
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Tracking Control ◽  
Global Exponential Stability ◽  
Feedback Controller ◽  
Nonlinear Gain ◽  
Nonlinear Controllers ◽  
Simulation Results ◽  
Pd Feedback Controller ◽  
The Stability

The stability analysis of a class of nonlinear PD-plus-feedforward controllers is presented for the tracking control of rigid robot manipulators. The controller structure is composed of a nonlinear gain PD feedback controller and a manipulator dynamics feedforward term. The class of representations used for the nonlinear gain PD feedback controller is extended and global exponential stability is proved. Simulation results are included to illustrate the performance of this class of nonlinear controllers.

Distributed attitude coordination tracking control for spacecraft formation with time-varying delays

2017 ◽  
Vol 40 (6) ◽  
pp. 2082-2087 ◽  
Author(s):  
Zhihao Zhu ◽  
Yu Guo ◽  
Chenxing Zhong
Keyword(s):  
Tracking Control ◽  
Consensus Algorithm ◽  
Time Varying ◽  
Coordination Control ◽  
Control Approach ◽  
Spacecraft Formation ◽  
Common Time ◽  
Communication Time ◽  
The Stability ◽  
Attitude Synchronization

To solve the problem of attitude synchronization for spacecraft formation with communication time-varying delays, this paper investigates a distributed attitude coordination tracking control strategy in which a directed graph contains a spanning tree with the leader as the root. Based on second-order consensus algorithm and graph theory, we propose a novel distributed attitude coordination control approach, which can regulate the attitude of spacecraft to a common time-varying reference states in case of time-varying delays. And the stability of the system is proved via Lyapunov Razumikhin theory. Simulation results demonstrate the effectiveness of the proposed control approach.

scholarly journals Robust Control Based Stability Analysis and Trajectory Tracking of Triple Link Robot Manipulator

2021 ◽  
Vol 54 (4) ◽  
pp. 641-647
Author(s):  
Mukul Kumar Gupta ◽  
Roushan Kumar ◽  
Varnita Verma ◽  
Abhinav Sharma
Keyword(s):  
Stability Analysis ◽  
Robust Control ◽  
Tracking Control ◽  
Robot Manipulator ◽  
Torque Control ◽  
Control Technique ◽  
Control Law ◽  
Worst Case ◽  
Control Techniques ◽  
The Stability

In this paper the stability and tracking control for robot manipulator subjected to known parameters is proposed using robust control technique. The modelling of robot manipulator is obtained using Euler- Lagrange technique. Three link manipulators have been taken for the study of robust control techniques. Lyapunov based approach is used for stability analysis of triple link robot manipulator. The Ultimate upper bound parameter (UUBP) is estimated by the worst-case uncertainties subject to bounded conditions. The proposed robust control is also compared with computer torque control to show the superiority of the proposed control law.

scholarly journals Novel Voltage-Based Weighted Hybrid Force/Position Control for Redundant Robot Manipulators

Electronics ◽  
2022 ◽  
Vol 11 (2) ◽  
pp. 179
Author(s):  
Jun Dai ◽  
Yi Zhang ◽  
Hua Deng
Keyword(s):  
Dynamic Model ◽  
Control Algorithm ◽  
Position Control ◽  
Impedance Control ◽  
Robot Manipulators ◽  
Lyapunov Stability Theory ◽  
Control Laws ◽  
Redundant Robot ◽  
Transport Experiment ◽  
The Stability

Existing hybrid force/position control algorithms mostly explicitly contain a dynamic model. Moreover, force and position controllers will be switched frequently. To solve the above problems, a novel voltage-based weighted hybrid force/position control algorithm is proposed for redundant robot manipulators. Firstly, mapping between voltage and terminal position and orientation is established so that the designed controller can be simplified by adopting the motor current as the feedback to replace the tedious calculation of the dynamic model. Secondly, a voltage-based weighted hybrid force/position control algorithm is proposed to eliminate the selection matrix. Force and position control laws are summed directly through a weighted way to avoid the problems of space decomposition and switching. Thirdly, the stability is proven using Lyapunov stability theory, then the selection method for weighted coefficient is provided. Fourthly, comparative simulations are performed. Results show that the proposed algorithm is suitable for impedance control and hybrid force/position control and can compensate for their deficiencies. Lastly, the transport experiment in the YZ plane is conducted. Results show that position and force accuracies in the Y- and Z-axis directions are 3.489 × 10−4 and 7.313 × 10−4 m and 1.238 × 10−1 and 1.997 × 10−1 N, respectively. Accordingly, it can effectively improve the operation capability and control accuracy.

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