Comparison of null-space and minimal null-space control algorithms

Generated the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

GENERALIZED FUZZY VALUED $theta$-Choquet INTEGRALS AND THEIR DOUBLE-NULL ASYMPTOTIC ADDITIVITY

The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

Stability of Null-space Control Algorithms

The paper deals with the stability of control algorithms in extended operational space for redundant robots. We compare the performance of the control algorithm based on minimal-null space projection and pseudoinverse based projection into the Jacobian null space. We show how the null-space projection affects the stability of the null-space tracking algorithm. The results are verified with the ...