Optimal Point-to-Point Motion Control of Robots With Redundant Degrees of Freedom

1986 ◽  
Vol 108 (2) ◽  
pp. 120-126 ◽  
Author(s):  
R. G. Fenton ◽  
B. Benhabib ◽  
A. A. Goldenberg
Keyword(s):  
Motion Control ◽  
Degrees Of Freedom ◽  
Generalized Inverse ◽  
Optimization Procedure ◽  
Merit Function ◽  
Robot Arm ◽  
Optimal Point ◽  
Motion Time ◽  
Point Motion ◽  
Point To Point

Control of a kinematically redundant robot arm requires an optimization procedure to determine the motion of the end effector. The criterion for optimization can be minimum motion time, minimum joint displacement increments or a combined merit function specified according to the requirements of the user. Three different methods may be used to perform the computations and obtain the joint coordinate increments for the point-to-point motion control of the robot. The methods are the “direct,” the “pseudoinverse” and the “generalized inverse” methods. These methods are described in detail in this paper, and results obtained with the three methods are compared on the basis of performing simulated tasks. It is concluded that the generalized inverse method is the most suitable, general method for point-to-point control of robots with more than six degrees-of-freedom.

Analytical Trajectory Optimization of Seven Degrees of Freedom Redundant Robots

1987 ◽  
Vol 11 (4) ◽  
pp. 197-200 ◽  
Author(s):  
B. Benhabib ◽  
R.G. Fenton ◽  
A.A. Goldenberg
Keyword(s):  
Trajectory Planning ◽  
Trajectory Optimization ◽  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Optimization Problem ◽  
Optimization Procedure ◽  
Redundant Robots ◽  
Point Motion ◽  
Point To Point ◽  
Lagrange’S Method

The basic characteristic of kinematically redundant robots is that non-unique joint solutions may exist for a specified end effector location. Thus, trajectory planning for a kinematically redundant robot requires an optimization procedure to determine the joint displacements when solving the inverse kinematics relations. In this paper an analytical solution is developed for the trajectory optimization problem of redundant robots based on the classical Lagrange’s method. A detailed formulation is provided for seven degrees of freedom robots, which minimizes the Euclidean norm of joint dislacements for point-to-point motion trajectory planning.

Model predictive control for time-optimal point-to-point motion control

2011 ◽  
Vol 44 (1) ◽  
pp. 2458-2463 ◽  
Author(s):  
Lieboud Van den Broeck ◽  
Moritz Diehl ◽  
Jan Swevers
Keyword(s):  
Model Predictive Control ◽  
Motion Control ◽  
Predictive Control ◽  
Optimal Point ◽  
Point Motion ◽  
Time Optimal ◽  
Point To Point

Kinematics Analysis and Motion Control of a Mobile Robot Driven by Three Tracked Vehicles

2018 ◽  
Author(s):  
Xin-Jun Liu ◽  
Zhao Gong ◽  
Fugui Xie ◽  
Shuzhan Shentu
Keyword(s):  
Mobile Robot ◽  
Motion Planning ◽  
Degrees Of Freedom ◽  
Inverse Kinematic ◽  
Planning Method ◽  
Tracked Vehicles ◽  
Loop Control ◽  
Point Motion ◽  
Point To Point ◽  
Motion Mode

In this paper, a mobile robot named VicRoB with 6 degrees of freedom (DOFs) driven by three tracked vehicles is designed and analyzed. The robot employs a 3-PPSR parallel configuration. The scheme of the mechanism and the inverse kinematic solution are given. A path planning method of a single tracked vehicle and a coordinated motion planning of three tracked vehicles are proposed. The mechanical structure and the electrical architecture of VicRoB prototype are illustrated. VicRoB can achieve the point-to-point motion mode and the continuous motion mode with employing the motion planning method. The orientation precision of VicRoB is measured in a series of motion experiments, which verifies the feasibility of the motion planning method. This work provides a kinematic basis for the orientation closed loop control of VicRoB whether it works on flat or rough road.

The Application of Command Shaping to the Tracking Problem

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
Michael C. Reynolds ◽  
Peter H. Meckl
Keyword(s):  
Control Problem ◽  
Motion Control ◽  
Tracking Error ◽  
Tracking Problem ◽  
Command Shaping ◽  
Optimal Tracking ◽  
Tracking Technique ◽  
Optimal Input ◽  
Point Motion ◽  
Point To Point

This work presents a novel technique for the solution of an optimal input for trajectory tracking. Many researchers have documented the performance advantages of command shaping, which focuses on the design of an optimal input. Nearly all research in command shaping has been centered on the point-to-point motion control problem. However, tracking problems are also an important application of control theory. The proposed optimal tracking technique extends the point-to-point motion control problem to the solution of the tracking problem. Thus, two very different problems are brought into one solution scheme. The technique uses tolerances on trajectory following to meet constraints and minimize either maneuver time or input energy. A major advantage of the technique is that hard physical constraints such as acceleration or allowable tracking error can be directly constrained. Previous methods to perform such a task involved using various weightings that lack physical meaning. The optimal tracking technique allows for fast and efficient exploration of the solution space for motion control. A solution verification technique is presented and some examples are included to demonstrate the technique.

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