Arbitrary time stabilization of a coupled tank system: A contraction based approach

Abstract

In this paper, we discuss stabilization in arbitrary time. The class of free-will arbitrary time stable system is considered. Stability has been analyzed using contraction theory. It is shown that the trajectories contracts towards one another within a given arbitrary time, thus leading to free-will arbitrary time stabilization of the system. The given strategy performs satisfactorily on a benchmark example of the coupled tank system. © 2020 IEEE.