In path-following the control objective is to force the output to follow a geometric path without a timing law assigned to it. We highlight a fundamental difference between the path-following and the standard reference-tracking by demonstrating that performance limitation due to unstable zero-dynamics can be removed in the path-following problem.

A path-following problem for linear systems with unstable zero dynamics is solved. While the original control variable steers the system output along the path, the path parameter θ is used as an additional control to stabilize zero dynamics with a feedback law which is nonlinear due to the path constraint. A sufficient condition for solvability of the path-following problem is given in terms of...

The path following is the automatic control of the mobile robot along the specified path without human interference. The proposed path following applies for the robot navigation in unknown environments, where the robot has no preliminary information about obstacles. This paper presents an innovative idea for the path following control that is to integrate the basic path following control with t...

in the following, i describe the sufi path (tariqa) as a dialectical process which transforms the person through love. i examine the belief system of islamic mystics as a journey involving both creativity and passion. i do so by using a fresh approach, a perspective that has heretofore yet to be applied to the spiritual alchemy of the sufis.