Path-following for a class of nonlinear systems with unstable zero dynamics

In the practical path-following problem formulated in this paper, it is required that the error between the system output and the desired geometric path be less then any prespecified constant. If in a nonlinear MIMO system the output derivatives do not enter the zero dynamics, a geometric condition on the path is given under which a solution to this problem exists. The solution is obtained by combining input-to-state stability and switched-system methodology.